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Tuesday, January 29, 2013

States of India (2013)


States of India

Clickable Map of India:

Click to know about the history of the states. 

After the partition of British India into India and Pakistan, there were 9 provinces and about 460 princely states in India. Most of the princely states within the Indian territory consented to join India. Some joined India under their own initiative and others were convinced by Sardar Villabbhai Patel (a very senior member of the Indian Congress) to join India. Patel who held negotiations with the princely states, came to an agreement with the princely state rulers that they would continue getting monthly allowances as they were given to them by the British. And so began the designing of the internal map of India.

The big princely states of Mysore, Hyderabad and Kashmir remained in their original sizes and became new Indian states. To the big provinces like Bombay, Orissa and Bengal, small princely states around them were joined and these provinces also became new India's states. In north India some clinging princely states were joined together to create a new state. Rajastan was created in this way. Along with the states which the government created, there were also regions in India which for different reasons were subjected directly to the central government and were called union territories. For example Himachal Pradesh in north India was created by adjoining some princely states. It was a union territory.

Indian leaders and politicians who had different linguistic and cultural backgrounds demanded that the Indian states should be based on linguistic and cultural boundaries. The central government leaders, which belonged to the Congress party, opposed this idea. They feared that this could eventually lead towards separation of different Indian societies from India and would break the unity. But after a few years of opposition the central government agreed to create Indian states based on linguistic differences.

The first step in this direction was made in 1953 when Andra Pradesh, in south India, was created for the Telegu speakers. In 1956 began the first organized process of creating Indian states based on linguistic differences. Among the states created that year were, Andra Pradesh which was created by adjoining certain parts of Telegu speaking areas from former Madras province and most of Hyderabad. For speakers of Malyalam, the state of Kerala was created. For Kanadda speakers the state of Mysore was created (which later on changed its name to Karnataka) from the former Mysore state and also from Kanadda speaking regions in Bombay, Madras and Hyderabad states. Along with states created based on linguistic boundaries, some other big states were created by joining small nearby states. For example Madya Pradesh, Punjab and Rajastan.

The central Indian government did not accept demands of all different cultural leaders for an autonomous Indian state. For example, the Sikhs wanted an autonomous Punjabi state which would have a Sikh majority with its official language, Punjabi. The central government did not accept this demand, instead created in 1956 the state of Punjab, which included also Hindi speakers in its territory and did not have a Sikh majority. But the Sikhs did not give up and continued demanding the Punjab state and in 1966, Punjab was parted into three new states. One of three states remained with the name Punjab and most of the Sikh population of India lived within its territory, but they were not the complete majority of that state. Another demand the central government did not accept was of the Maithali speakers, in present day Bihar, who also demanded a separate autonomous state for Maithali speakers.

Maharashtra for Marathi speakers and Gujarat for Gujarati speakers were created in 1960. Gujarat was created on northern part of the former Bombay state and Maharashtra was created from southern Bombay state and were joined to it parts of Madya Pradesh and Hyderabad. This process erased from India's map the state of Hyderabad, which was now distributed within three different states. Not all Gujaratis were enthused by the creation of new Gujarati state because this division meant that they had to give up the city of Bombay to the Maharashtrians.

Later on other states were created. In east India the state of Assam was parted a few times to create some new states. In 1963, Nagaland was created. In 1972, Manipur was created and there were others small states created from parts of Assam. In west India, Goa was established as a state in 1987. Before their establishment as states, Goa; Manipur and Nagaland were union territories. In the states that exist in India today, there are demands by other communities of India to create new autonomous states for their communities.

These demands for new states in India rise and fall according to the political power of the demanders. To point out such demands, which exist or existed, one can point out the demand of Jammu residents for an autonomous Jammu state in present day Kashmir. The Buddhist of Ladakh in Kashmir also demand autonomous state. In Bihar there was a demand for a separate Maithali state for Maithali speakers. In west Bengal, the Gurkha demands an autonomous Gurkhaland in north Bengal. Along the borders of Orissa and Bihar some tribal communities demanded to create Jharkhand. Similar demands of the aboriginal tribes of India exist in Maharashtra, Uttar Pradesh and Andra Pradesh. 

In the year 2000, three new states were established in India. Jharkhand, Chhattisgarh and Uttaranchal. Jharkhand and Chhattisgarh were created from parts of Bihar and Orissa. And Uttaranchal was created from north Uttar Pradesh.

Prime Ministers of India


Prime Ministers of India

      Indian National Congress       Janata Party       Janata Dal       Bhartiya Janta Party
NameEntered officeLeft office
1Jawaharlal Nehru 
(14 Nov 1889 - 27 May 1964)
15-Aug-4727-May-64
2Gulzarilal Nanda 
(4 Jul 1898 - 15 Jan 1998)
27-May-649-Jun-64
3Lal Bahadur Shastri 
(2 Oct 1904 - 11 Jan 1966)
9-Jun-6411-Jan-66
2Gulzarilal Nanda 
(4 Jul 1898 - 15 Jan 1998)
11-Jan-6619-Feb-66
4Indira Gandhi 
(19 Nov 1917 - 31 Oct 1984)
19-Jan-6624-Mar-77
5Morarji Desai 
(29 Feb 1896 - 10 Apr 1995)
24-Mar-7728-Jul-79
6Choudhary Charan Singh 
(23 Dec 1902 - 29 May 1987)
28-Jul-7915-Jan-80
4Indira Gandhi 
(19 Nov 1917 - 31 Oct 1984)
15-Jan-8031-Oct-84
7Rajiv Gandhi 
(20 Aug 1944 - 21 May 1991)
31-Oct-842-Dec-89
8Vishwanath Pratap Singh
(25 Jun 1931 - present)
2-Dec-8910-Nov-90
9Chandra Shekhar 
(1 Jul 1927 - 8 Jul 2007)
10-Nov-9021-Jun-91
10P. V. Narasimha Rao 
(28 Jun 1921 - 23 Dec 2004)
21-Jun-9116-May-96
11Atal Behari Vajpayee 
(25 Dec 1924 - present)
16-May-961-Jun-96
12H. D. Deve Gowda 
(18 May 1933 - present)
1-Jun-9621-Apr-97
13Inder Kumar Gujral 
(Dec 1919 - present)
21-Apr-9719-Mar-98
11Atal Behari Vajpayee 
(25 Dec 1924 - present)
19-Mar-9822-May-04
14Manmohan Singh 
(26 Sep 1932 - present)
22-May-04present

Presidents of India


Presidents of India

      Indian National Congress       Janata Party       Independent A Acting
 PresidentTook officeLeft officeVice-President
 1Rajendra PrasadJan 26, 1950May 13, 1962Sarvepalli Radhakrishnan
 2Sarvepalli RadhakrishnanMay 13, 1962May 13, 1967Zakir Hussain
 3Zakir HussainMay 13, 1967May 03, 1969Varahagiri Venkata Giri
 AVarahagiri Venkata GiriMay 03, 1969Jul 20, 1969 
 AMuhammad HidayatullahJul 20, 1969Aug 24, 1969 
 4Varahagiri Venkata GiriAug 24, 1969Aug 24, 1974Gopal Swarup Pathak
 5Fakhruddin Ali AhmedAug 24, 1974Feb 11, 1977Basappa Danappa Jatti
 ABasappa Danappa JattiFeb 11, 1977Jul 25, 1977 
 6Neelam Sanjiva ReddyJul 25, 1977Jul 25, 1982Muhammad Hidayatullah
 7Giani Zail SinghJul 25, 1982Jul 25, 1987Ramaswamy Venkataraman
 8Ramaswamy VenkataramanJul 25, 1987Jul 25, 1992Shankar Dayal Sharma
 9Shankar Dayal SharmaJul 25, 1992Jul 25, 1997Kocheril Raman Narayanan
 10Kocheril Raman NarayananJul 25, 1997Jul 25, 2002Krishan Kant
 11A. P. J. Abdul KalamJul 25, 2002Jul 25, 2007Bhairon Singh Shekhawat
 12Pratibha PatilJul 25, 2007IncumbentMohammad Hamid Ansari

History of India, Hindi


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Indian HistoryIndian history and culture is full of richness and affluence, which undoubtedly has had a significant impact on the evolution of the current society. Home to the Indus Valley civilization and a region of historic trade routes and vast empires, the Indian history is identified with its commercial and cultural wealth over the past thousands of years. Four major world religions, Hinduism, Buddhism, Jainism and Sikhism originated here, while Zoroastrianism, Judaism, Islam and Christianity arrived in the first millennium AD and mingled into the region's diverse culture. India became a modern nation-state in 1947 after a struggle for independence that was marked by widespread nonviolent resistance. The history of India can be divided into four major segments, the ancient era, the medieval era, the modern era and the post-independence era. 

The hallmark of Indian history dates back to the stone age with paintings at the Rock Shelters of Bhimbetka in Madhya Pradesh. These paintings symbolise the earliest known traces of human life in India. The first known permanent settlements appeared over 9,000 years ago and gradually developed into the Indus Valley Civilization, dating back to 3300 BCE in western India. It was followed by the Vedic Civilization, which laid the foundations of Hinduism and other cultural aspects of early Indian society. From around 550 BCE, many independent kingdoms and republics known as the Mahajanapadas were established across the country. 

The empire built by the Maurya dynasty under Emperor Ashoka united most of South Asia in the third century BCE. From 180 BCE, a series of invasions from Central Asia followed, including those led by the Indo-Greeks, Indo-Scythians, Indo-Parthians and Kushans in the north-western Indian subcontinent. From the third century CE, the Gupta dynasty oversaw the period referred to as "The Golden Age" of Indian history. Among the notable South Indian empires were the Chalukyas, Rashtrakutas, Hoysalas, Pallavas, Pandyas, and Cholas. Science, engineering, art, literature, astronomy, and philosophy flourished under the patronage of these kings. Paintings at the Ajanta Caves in Aurangabad, Maharashtra were made in the 6th century. 

A number of invasions from Central Asia between the tenth and twelfth centuries is an important landmark in history of India, as much of north India came under the rule of the Delhi Sultanate, and later the Mughal dynasty. Mughal emperors gradually expanded their kingdoms to cover large parts of the subcontinent. Nevertheless, several indigenous kingdoms, such as the Vijayanagara Empire, flourished, especially in the south. In the seventeenth and eighteenth century, the Mughal supremacy declined and the Maratha Empire became the dominant power. From the sixteenth century, several European countries, including Portugal, Netherlands, France, and the United Kingdom, started arriving as traders and later took advantage of the fractious nature of relations between the kingdoms to establish colonies in the country. 

The first half of the twentieth century is an important period in the history of India, as a nationwide struggle for independence was launched by the Indian National Congress and other political organizations. Led by Mahatma Gandhi, and displaying commitment to ahimsa, or non-violence, millions of protesters engaged in mass campaigns of civil disobedience. Finally, on 15 August 1947, India gained independence from British rule, but was partitioned, in accordance with the wishes of the Muslim League, along the lines of religion to create the Islamic nation-state of Pakistan. Three years later, on 26 January 1950, India became a republic and a new constitution came into effect. Unfortunately, Indian history since independence has been marked by poverty, corruption, and intermittent periods of chaos. 

The history of India is a mingle between the East and the West. India has always been an invader's paradise, while at the same time its natural isolation and magnetic religions allowed it to adapt to and absorb many of the peoples who penetrated its mountain passes. No matter how many Persians, Greeks, Chinese nomads, Arabs, Portuguese, Britishers and other raiders had their way into this great country, many of them merged into the society giving rise to a country full of diversity in terms of culture, religion, language and architecture.



Hindi

The constitution of India (Article 343) recognises Hindi as the official language of India. Hindi is also the main language in many states of India such as Haryana, Rajasthan, Uttar Pradesh, Uttaranchal/ Uttarakhand, Bihar, Madhya Pradesh, Chhatisgarh and Himachal Pradesh. It is spoken by more than 437 million people in the world. The other dialects of Hindi are Brajbhasha, Bundeli, Awadhi, Marwari, Maithili, Bhojpuri, to name only a few.

Hindi can be traced back to as early as the seventh or eighth century. The dialect that has been chosen as the official language is Khariboli in the Devnagari script. Other dialects of Hindi are Brajbhasa, Bundeli, Awadhi, Marwari, Maithili and Bhojpuri.

It was in the 10th century that authentic Hindi poetry took its form and since then it has been constantly modified. History of Hindi literature as a whole can be divided into four stages: Adikal (the Early Period), Bhaktikal (the Devotional Period), Ritikal (the Scholastic Period) and Adhunikkal (the Modern Period).

Adikal-
Adikal starts from the middle of the 10th century to the beginning of the 14th century. The poetry of this period has been divided into three categories Apabhramsha Poetry, Heroic Poetry and Miscellaneous Poetry. Apabhramsha Poetry includes the Siddha literature (750-1200), the Nath literature and the Jain literature. Siddha literature was written in the popular language and this echoed devotional themes combined with a strong erotic feeling. Between the 7th and the 14th century, the poet Gorakhnath and his followers mainly composed the Nath literature. They avoided eroticism, scorned racial discrimination and put stress on moral values, using the Doha (couplet) and the Chaupai (quartet) styles in their poems. These compositions had a great influence on the Sant (devotional literature made popular by Rahim and Kabir et al) literature. During this period Jain poets like Swayambhu, Som Datt Suri, Sharang Dhar and Nalla Singh composed the Charit Kavyas, which propagate moral tenets and portrayals of Nature. Heroic Poetry was composed wholly in the native speech.

Bhakti Kal or the Devotional Period :
The bhakti kal stretched between the 14th and the 17th century. During this age Islamic customs were heaped upon the common people and the Hindus were quite dejected by this. The poets of this period felt that it was their moral duty to arouse a sense of devotion through religious poetry. These poets have been divided into two groups: Nirguna and Saguna poets, depending upon the devotional attitude towards the Lord. Nirgunas have been further divided into two groups on the basis of different sadhanas (disciplines) followed by them. Those that put emphasis on the importance of knowledge for the realization of God were called the Saint poets. Kabir Das, Guru Nanak, Dharma Das, Maluk Das, Dadudayal, Sunder Das belong to this genre. In their Sakhis (couplets) and Padas (songs) they condemned rituals and laid emphasis on the theory of Monotheism (the belief that there is one God).

Poets who believed love was the path of realizing God were called Sufi Poets. Jayasi, Manjhan, Kutuban and Usman were the pioneers of this school. Poets of the Saguna style are also divided into two groups: the followers of Rama and those of Krishna. Tulsi Das is the leading poet of the former group along with Agra Das, Nabha Das and Pran Chand Chauhan. Tulsi Das depicts Rama as the Ideal Man in his classical works Ramacharitamanasa, Gitavali, Kavitavali and Vinay Patrika. The devotees of Krishna have, however, portrayed him according to his popular image, that of the playful Krishna. These poets like Surdas, Nand Das, Parmananda Das and Meera have written about love and beauty. The devotional period created immortal literature and is distinguished as the golden age of Hindi Poetry.

Ritikal or the Scholastic period: 
The poets of Ritikal can be classified into two groups on the basis of their subject: Ritibaddha (those wedded to rhetorics) and Ritimukta (free from rhetorical conventions). The former poets composed on definitional and (Lakshana) and illustrative (Lakshya) themes. The essential nature of Rasa, Alankara, Nayikabheda were illustrated by them through Saviyas and Kavithas. Poets like Chintamani, Keshav, Mati Ram, Deva, Kulpati Misra and Bhikari Das were leaders of this style. The second group consists of free-minded poets like Alam, Ghananand, Bodha and Thakur. They wrote in a spontaneous manner with feelings of love, quite quite dissilimar to rhetorical poetry. This age saw two more poetic trends. Didactic poetry in stray verses composed by Vrinda, Vaital and Giridhar and Heroic Poetry by Bhushan, Sudan, Lal and various others.

Adhunikkal or Modern Period:
Modern Hindi literature has been divided into four phases; the age of Bharatendu or the Renaissance (1868-1893), Dwivedi Yug (1893-1918), Chhayavada Yug (1918-1937) and the Contemporary Period (1937 onwards). Bharatendu Harishchandra (1849-1882) brought in a modern outlook in Hindi literature and is thus called the 'Father of Modern Hindi Literature'. Mahavir Prasad Dwivedi later took up this vision. Dwivedi was a reformist by nature and he brought in a refined style of writing in Hindi poetry, which later acquired a deeper moral tone. This was the age of revival when the glory and grandeur of ancient Indian culture was fully adopted to enrich modern life. Social, political and economic problems were portrayed in poetry while songs were of social awakening. This trend helped in the emergence of National Cultural Poetry whose leading poets were Makhanlal Chaturvedi, Balkrishna Shama 'Navin', Siyaram Gupta and 'Dinkar'. These poets put more stress on moral aspect of life rather than on love or beauty, which later evolved in the Chhayavada style of poetry.

Kamayani is the zenith of this school and Chhayavada was best represented by Prasad, Nirala, Pant and Mahadevi Verma. After the decline of this movement in came the leftist ideology which found voice in two opposite styles of Hindi poetry. One was Progressivism and Prayogavada or later called Nai Kavita. The former was an effort of translating Marx's philosophy of Social realism into art. The most notable figure of this movement was Sumitranandan Pant. The latter safeguarded artistic freedom and brought in new poetic content and talent to reflect modern insight. The pioneers of this trend were Aggeya, Girija Kumar, Mathur and Dharamvir Bharati. A third style called Personal Lyrics also appeared, aiming at free and spontaneous human expressions with Harivansh Rai Bachchan as the leader of this trend. The history of Hindi poetry, thus, extends over a period of almost one thousand years.

The proper development of Hindi prose followed the rise and growth of Khari Boli (colloquial dialect). Pre-Bharatendu writers like Ram Prasad Niranjani, Sadasukh Lal, Insha Allah Khan and Sadal Misra composed proses mainly based on mythological stories. Insha Allah Khan used the typical Khari Boli while others were more influenced by Sanskrit and Braj Bhasha. The development of Hindi prose has been classified into three periods: The first phase (1868-1918), the period of growth (1918-1937) and the present age of excellence (1938 onwards).

The First Phase:
Prose literature of Bharatendu and Dwivedi era covers the first phase. The writers of this age developed drama, novel, short story, essay and literary criticism.Popular dramatic compositions were done mainly by Bharatendu Harishchandra, Bal Krishna Bhatt and Radha Krishna Das. They inclined more towards satires on contemporary conditions, social and patriotic plays. Eminent prosateurs of this age included Devaki Nandan Khatri (novelist), Chandradhar Sharma (short-story writer), Mahavir Prasad Dwivedi (essayist) and Padma Singh Sharma (critic).

The period of growth 
This is represented by Jayshankar Prasad, Rai Krishna Das and Mahadevi Varma. Drama acquired a distinct place for itself in this period but the theatre did not respond to it. Again, fiction attained new proportions with Premchand as its most outstanding representative.

The period of excellence 
This period came more whole-heartedly after the Independence of India in 1947. Hindi drama of this period laid emphasis on realistic expressions and two new forms evolved like poetic Drama and radio play. Now the theatre also became interested in enacting these plays. 'Ashka' Jagdish Chandra Mathur, Mohan Rakesh and Lakshminarayan Lal have acquired distinction amongst modern playwrights. Fiction made a wonderful progress during this period. Realism, psycho-analytical techniques and prose-style was the main ingredient of the plot structure. Modern Hindi fiction found its mentors in Yash Pal, Agyeya and Renu. Essay and literary criticism also developed during this period. Essayists like Hazari Prasad Dwivedi, Mahadevi Varma and Siyaram Sharan Gupta found new ways of expressing themselves through reminiscences, reportage and sketch. The history of Hindi prose is not expansive, as it had started out quite late. However, it has progressed at a rapid pace.

Partition of India

India received independence at midnight on 14 of August 1947, as the British Raj came to an end. On the same day, an islamic state Pakistan was born, which was carved out of Punjab and Bengal. The division of India into two parts, in spite of the unwillingness of Mahatma Gandhi, is known as the Parition of India. Sir Cyril Radcliffe did the carving in five weeks, and the demarcation on the map came to be known as Radcliffe Boundary Award. The partition of India led to an unprecedented transfer of a large number of people and rendered ten million homeless. Such a scale of migration of population is not known until now in history. An estimated twenty million Hindus left West Punjab and East Bengal, and eighteen million Muslims went to Pakistan. As a result of this mass movement, over half a million people lost their lives in Hindu-Muslim conflicts during migration; there were 22,000 reported cases of rape and kidnapping of women; 220,000 people were declared missing. The data given here is official, and it is difficult to reckon the actual numbers for these inhumane acts.
As a result of the partition of India, two self governing countries legally came into existence at the stroke of midnight on 14-15 August 1947. The ceremonies for the transfer of power were held a day earlier in Karachi, which was the capital of Pakistan during that time. The reason for an earlier ceremony in Karachi was to allow the last British Viceroy, Louis Mountbatten, to attend both the ceremony in Karachi as well as the ceremony in Delhi. Pakistan celebrates Independence Day on 14 August, while India celebrates it on 15 August.

Mountbatten Plan

The actual partition of India into two new dominions was done according to what is known as the 3rd June Plan or Mountbatten Plan.
The border between India and Pakistan was determined by a British government official. The commissioned report for the partition of India was referred to as the Radcliffe Award. It was named after the London lawyer, Sir Cyril Radcliffe, who wrote it. An islamic state, Pakistan came into existence with two non-contiguous enclaves. The first being East Pakistan (today Bangladesh) and the second being West Pakistan. Both the enclaves were separated geographically by India. India was carved from the majority Hindu regions of the colony, and Pakistan was carved from the majority Muslim areas.
On July 18, 1947, the Indian Independence Act was passed by the British Parliament that finalized the partition of India. The Government of India Act 1935 was adapted to provide a legal framework for the two new dominions. Following the partition of India, Pakistan was added as a new member state in the United Nations. The union formed from the fusion of the Hindu states assumed the name India, which was automatically granted a seat as a successor of British India. There were 565 Princely States which were not directly governed by British rule, but rather a ruler. After the partition of India, these states were given a choice to join either India or Pakistan.

Perspectives

The Partition of India was a highly controversial arrangement, and still remains a cause of much tension on the subcontinent. British Viceroy Lord Mountbatten has often been accused of rushing the process through, and is alleged to have influenced the Radcliffe Awards in India's favor. Everyone agreed that India being a secular nation would be a more desirable country, as compared to Pakistan, an islamic state. The commission took so long to decide on a final boundary that the two nations were granted their independence even before there was a defined boundary between them. Even then, the members were so upset at their work and its results that they refused compensation for their efforts on the commission.
A large number of critics allege that unprofessional management and haste led to the cruelties during the Partition of India. Independence was declared prior to the actual Partition of India, therefore it was up to the new governments of India and Pakistan to keep public order during the mass exodus from both the regions. No proper plans were implemented for population migration. It was an impossible task to efficiently handle a large movement of people for the newly formed governments on both sides, at which both the states failed. There was a complete breakdown of law and order; leading to many deaths in riots, massacre, or just from the hardships of their flight to safety. What ensued was one of the largest population movements in recorded history. According to Richard Symonds "at the lowest estimate, half a million people perished and twelve million became homeless."
However, some argue that the Britishers were forced to expedite the partition of India by events on the ground. Law and order had broken down many times with much bloodshed on both sides, before the partition of India. A massive civil war was looming in the country by the time Mountbatten became Viceroy. During World War II Britain had suffered, and had only limited resources. The limited resources perhaps were insufficient for the task of maintaining law and order. Probably, Mountbatten had no real options left and he tried to achieve the best he could under difficult circumstances. Historian Lawrence James concurs that in 1947 Louis Mounbatten was left with no option but to cut and run from India. The alternative being getting involved in a potentially bloody civil war which was looming in the country, from which it would have been difficult to get out. Some historians have argued that much of the blame for the massacres lies with the nationalists such as Nehru, Jinnah and Gandhi.

Religions in India

India known as the land of spirituality and philosophy, was the birthplace of some religions, which even exist today in the world.

The most dominant religion in India today is Hinduism. About 80% of Indians are Hindus. Hinduism is a colorful religion with a vast gallery of Gods and Goddesses. Hinduism is one of the ancient religions in the world. It is supposed to have developed about 5000 years ago. Later on in ancient period other religions developed in India.

Around 500 BC two other religions developed in India, namely, Buddhism and Jainism. Today only about 0.5% of Indians are Jains and about 0.7% are Buddhist. In ancient times Jainism and specially Buddhism were very popular in India. Indians who accepted Buddhist philosophy spread it not only within the Indian sub-continent but also to kingdoms east and south of India.

These three ancient religions, Hinduism, Buddhism and Jainism, are seen as the molders of the India philosophy. In 'modern' period new religions were also established in India.

One comparatively new religion in India is Sikhism and it was established in the 15th century. About 2% of Indians are Sikhs. There were other attempts to create new religions in India but they did not always succeed. For example, a Moghul emperor, Akbar, who reigned between 1556 - 1605, tried to establish a new religion, Din- E- Elahi, but it did not survive. There are other religious philosophies whose believers see themselves as a separate religion, but they do not always get this recognition. For example Lingayat of south India see themselves as a different religion, while others see them as a sect of Hinduism. There are also some tribal communities who demand to be recognized as separate religion from Hinduism. In the 19th century some Hindu reformers tried to remodel Hinduism to adjust it to modern period.

Along with the religions that developed in India, there are followers of non- Indian religions. The largest non-Indian religion is Islam. They are about 12% of India's population. Christians are more then 2% of India's population. There are also Zoroastrians who even though make less then 0.01% of India's population, are known around India. There are also a few thousand Jews in India. Judaism and Christianity might have arrived in India before they arrived in Europe.

Arrival of Non-Indo Religions

India, well known as the land of spirituality and philosophy, was the birthplace of Hinduism, Buddhism, Jainism and Sikhism among other religions. Along with the religions that developed in India, there are also followers of religions of non- Indian origins. Among these religions are Islam, Christianity, Zoroastrianism, Bahaism and Judaism. The followers of these different religions arrived in India at different times.

The largest religion of non-Indian origin is Islam. They are about 12% of India's population. Muslims who arrived in India converted Indians to Islam. Islam was spread in India through two means, peaceful and sword. The first spreaders of Islam in India were individuals who saw in spreading Islam a holy precept. They used peaceful means to convert to Islam. But most of Indians are believed to have converted to Islam through the sword, which means the Muslim invaders gave the Indians an option to choose between death and Islam. The different Muslim rulers of India also brought into their kingdoms Muslim mercenaries, businessmen and slaves from different parts of the world like Russia, Afghanistan, Turkey, Arab countries and Africa. These people remained in India, married local Indians and converted them to Islam.

Like the Muslims, the Christians, who arrived to India also converted Indians to their religion, Christianity. Christians are about 2.5% of India's population. Most of the Indians were converted to Christianity by the missionaries who arrived in India with the European powers from 15th century. Of the European powers, the Portuguese were most enthusiast to baptize Indians. But Christianity did not arrive in India with the arrival of European missionaries. It reached India almost 2000 years ago.

Christianity originates in Israel. One of the Apostles (the 12 chief disciples of Jesus), St. Judas Thomas, was a carpenter. He was brought to India by a merchant to build a temple. St. Thomas arrived in Kerala, in south India in 52 AD. He succeeded in converting local Indians to Christianity. His converts were called Syrian Christians. One assumption says that some of the Syrian Christians were actually local Jews converted by St. Judas Thomas to Christianity. The disciples of Jesus at first intended to convince the Jews to adopt the philosophy of Jesus as new Judaism. Therefore they arrived to regions where Jews had settled in the world. Among these regions where Jews had settled was India. Two Apostles are believed to have arrived in India for this purpose. St. Judas Thomas arrived in Kerala in south India and St. Bartholomew in western Maharashtra in west India.

Judaism is probably the oldest religion of non-Indian origin to arrive in India. Today there are also a few thousand Jews in India. Judaism and Christianity might have arrived in India before they reached Europe.

The different Jewish communities of India, Bene Israel, Cochini, Baghdadi and Bne Menashe claims their arrival in India in different ways and it is not always clear how they really came to India. The Bene Israel, which is the largest Jewish community of India, lived earlier in the villages of west Maharashtra. They are believed to exist in India for over 2000 years. The Cochini Jews in south India also claim that their first forefathers arrived in India over 2000 years ago during King Solomon's rule. The Bne Menashe of East India who claim to origin from the 'Lost Tribes' arrived much later in India. The Bne Menashes arrived in east India from China and Myanmar (Burma). In the late 18th century, Jews from Arab countries and Iran arrived in India because of religious persecutions in their countries. They were called collectively as Baghdadi Jews.

Two other religions that arrived in India because of religious persecutions in their countries were Zoroastrianism and Bahaism. Both of them arrived from Iran.

Languages

India is the home of many languages. India is a vast country with lot of cultural and geographical diversities. There are a number of languages spoken in India. Some of these languages are accepted nationally while others are accepted as dialects of that particular region. The foreign intrusions have left an impact on the Indian local languages. English language, the legacy of the British rule in India, became the commonly used official language of India.

The eighth schedule of the Indian constitution recognizes 22 languages. All these languages have evolved from the great language families drawn from history. The major ones to make an influence are the Aryan and the Dravidian. They have influenced each other and have, in turn, been influenced by the Austeric and Sino-Tibetan tongues.

The Indian Constitution (Article 343) declares Hindi to be the official language of the Union. Hindi is also the mother tongue of about 20% of the Indian population in the area known as the 'Hindi-belt' or the 'cow-belt' of northern India. This includes the states of Uttar Pradesh, Uttarakhand/Uttaranchal, Bihar, Madhya Pradesh, Chhatisgarh and Rajasthan. Haryana and Himachal Pradesh also have Hindi as their official language. Like the other languages of the north, Hindi is of Indo-Aryan origin. But in south India, it's quite a different scene altogether. The Dravidian languages bear little resemblance to their Indic or Indo-Aryan counterparts.

English enjoys a special status and remains the additional official language of India. It is the authoritative legislative and judicial language. In fact, one could say that English is the official language of India for all practical purposes.

Apart from the more widely spoken English and Hindi, there are the various regional languages. Each state has its own language which is generally its official language. The 8th schedule of the Constitution of India lists 22 such regional languages.
Languages Of India
AssameseA language of Assam that's spoken by nearly 60 percent of the State's population.
BengaliAn official language of West Bengal, now spoken by nearly 200 million people in West Bengal and in Bangladesh.
BodoAssam
DogriJammu and Kashmir
GujaratiIt is the official language of Gujarat. 70 percent of the State's population speak Gujrathi but it the most spread language not only in India but also abroad.
HindiThe official language of India, accent and dialect differs with different regions but almost every Indian has a working knowledge of Hindi. It is written in a Devanagiri script.
KannadaA language of Karnataka and is spoken by 65 percent of the state's population. It belongs to the Dravidian family.
KashmiriThough the language is mistaken as a state language of Kashmir only 55 per cent of the state's population speak Kashmiri.
KonkaniGoa, Karnataka, Maharashtra
MaithiliBihar
MalayalamThe state language of Kerala. It is the youngest of all developed languages in the Dravidian family.
Manipuri/MeiteiManipur
MarathiAn official language of Maharashtra. It has a fully developed literature of the modern type.
NepaliSikkim, West Bengal
OriyaA branch of the Indo-Aryan family, is the official language of the State of Orissa.
PunjabiThe official language of the State of Punjab. It is written in Gurmukhi script, created by the Sikh Guru, Angad.
SanskritThe classical language of India that has lost it's value in the modern world. It is also one of the oldest languages in the world- perhaps the oldest to be recorded. All the ancient scripts are found to be written in the same language.
SanthaliSanthal tribals of the Chota Nagpur Plateau (comprising the states of Bihar, Chattisgarh, Jharkhand, Orissa)
SindhiIs spoken by a great number of people in the Northwest frontier of the Indian sub-continent comprising parts of India and Pakistan.
TamilThe State language of Tamil Nadu. Tamil literature goes back to Centuries before the Christian era and is spoken by more than 73 million people. It belongs to the Dravidian language family.
TeluguA language of Andhra Pradesh. It is numerically the biggest linguistic unit in India.
UrduThe state language of Jammu and Kashmir and is spoken by more than 28 million people in India. Urdu and Hindi have proceeded from the same source. Urdu is written in the Persio - Arabic script and contains many words from the Persian language.


Literature

Indian literature is generally acknowledged as one of the oldest in the world. India has 22 officially recognized languages, and a huge variety of literature has been produced in these languages over the years. In Indian literature, oral and written forms are both important. Hindu literary traditions dominate a large part of Indian culture. Apart from the Vedas which are a sacred form of knowledge, there are other works such as the Hindu epics Ramayana and Mahabharata, treatises such as Vaastu Shastra in architecture and town planning, and Arthashastra in political science. Devotional Hindu drama, poetry and songs span the subcontinent. Among the best known are the works of Kalidasa (writer of the famed Sanskrit play Recognition of Shakuntala) and Tulsidas (who wrote an epic Hindi poem based on the Ramayana, called Raamcharitmaanas). Tamil poetry of the Sangam poetry which dates back to 1st century BCE is well renowned. Muslim literary traditions also dominate a large part of Indian culture. In the medieval period, during which time India was mostly under Muslim rule, Indian Muslim literature flourished, most notably in the Persian and Urdu poetry. Among contemporary Indian literature Bengali poet Rabindranath Tagore became India's first Nobel laureate. So far India's highest literary honor, the Jnanpith awards, has been conferred seven times upon Bengali writers, which is the highest for any language in India.

Monuments

India is blessed with number of world heritage monuments showcasing the breathtaking architecture and intricate work. Taj Mahal, a unique master-piece is the wonder in itself, an absolute epitome of Indian culture, heritage and civilization. Behind each monument is an underlying sense of mystery, intrigue and romance. Five thousand years of Indian History has given us the treasure of thousands of monuments across the country, monuments belonging to Hindus, Buddhists, Muslims and Christians.
Monuments in India forms a great heritage of India and they are evidence of India's historical past. These monuments reflects the culture and the heritage of yore days. The ancient culture of India is reflected in its historical monuments namely; forts, palaces, temples, monasteries, caves and tombs. These magnificent buildings were built by different rulers. Each ruler had left his indelible mark on the monuments that were built during his time. It is not very difficult to distinguish a monument built by the Mughals from that built by the British. Almost all regions in India can boast of some historical monument or fort.. A variety of architectural forms that have remained unchanged through the ages can be seen throughout India.

Some of the distinguished monuments of India are the the Taj Mahal, Qutub Minar, Red Fort, Konark temple, Agra Fort, Ajanta caves, Humayun's tomb and Fatehpur Sikri. The British had also incorporated some fine elements from Indian Islamic architecture into Neo-Classical styles. Among the prominent buildings created by them are Victoria Terminus (Mumbai), Victoria Memorial (Kolkata), Prince of Wales Museum (Mumbai) and many more Indo-Saracenic public buildings of that period.

Science and Mathematics in India

In all early civilizations, the first expression of mathematical understanding appears in the form of counting systems. Numbers in very early societies were typically represented by groups of lines, though later different numbers came to be assigned specific numeral names and symbols (as in India) or were designated by alphabetic letters (such as in Rome). Although today, we take our decimal system for granted, not all ancient civilizations based their numbers on a ten-base system. In ancient Babylon, a sexagesimal (base 60) system was in use.
The Decimal System in Harappa
In India a decimal system was already in place during the Harappan period, as indicated by an analysis of Harappan weights and measures. Weights corresponding to ratios of 0.05, 0.1, 0.2, 0.5, 1, 2, 5, 10, 20, 50, 100, 200, and 500 have been identified, as have scales with decimal divisions. A particularly notable characteristic of Harappan weights and measures is their remarkable accuracy. A bronze rod marked in units of 0.367 inches points to the degree of precision demanded in those times. Such scales were particularly important in ensuring proper implementation of town planning rules that required roads of fixed widths to run at right angles to each other, for drains to be constructed of precise measurements, and for homes to be constructed according to specified guidelines. The existence of a gradated system of accurately marked weights points to the development of trade and commerce in Harappan society.
Mathematical Activity in the Vedic Period
In the Vedic period, records of mathematical activity are mostly to be found in Vedic texts associated with ritual activities. However, as in many other early agricultural civilizations, the study of arithmetic and geometry was also impelled by secular considerations. Thus, to some extent early mathematical developments in India mirrored the developments in Egypt, Babylon and China . The system of land grants and agricultural tax assessments required accurate measurement of cultivated areas. As land was redistributed or consolidated, problems of mensuration came up that required solutions. In order to ensure that all cultivators had equivalent amounts of irrigated and non-irrigated lands and tracts of equivalent fertility - individual farmers in a village often had their holdings broken up in several parcels to ensure fairness. Since plots could not all be of the same shape - local administrators were required to convert rectangular plots or triangular plots to squares of equivalent sizes and so on. Tax assessments were based on fixed proportions of annual or seasonal crop incomes, but could be adjusted upwards or downwards based on a variety of factors. This meant that an understanding of geometry and arithmetic was virtually essential for revenue administrators. Mathematics was thus brought into the service of both the secular and the ritual domains.
Arithmetic operations (Ganit) such as addition, subtraction, multiplication, fractions, squares, cubes and roots are enumerated in the Narad Vishnu Purana attributed to Ved Vyas (pre-1000 BC). Examples of geometric knowledge (rekha-ganit) are to be found in the Sulva-Sutras of Baudhayana (800 BC) and Apasthmaba (600 BC) which describe techniques for the construction of ritual altars in use during the Vedic era. It is likely that these texts tapped geometric knowledge that may have been acquired much earlier, possibly in the Harappan period. Baudhayana's Sutra displays an understanding of basic geometric shapes and techniques of converting one geometric shape (such as a rectangle) to another of equivalent (or multiple, or fractional) area (such as a square). While some of the formulations are approximations, others are accurate and reveal a certain degree of practical ingenuity as well as some theoretical understanding of basic geometric principles. Modern methods of multiplication and addition probably emerged from the techniques described in the Sulva-Sutras.
Pythagoras - the Greek mathematician and philosopher who lived in the 6th C B.C was familiar with the Upanishads and learnt his basic geometry from the Sulva Sutras. An early statement of what is commonly known as the Pythagoras theorem is to be found in Baudhayana's Sutra: The chord which is stretched across the diagonal of a square produces an area of double the size. A similar observation pertaining to oblongs is also noted. His Sutra also contains geometric solutions of a linear equation in a single unknown. Examples of quadratic equations also appear. Apasthamba's sutra (an expansion of Baudhayana's with several original contributions) provides a value for the square root of 2 that is accurate to the fifth decimal place. Apasthamba also looked at the problems of squaring a circle, dividing a segment into seven equal parts, and a solution to the general linear equation. Jain texts from the 6th C BC such as the Surya Pragyapti describe ellipses.
Modern-day commentators are divided on how some of the results were generated. Some believe that these results came about through hit and trial - as rules of thumb, or as generalizations of observed examples. Others believe that once the scientific method came to be formalized in the Nyaya-Sutras - proofs for such results must have been provided, but these have either been lost or destroyed, or else were transmitted orally through the Gurukul system, and only the final results were tabulated in the texts. In any case, the study of Ganit i.e mathematics was given considerable importance in the Vedic period. The Vedang Jyotish (1000 BC) includes the statement: "Just as the feathers of a peacock and the jewel-stone of a snake are placed at the highest point of the body (at the forehead), similarly, the position of Ganit is the highest amongst all branches of the Vedas and the Shastras."
(Many centuries later, Jain mathematician from Mysore, Mahaviracharya further emphasized the importance of mathematics: "Whatever object exists in this moving and non-moving world, cannot be understood without the base of Ganit (i.e. mathematics)".)
Panini and Formal Scientific Notation
A particularly important development in the history of Indian science that was to have a profound impact on all mathematical treatises that followed was the pioneering work by Panini (6th C BC) in the field of Sanskrit grammar and linguistics. Besides expounding a comprehensive and scientific theory of phonetics, phonology and morphology, Panini provided formal production rules and definitions describing Sanskrit grammar in his treatise called Asthadhyayi. Basic elements such as vowels and consonants, parts of speech such as nouns and verbs were placed in classes. The construction of compound words and sentences was elaborated through ordered rules operating on underlying structures in a manner similar to formal language theory.
Today, Panini's constructions can also be seen as comparable to modern definitions of a mathematical function. G G Joseph, in The crest of the peacock argues that the algebraic nature of Indian mathematics arises as a consequence of the structure of the Sanskrit language. Ingerman in his paper titled Panini-Backus form finds Panini's notation to be equivalent in its power to that of Backus - inventor of the Backus Normal Form used to describe the syntax of modern computer languages. Thus Panini's work provided an example of a scientific notational model that could have propelled later mathematicians to use abstract notations in characterizing algebraic equations and presenting algebraic theorems and results in a scientific format.
Philosophy and Mathematics
Philosophical doctrines also had a profound influence on the development of mathematical concepts and formulations. Like the Upanishadic world view, space and time were considered limitless in Jain cosmology. This led to a deep interest in very large numbers and definitions of infinite numbers. Infinite numbers were created through recursive formulae, as in the Anuyoga Dwara Sutra. Jain mathematicians recognized five different types of infinities: infinite in one direction, in two directions, in area, infinite everywhere and perpetually infinite. Permutations and combinations are listed in the Bhagvati Sutras (3rd C BC) and Sathananga Sutra (2nd C BC).
Jain set theory probably arose in parallel with the Syadvada system of Jain epistemology in which reality was described in terms of pairs of truth conditions and state changes. The Anuyoga Dwara Sutra demonstrates an understanding of the law of indeces and uses it to develop the notion of logarithms. Terms like Ardh Aached , Trik Aached, and Chatur Aached are used to denote log base 2, log base 3 and log base 4 respectively. In Satkhandagama various sets are operated upon by logarithmic functions to base two, by squaring and extracting square roots, and by raising to finite or infinite powers. The operations are repeated to produce new sets. In other works the relation of the number of combinations to the coefficients occurring in the binomial expansion is noted.
Since Jain epistemology allowed for a degree of indeterminacy in describing reality, it probably helped in grappling with indeterminate equations and finding numerical approximations to irrational numbers.
Buddhist literature also demonstrates an awareness of indeterminate and infinite numbers. Buddhist mathematics was classified either as Garna (Simple Mathematics) or Sankhyan (Higher Mathematics). Numbers were deemed to be of three types: Sankheya (countable), Asankheya (uncountable) and Anant (infinite).
Philosophical formulations concerning Shunya - i.e. emptiness or the void may have facilitated in the introduction of the concept of zero. While the zero (bindu) as an empty place holder in the place-value numeral system appears much earlier, algebraic definitions of the zero and it's relationship to mathematical functions appear in the mathematical treatises of Brahmagupta in the 7th C AD. Although scholars are divided about how early the symbol for zero came to be used in numeric notation in India, (Ifrah arguing that the use of zero is already implied in Aryabhatta) tangible evidence for the use of the zero begins to proliferate towards the end of the Gupta period. Between the 7th C and the 11th C, Indian numerals developed into their modern form, and along with the symbols denoting various mathematical functions (such as plus, minus, square root etc) eventually became the foundation stones of modern mathematical notation.
The Indian Numeral System
Although the Chinese were also using a decimal based counting system, the Chinese lacked a formal notational system that had the abstraction and elegance of the Indian notational system, and it was the Indian notational system that reached the Western world through the Arabs and has now been accepted as universal. Several factors contributed to this development whose significance is perhaps best stated by French mathematician, Laplace: "The ingenious method of expressing every possible number using a set of ten symbols (each symbol having a place value and an absolute value) emerged in India. The idea seems so simple nowadays that its significance and profound importance is no longer appreciated. It's simplicity lies in the way it facilitated calculation and placed arithmetic foremost amongst useful inventions."
Brilliant as it was, this invention was no accident. In the Western world, the cumbersome roman numeral system posed as a major obstacle, and in China the pictorial script posed as a hindrance. But in India, almost everything was in place to favor such a development. There was already a long and established history in the use of decimal numbers, and philosophical and cosmological constructs encouraged a creative and expansive approach to number theory. Panini's studies in linguistic theory and formal language and the powerful role of symbolism and representational abstraction in art and architecture may have also provided an impetus, as might have the rationalist doctrines and the exacting epistemology of the Nyaya Sutras, and the innovative abstractions of the Syadavada and Buddhist schools of learning.
Influence of Trade and Commerce, Importance of Astronomy

The growth of trade and commerce, particularly lending and borrowing demanded an understanding of both simple and compound interest which probably stimulated the interest in arithmetic and geometric series. Brahmagupta's description of negative numbers as debts and positive numbers as fortunes points to a link between trade and mathematical study. Knowledge of astronomy - particularly knowledge of the tides and the stars was of great import to trading communities who crossed oceans or deserts at night. This is borne out by numerous references in the Jataka tales and several other folk-tales. The young person who wished to embark on a commercial venture was inevitably required to first gain some grounding in astronomy. This led to a proliferation of teachers of astronomy, who in turn received training at universities such as at Kusumpura (Bihar) or Ujjain (Central India) or at smaller local colleges or Gurukuls. This also led to the exchange of texts on astronomy and mathematics amongst scholars and the transmission of knowledge from one part of India to another. Virtually every Indian state produced great mathematicians who wrote commentaries on the works of other mathematicians (who may have lived and worked in a different part of India many centuries earlier). Sanskrit served as the common medium of scientific communication.
The science of astronomy was also spurred by the need to have accurate calendars and a better understanding of climate and rainfall patterns for timely sowing and choice of crops. At the same time, religion and astrology also played a role in creating an interest in astronomy and a negative fallout of this irrational influence was the rejection of scientific theories that were far ahead of their time. One of the greatest scientists of the Gupta period - Aryabhatta (born in 476 AD, Kusumpura, Bihar) provided a systematic treatment of the position of the planets in space. He correctly posited the axial rotation of the earth, and inferred correctly that the orbits of the planets were ellipses. He also correctly deduced that the moon and the planets shined by reflected sunlight and provided a valid explanation for the solar and lunar eclipses rejecting the superstitions and mythical belief systems surrounding the phenomenon. Although Bhaskar I (born Saurashtra, 6th C, and follower of the Asmaka school of science, Nizamabad, Andhra ) recognized his genius and the tremendous value of his scientific contributions, some later astronomers continued to believe in a static earth and rejected his rational explanations of the eclipses. But in spite of such setbacks, Aryabhatta had a profound influence on the astronomers and mathematicians who followed him, particularly on those from the Asmaka school.
Mathematics played a vital role in Aryabhatta's revolutionary understanding of the solar system. His calculations on pi, the circumferance of the earth (62832 miles) and the length of the solar year (within about 13 minutes of the modern calculation) were remarkably close approximations. In making such calculations, Aryabhatta had to solve several mathematical problems that had not been addressed before including problems in algebra (beej-ganit) and trigonometry (trikonmiti).
Bhaskar I continued where Aryabhatta left off, and discussed in further detail topics such as the longitudes of the planets; conjunctions of the planets with each other and with bright stars; risings and settings of the planets; and the lunar crescent. Again, these studies required still more advanced mathematics and Bhaskar I expanded on the trigonometric equations provided by Aryabhatta, and like Aryabhatta correctly assessed pi to be an irrational number. Amongst his most important contributions was his formula for calculating the sine function which was 99% accurate. He also did pioneering work on indeterminate equations and considered for the first time quadrilaterals with all the four sides unequal and none of the opposite sides parallel.
Another important astronomer/mathematician was Varahamira (6th C, Ujjain) who compiled previously written texts on astronomy and made important additions to Aryabhatta's trigonometric formulas. His works on permutations and combinations complemented what had been previously achieved by Jain mathematicians and provided a method of calculation of nCr that closely resembles the much more recent Pascal's Triangle. In the 7th century, Brahmagupta did important work in enumerating the basic principles of algebra. In addition to listing the algebraic properties of zero, he also listed the algebraic properties of negative numbers. His work on solutions to quadratic indeterminate equations anticipated the work of Euler and Lagrange.
Emergence of Calculus
In the course of developing a precise mapping of the lunar eclipse, Aryabhatta was obliged to introduce the concept of infinitesimals - i.e. tatkalika gati to designate the infinitesimal, or near instantaneous motion of the moon, and express it in the form of a basic differential equation. Aryabhatta's equations were elaborated on by Manjula (10th C) and Bhaskaracharya (12th C) who derived the differential of the sine function. Later mathematicians used their intuitive understanding of integration in deriving the areas of curved surfaces and the volumes enclosed by them.
Applied Mathematics, Solutions to Practical Problems
Developments also took place in applied mathematics such as in creation of trigonometric tables and measurement units. Yativrsabha's work Tiloyapannatti (6th C) gives various units for measuring distances and time and also describes the system of infinite time measures.
In the 9th C, Mahaviracharya ( Mysore) wrote Ganit Saar Sangraha where he described the currently used method of calculating the Least Common Multiple (LCM) of given numbers. He also derived formulae to calculate the area of an ellipse and a quadrilateral inscribed within a circle (something that had also been looked at by Brahmagupta) The solution of indeterminate equations also drew considerable interest in the 9th century, and several mathematicians contributed approximations and solutions to different types of indeterminate equations.
In the late 9th C, Sridhara (probably Bengal) provided mathematical formulae for a variety of practical problems involving ratios, barter, simple interest, mixtures, purchase and sale, rates of travel, wages, and filling of cisterns. Some of these examples involved fairly complicated solutions and his Patiganita is considered an advanced mathematical work. Sections of the book were also devoted to arithmetic and geometric progressions, including progressions with fractional numbers or terms, and formulas for the sum of certain finite series are provided. Mathematical investigation continued into the 10th C. Vijayanandi (of Benares, whose Karanatilaka was translated by Al-Beruni into Arabic) and Sripati of Maharashtra are amongst the prominent mathematicians of the century.
The leading light of 12th C Indian mathematics was Bhaskaracharya who came from a long-line of mathematicians and was head of the astronomical observatory at Ujjain. He left several important mathematical texts including the Lilavati and Bijaganita and the Siddhanta Shiromani, an astronomical text. He was the first to recognize that certain types of quadratic equations could have two solutions. His Chakrawaat method of solving indeterminate solutions preceded European solutions by several centuries, and in his Siddhanta Shiromani he postulated that the earth had a gravitational force, and broached the fields of infinitesimal calculation and integration. In the second part of this treatise, there are several chapters relating to the study of the sphere and it's properties and applications to geography, planetary mean motion, eccentric epicyclical model of the planets, first visibilities of the planets, the seasons, the lunar crescent etc. He also discussed astronomical instruments and spherical trigonometry. Of particular interest are his trigonometric equations: sin(a + b) = sin a cos b + cos a sin b; sin(a - b) = sin a cos b - cos a sin b;
The Spread of Indian Mathematics
The study of mathematics appears to slow down after the onslaught of the Islamic invasions and the conversion of colleges and universities to madrasahs. But this was also the time when Indian mathematical texts were increasingly being translated into Arabic and Persian. Although Arab scholars relied on a variety of sources including Babylonian, Syriac, Greek and some Chinese texts, Indian mathematical texts played a particularly important role. Scholars such as Ibn Tariq and Al-Fazari (8th C, Baghdad), Al-Kindi (9th C, Basra), Al-Khwarizmi (9th C. Khiva), Al-Qayarawani (9th C, Maghreb, author of Kitab fi al-hisab al-hindi), Al-Uqlidisi (10th C, Damascus, author of The book of Chapters in Indian Arithmetic), Ibn-Sina (Avicenna), Ibn al-Samh (Granada, 11th C, Spain), Al-Nasawi (Khurasan, 11th C, Persia), Al-Beruni (11th C, born Khiva, died Afghanistan), Al-Razi (Teheran), and Ibn-Al-Saffar (11th C, Cordoba) were amongst the many who based their own scientific texts on translations of Indian treatises. Records of the Indian origin of many proofs, concepts and formulations were obscured in the later centuries, but the enormous contributions of Indian mathematics was generously acknowledged by several important Arabic and Persian scholars, especially in Spain. Abbasid scholar Al-Gaheth wrote: "India is the source of knowledge, thought and insight." Al-Maoudi (956 AD) who travelled in Western India also wrote about the greatness of Indian science. Said Al-Andalusi, an 11th C Spanish scholar and court historian was amongst the most enthusiastic in his praise of Indian civilization, and specially remarked on Indian achievements in the sciences and in mathematics. Of course, eventually, Indian algebra and trigonometry reached Europe through a cycle of translations, traveling from the Arab world to Spain and Sicily, and eventually penetrating all of Europe. At the same time, Arabic and Persian translations of Greek and Egyptian scientific texts become more readily available in India.
The Kerala School
Although it appears that original work in mathematics ceased in much of Northern India after the Islamic conquests, Benaras survived as a center for mathematical study, and an important school of mathematics blossomed in Kerala. Madhava (14th C, Kochi) made important mathematical discoveries that would not be identified by European mathematicians till at least two centuries later. His series expansion of the cos and sine functions anticipated Newton by almost three centuries. Historians of mathematics, Rajagopal, Rangachari and Joseph considered his contributions instrumental in taking mathematics to the next stage, that of modern classical analysis. Nilkantha (15th C, Tirur, Kerala) extended and elaborated upon the results of Madhava while Jyesthadeva (16th C, Kerala) provided detailed proofs of the theorems and derivations of the rules contained in the works of Madhava and Nilkantha. It is also notable that Jyesthadeva's Yuktibhasa which contained commentaries on Nilkantha's Tantrasamgraha included elaborations on planetary theory later adopted by Tycho Brahe, and mathematics that anticipated work by later Europeans. Chitrabhanu (16th C, Kerala) gave integer solutions to twenty-one types of systems of two algebraic equations, using both algebraic and geometric methods in developing his results. Important discoveries by the Kerala mathematicians included the Newton-Gauss interpolation formula, the formula for the sum of an infinite series, and a series notation for pi. Charles Whish (1835, published in the Transactions of the Royal Asiatic Society of Great Britain and Ireland) was one of the first Westerners to recognize that the Kerala school had anticipated by almost 300 years many European developments in the field.
Yet, few modern compendiums on the history of mathematics have paid adequate attention to the often pioneering and revolutionary contributions of Indian mathematicians. A significant body of mathematical works were produced in the Indian subcontinent. The science of mathematics played a pivotal role not only in the industrial revolution but in the scientific developments that have occurred since. No other branch of science is complete without mathematics. Not only did India provide the financial capital for the industrial revolution India also provided vital elements of the scientific foundation without which humanity could not have entered this modern age of science and high technology.
Facts:
Mathematics and Music: Pingala (3rd C AD), author of Chandasutra explored the relationship between combinatorics and musical theory anticipating Mersenne (1588-1648) author of a classic on musical theory.
Mathematics and Architecture: Interest in arithmetic and geometric series may have also been stimulated by (and influenced) Indian architectural designs - (as in temple shikaras, gopurams and corbelled temple ceilings). Of course, the relationship between geometry and architectural decoration was developed to it's greatest heights by Central Asian, Persian, Turkish, Arab and Indian architects in a variety of monuments commissioned by the Islamic rulers.
Transmission of the Indian Numeral System: Evidence for the transmission of the Indian Numeral System to the West is provided by Joseph (Crest of the Peacock):-
  • Quotes Severus Sebokht (662) in a Syriac text describing the "subtle discoveries" of Indian astronomers as being "more ingenious than those of the Greeks and the Babylonians" and "their valuable methods of computation which surpass description" and then goes on to mention the use of nine numerals.
  • Quotes from Liber abaci (Book of the Abacus) by Fibonacci (1170-1250): The nine Indian numerals are ...with these nine and with the sign 0 which in Arabic is sifr, any desired number can be written. (Fibonaci learnt about Indian numerals from his Arab teachers in North Africa)
Influence of the Kerala School: Joseph (Crest of the Peacock) suggests that Indian mathematical manuscripts may have been brought to Europe by Jesuit priests such as Matteo Ricci who spent two years in Kochi (Cochin) after being ordained in Goa in 1580. Kochi is only 70km from Thrissur (Trichur) which was then the largest repository of astronomical documents. Whish and Hyne - two European mathematicians obtained their copies of works by the Kerala mathematicians from Thrissur, and it is not inconceivable that Jesuit monks may have also taken copies to Pisa (where Galileo, Cavalieri and Wallis spent time), or Padau (where James Gregory studied) or Paris (where Mersenne who was in touch with Fermat and Pascal, acted as an agent for the transmission of mathematical ideas).
Upanishadic philosophy: preparing the ground for rationalism
Although the Upanishadic texts (like some of the earlier Vedic texts) are primarily concerned with acquiring knowledge of the "soul", "spirit" and "god" - there are aspects of Vedic and Upanishadic literature that also point to an intuitive understanding of nature and natural processes. In addition, many of the ideas are presented in a philosophical and exploratory manner - rather than as strict definitions of inviolable truth.
Although the Upanishadic texts goaded the Upanishadic student to concentrate on comprehending the inner spirit,  rational investigation of the world by other scholars was not entirely squelched, and eventually, the Upanishadic period gave way to an era which was not  inimical to the development of rational ideas, even encouraging scientific observation and advanced study in the fields of  logic, mathematics and the physical sciences. 
Following an era when rituals and superstitions had begun to proliferate, in some ways the Upanishadic texts helped to clear the ground for greater rationalism in society. Brahmin orthodoxy and ideas of ritual purity were superseded by a spiritual perspective that eschewed sectarianism and could be practised universally, unfettered by an individual's social standing. Much of the emphasis was on discovering "spiritual truths" for oneself as opposed to mechanically accepting the testimony of established religious leaders. Although there is a thematic commonality to the Upanishadic discourses, different  commentators offered subtly varying  perspectives and insights.
The concept of god in Upanishadic (and even earlier Vedic) thinking was quite different from the more common definition of god as creator and dispenser of reward and punishment. The Upanishadic concept of god was more abstract and philosophical. Different texts postulated the doctrine of a universal soul  that embraced all physical beings. All life emanated from this universal soul and death simply caused individual manifestations of the soul to merge or mingle back with the universal soul. The concept of a universal soul was illustrated through analogies from natural phenomenon.
"As the bees make honey by collecting the juices of distant trees, and reduce the juice into one form. And as these juices have no discrimination, so that they might say, I am the juice of this tree or that, in the same manner, all these creatures, when they have become merged in the True, know not that they are merged in the True. . . ."
"These rivers run, the eastern (like the Ganges) towards the east, the western (like the Indus) towards the west. They go from sea to sea (i.e., the clouds lift up the water from the sea to the sky and send it back as rain to the sea). They become indeed sea. And as those rivers, when they are in the sea, do not know, I am this or that river, in the same manner, all these creatures, proceeding from the True, know not that they have proceeded from the True. . . ."
In another story, the "wise" father, expounder of the Upanishadic concept of god, asks his son to dissolve salt in water, and asked him to taste it from the surface, from the middle and from the bottom. In each case, the son finds the taste to be salty. To this his father replies that the 'universal being' though invisible resides in all of us, just as the salt, though invisible is completely dissolved in the water. (Chanddogya, VI)
As a corollary to this theory emerged the notion that even as individual beings might refer to this universal soul - i.e. god in varied ways - by using different names and different methods of worship - all living beings were nevertheless related to each other and to the universal god, and capable of merging with the universal god. This approach thus laid the foundation for egalitarian and non-discriminatory philosophies such as Buddhism and Jainism (as well as non-sectarian streams of Hinduism) that followed the Upanishadic period. As is evident, such an approach  was not incompatible with secular society, and permitted different faiths and sub-faiths to coexist in relative peace and harmony.
In the course of defining their philosophy, the scholars of the Upanishad period raised several questions that challenged mechanical theism (as was also done in some hymns from the Rig Veda and Atharva Veda). If god existed as the unique creator of the world, they wondered who created this unique creator. The logical pursuit of such a line of questioning could either lead to an infinite series of creators, or to the rejection or abandonment of this line of questioning. The common theist solution to this philosophical dilemma was to simply reject logic and demand unquestioning faith on the part of the believer. A few theists attempted to use this contradiction to their own advantage by positing that god existed precisely because "He" was indescribable by mere mortals. But, by and large, this contradiction was taken very seriously by the philosophers of the Upanishadic period. The Upanishadic philosophers attempted to resolve this contradiction by defining god as an entity that extended infinitely in all dimensions covering both space and time. This was a philosophical advance in that it attempted to come to terms with at least the most obvious challenges to the notion of god as a human-like creator and did not require the complete rejection of logic.
Another philosophical advance of the Upanishadic period was that religion was transformed from the realm of bookish parroting of scriptures to the realm of advanced intellectual debate and polemics. The Upanishadic philosophers did not lay down their conclusions as rigid doctrines or inviolable laws but as seductive parables - sometimes displaying remarkable worldly insight and analytical skill. By attempting to win over their followers through analogies from nature, and by employing the methods of abstract reasoning and debate, they created an environment where dialectical thinking and intellectual exchanges could later flourish.
In the very process of their questioning, (and albeit speculative reasoning about god), they had opened the door for rationalists and even outright atheists who took their tentative questioning about the role and the character of god as "creator" to conclusions that rejected theism entirely. But in either case, many rationalist and/or naturalist philosophical streams emerged from this initial foundation. Some were nominally theistic (but in the abstract Upanishadic vein), others were agnostic (as the early Jains), while the early Buddhists and the Lokayatas were atheists. Thus even though the Upanishads contained much that should rightly be dismissed as abstruse intellectual jugglery and philosophical mumbo-jumbo, the Upanishadic philosophers had levelled the ground for the seeds of rationalism to flourish in Indian soil.
The Vaisheshika School
The Vaisheshika school (considered to be founded by Kanada, author of the Vaisesika Sutra) was an early realistic school whose main achievement lay in it's attempt at classifying nature into like and unlike groups. It also posited that all matter was made up of tiny and indestructible particles - i.e. atoms that aggregated in different ways to form new compounds that formed the variety of matter that existed on the earth.
Their philosophy was described through the enumeration of the following concepts:Dravya (Substance), Guna (Quality), Karma (Action), Samanya (Generality),Visesa (Particularity), Samavaya (Inherence) and abhava (non-existence).
Dravya (or substance) was understood as the specific result of a particular aggregate effect - i.e. the combination of atoms in a unique way. Substances were repositories for qualities and actions. Guna or quality was that which resided in a dravya. Qualities did not however contain qualities themselves. 24 qualities were enumerated, such as - color, form, smell, touch, sound, number, magnitude, distinctions, conjunction, disjunction, nearness, remoteness, heaviness, fluidity and viscosity. (As was typical of the times, psychological attributes such as pleasure, pain, desire, aversion, effort, tendency, cognition, impression, and ethical attributes such as merit and demerit were also included in the list, i.e. - qualities that were inapplicable to inanimate objects were not treated separately)
Action or Karma represented physical movement. Unlike quality which was passive,Karma was dynamic. Action was the determinant of conjuction and disjunction. Five types of action were noted: throwing upwards or downwards, contraction, expansion and locomotion.
Satta or physical existence was viewed as being the common attribute of substance, quality and action - i.e. only existing (as opposed to imaginary) entities could have substance, qualities and be capable of action.
Samanyata or 'generality' was seen as a mental construct to create common classes of substances, qualities or actions while Visesata (particularity) was used to identify and separate individual items from their general classes. Samavaya or inherence was a relation that existed in those things that could not be separated without destroying them.
Four categories of Abhava as negation or non-existance were listed: pragabhava or prior non-existance, referring to the absence of an object before it's creation;dhvamsabhava or posterior negation, as the absence of an object after it had been destroyed; anyonyabhava or mutual non-existance, refering to an object being distinct and different from the other; atyantabhava or absolute non-existence, indicating non-existence in the past, present and future, citing the example of air as permanently lacking in smell - (which was presumably true in a period where air pollution must have been uncommon!).
An important contribution of the Vaisheshika school was a careful study of the time-relation in a chain of causes and effects. In a very rudimentary way, the school (along with other such schools) anticipated the theory of time calculus which could also be extended to space calculus.
The Vaisheshika school thus served as an important step in the study of science by enumerating concepts that could further the study of physics and chemistry. In addition, the the study of medical science (including veterinary science) received considerable impetus from such attempts at methodical observation and classification.
The Nyaya and related schools
The Nyaya schools complemented and built on the Vaisheshika school by elaborating on the process of accumulating valid scientific knowledge through accurate perception and generating valid inferences.
The school articulated four means of acquiring valid knowledge: pratyaksha or perception through one of the senses; anumana or inference; upamana or comparison with a well-known object; or shabda - verbal testimony.
The conditions of perception, and it's range and limits were carefully studied.Trasarenu - the minima sensibile (i.e. the minimum visible), anubhuta-rupa - the infra-sensible, abhibhuta - the obscured perception , and anubhuta-vriti - potential perception, were recognized as different types of perception.
A general methodology of ascertaining the truth (tattva) was described which consisted of describing a proposition (uddesa), the ascertainment of essential facts obtained through perception, inference or induction (laksan or uppa-laksana), and finally examination and verification (pariksa and nirnaya). This process could involve examples (drishtanta), logical arguments (avayava), reasoning (tarka) anddiscussion (vada) - , intellectual exchange, or interplay of two opposing sides in the process of arriving at a decisive conclusion. A successful application of this method could result in a siddhanta - i.e. established principle - (or in the case of mathematics - a theorem or theory) elucidated through proofs (pramana). Alternatively, it could lead to a rejection of the initial proposition.
The Nyaya school identified various types of arguments that hindered or obstructed the path of genuine scientific pursuit, suggesting perhaps, that there may have been considerable practical resistance to their unstinting devotion to truth-seeking and scientific accuracy. They list the term jalpa - an argument not for the sake of arriving at the truth but for the sake of seeking victory (this term was coined perhaps to distinguish exaggerated and rhetorical arguments, or hyperbole from genuine arguments); vitanda (or cavil) to identify arguments that were specious or frivolous, or intended to divert attention from the substance of the debate, that were put-downs intended to lower the dignity or credibility of the opponent; and chal - equivocation or ruse to confuse the argument. Three types of chal are listed: vakchala - or verbal equivocation where the words of the opponent are deliberately misused to mean or suggest something different than what was intended; samanyachala or false generalization, where the opponents arguments are deliberately and incorrectly generalized in a way to suggest that the original arguments were ridiculous or absurd;uparachala - misinterpreting a word which is used figuratively by taking it literally. Also mentioned is jati, a type of fallacious argument where an inapplicable similiarity is cited to reject an argument, or conversely an irrelevant dissimiliarity is cited to reject an argument.
The Nyaya school also recognized that intelligent and meaningful debates were not possible if certain fundamental principles and basic definitions and concepts were not mutually accepted. Nigrahasthana was the term used to identify disagreements based on absence of mutually acceptable first principles. An example might be a debate between a theist who rejected logic, and a non-theist who rejected faith.
The Nyaya school also listed five classes of logical fallacies (hetvabhasa) :savyabhichara or the inconclusive type which employed reasoning from which more than one conclusion could be drawn but was used to insist on a single specific conclusion; viruddha or contradictory, where the reasoning used actually contradicted the proposition to be established; kalatita - where the elapse of time had made the argument invalid; sadhyasama, the unproven type, where the reasoning employed rested on arguments or principles that had not been proven and require proofs themselves - i.e. this was the type of fallacy where one unproven result was merely converted into another unproven result.; and finally prakaranasama - where the reasoning employed provoked the very question it was designed to answer - i.e. a recursive fallacy.
In this manner, the Nyaya school defined a very sophisticated school of rational philosophy where the process of scientific epistemology was analyzed threadbare and all the dangers of unscientific reasoning and propaganda ploys were skillfully exposed.
Causality
Buddhist and Jain scholars, as well as later Hindu scholars offered their own approaches to scientific reasoning. Virtually all the rational schools were concerned with describing causality and causal relationships, and recognized that effects may not have single causes but may require a group or conjunction of causes to occur. Buddhist scholars emphasized that cause and effect need not have a linear effect but that desired effects may also require the right conditions for their fruition. (That is to say that for a plant to grow successfully, it would not only need the right seed, but that it would also need the right type of soil, fertilization, sunlight and water.) 
Both the Jains and the Buddhists correctly speculated that a potential for the desired effect must also be present in the cause or causal agent. (For instance, only a mango seed could produce a mango tree because only the mango seed incorporated  the potential of developing into a mango tree.) As another example, one could note that  something with  brittle properties such as glass might break upon impact whereas something strong such as steel would survive. Thus a physical impact on substances of different properties would have different results.  
The Nyaya school also recognized co-effects - i.e a series of antecedants could cause a series of effects - either successive and staggered in time, or near simultaneous. Nyaya texts on causality indicate that there was an awareness that light travelled at a very high speed but the transmission of light was not instantaneous.
Buddhist and Jain Atomic Theories
The Buddhist and Jain philosophers also proposed their own variations of the atomic theory. Like the Vaisheshikas, atoms were perceived as infinitely small by the Jainas. But the Jainas went a step further by positing that the union of atoms required opposite qualities in the combining atoms - as is true in the case of electrovalent bonding. However, they erred in thinking that covalent bonding (which does not require opposite polarities in the combining atoms) could not occur. But their intuition that opposite polarities created mutual attraction and facilitated chemical reactions was correct. In the Buddhist view, matter was in fact an aggregate of rapidly recurring forces or energy waves. Their theory was illustrated with examples drawn from natural phenomenon involved with light emission. An atom was perceived as a momentary flash of light combining and separating from other atoms according to strict and definite laws of causality. Physical matter was thus seen as a denser and more concentrated form of light. Although at odds with other atomic theories of the time, their approach fit in with their general view that all things in nature were temporal, that there was constant change in nature - that degradation and renewal were continuous processes.
The Syadvada system of Jain Logic
Jain philosophers also made certain important contributions to the science of epistemology by proposing that the truth of a concept or observation could not only be true or false but indeterminate - and combinations of the above - such as true under some conditions (or true at a particular time or place - or true based on the validity of certain inferences) and false under other conditions, or true under some conditions but indeterminate under others, and so on. This led to a matrix of seven possible states of the truth (true, false, true or false, indeterminate, true or indeterminate, false or indeterminate, true or false or indeterminate). 
Jaina rationalists also studied the relationship between the universal and the particular and made important points concerning generalities and individual peculiarities. They also noted that  objects in the real world exist in a network of relationships with each other - and have specific attributes that mark them temporally and spatially:  "Every real is thus hedged round by a network of relations and attributes, which we propose to call its system or context or universe of discourse, which demarcates it from others." Jaina philosophers also successfully synthesized earlier debates on change and permanence by positing that all objects (or parts of objects) passed through phases of  "existence, persistence, and cessation" and that reality was therefore a complex combination of things relatively permanent yet also relatively changing. 
These ideas thus formed the foundations of Indian science and contributed to the gradual elaboration of mathematics and astronomy, as well as agricultural and meteorological sciences. Developments in metallurgy and civil engineering also followed. Medicine and surgery perhaps received the greatest and the earliest impetus from these developments. Developments in philosophy also led to concomitant developments in the realm of art and culture. 
Yet. to a considerable extent, knowledge about the progress of science and reason in Indian history is often scarce.  These (and other such) historical contributions were either denied or demeaned during the process of colonization, and are only now beginning to be re-acknowledged within India and abroad. But in A. D 1068, Indian contributions to the mainstream of science were held in great esteem and readily acknowledged in some parts of the world:
Here is what Said Al-Andalusi, an 11th C Spanish scholar, court historian and chronicler wrote then: "Among the nations, during the course of centuries and throughout the passage of time, India was known as the mine of wisdom and the fountainhead of justice and good government and the Indians were credited with excellent intellects, exalted ideas, universal maxims, rare inventions and wonderful talents ... They have studied arithmetic and geometry. They have also acquired copious and abundant knowledge of the movements of the stars, the secrets of the celestial sphere and all other kinds of mathematical sciences. Moreover, of all the peoples they are the most learned in the science of medicine and thoroughly informed about the properties of drugs, the nature of composite elements and peculiarities of the existing things."


 
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