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Mathematical Achievements of Pre-modern Indian Mathematicians

2012-10-22 Mathematics
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Release : 2012-10-22
Genre : Mathematics
Kind : eBook
Book Rating : 382/5 ( reviews)

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Book Synopsis Mathematical Achievements of Pre-modern Indian Mathematicians by : T.K Puttaswamy

Download or read book Mathematical Achievements of Pre-modern Indian Mathematicians written by T.K Puttaswamy. This book was released on 2012-10-22. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics in India has a long and impressive history. Presented in chronological order, this book discusses mathematical contributions of Pre-Modern Indian Mathematicians from the Vedic period (800 B.C.) to the 17th Century of the Christian era. These contributions range across the fields of Algebra, Geometry and Trigonometry. The book presents the discussions in a chronological order, covering all the contributions of one Pre-Modern Indian Mathematician to the next. It begins with an overview and summary of previous work done on this subject before exploring specific contributions in exemplary technical detail. This book provides a comprehensive examination of pre-Modern Indian mathematical contributions that will be valuable to mathematicians and mathematical historians. Contains more than 160 original Sanskrit verses with English translations giving historical context to the contributions Presents the various proofs step by step to help readers understand Uses modern, current notations and symbols to develop the calculations and proofs

Contributions to the History of Indian Mathematics

2005-10-15 Mathematics
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Release : 2005-10-15
Genre : Mathematics
Kind : eBook
Book Rating : 258/5 ( reviews)

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Book Synopsis Contributions to the History of Indian Mathematics by : Gerard G. Emch

Download or read book Contributions to the History of Indian Mathematics written by Gerard G. Emch. This book was released on 2005-10-15. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of articles based on lectures given by scholars from India, Europe and USA at the sessions on 'History of Indian Mathematics' at the AMS-India mathematics conference in Bangalore during December 2003. These articles cover a wide spectrum of themes in Indian mathematics. They begin with the mathematics of the ancient period dealing with Vedic Prosody and Buddhist Logic, move on to the work of Brahmagupta, of Bhaskara, and that of the mathematicians of the Kerala school of the classical and medieval period, and end with the work of Ramanaujan, and Indian contributions to Quantum Statistics during the modern era. The volume should be of value to those interested in the history of mathematics.

Ancient Indian Leaps into Mathematics

2011-01-20 Mathematics
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Release : 2011-01-20
Genre : Mathematics
Kind : eBook
Book Rating : 957/5 ( reviews)

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Book Synopsis Ancient Indian Leaps into Mathematics by : B.S. Yadav

Download or read book Ancient Indian Leaps into Mathematics written by B.S. Yadav. This book was released on 2011-01-20. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions of mathematicians covering topics from ancient India, placing them in the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available in the literature, Indian contributions are rarely presented in major Western historical works. Yet some of the well-known and universally-accepted discoveries from India, including the concept of zero and the decimal representation of numbers, have made lasting contributions to the foundation of modern mathematics. Through a systematic approach, this book examines these ancient mathematical ideas that were spread throughout India, China, the Islamic world, and Western Europe.

Mathematics in India

2009-01-18 History
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Release : 2009-01-18
Genre : History
Kind : eBook
Book Rating : 676/5 ( reviews)

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Book Synopsis Mathematics in India by : Kim Plofker

Download or read book Mathematics in India written by Kim Plofker. This book was released on 2009-01-18. Available in PDF, EPUB and Kindle. Book excerpt: Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the Indian origin of Arabic numerals--and she sets them in a larger textual and cultural framework. The book details aspects of the subject that have been largely passed over in the past, including the relationships between Indian mathematics and astronomy, and their cross-fertilizations with Islamic scientific traditions. Plofker shows that Indian mathematics appears not as a disconnected set of discoveries, but as a lively, diverse, yet strongly unified discipline, intimately linked to other Indian forms of learning. Far more than in other areas of the history of mathematics, the literature on Indian mathematics reveals huge discrepancies between what researchers generally agree on and what general readers pick up from popular ideas. This book explains with candor the chief controversies causing these discrepancies--both the flaws in many popular claims, and the uncertainties underlying many scholarly conclusions. Supplementing the main narrative are biographical resources for dozens of Indian mathematicians; a guide to key features of Sanskrit for the non-Indologist; and illustrations of manuscripts, inscriptions, and artifacts. Mathematics in India provides a rich and complex understanding of the Indian mathematical tradition. **Author's note: The concept of "computational positivism" in Indian mathematical science, mentioned on p. 120, is due to Prof. Roddam Narasimha and is explored in more detail in some of his works, including "The Indian half of Needham's question: some thoughts on axioms, models, algorithms, and computational positivism" (Interdisciplinary Science Reviews 28, 2003, 1-13).

Ancient Indian Leaps into Mathematics

2010-10-28 Mathematics
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Release : 2010-10-28
Genre : Mathematics
Kind : eBook
Book Rating : 943/5 ( reviews)

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Book Synopsis Ancient Indian Leaps into Mathematics by : B.S. Yadav

Download or read book Ancient Indian Leaps into Mathematics written by B.S. Yadav. This book was released on 2010-10-28. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions of mathematicians covering topics from ancient India, placing them in the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available in the literature, Indian contributions are rarely presented in major Western historical works. Yet some of the well-known and universally-accepted discoveries from India, including the concept of zero and the decimal representation of numbers, have made lasting contributions to the foundation of modern mathematics. Through a systematic approach, this book examines these ancient mathematical ideas that were spread throughout India, China, the Islamic world, and Western Europe.

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