mathematics in india

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Mathematics In India

Author : Kim Plofker
ISBN : 0691120676
Genre : History
File Size : 24. 13 MB
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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).

The Mathematics Of Egypt Mesopotamia China India And Islam

Author : Victor J. Katz
ISBN : 0691114854
Genre : Mathematics
File Size : 34. 6 MB
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In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics. The five section authors--Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam)--are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text. Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroom.

Mathematical Achievements Of Pre Modern Indian Mathematicians

Author : T. K. Puttaswamy
ISBN : 9780123979131
Genre : Mathematics
File Size : 41. 78 MB
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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

Indian Mathematics

Author : George Gheverghese Joseph
ISBN : 9781786340634
Genre : Mathematics
File Size : 83. 95 MB
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Indian Mathematics gives a unique insight into the history of mathematics within a historical global context. It builds on research into the connection between mathematics and the world-wide advancement of economics and technology. Joseph draws out parallel developments in other cultures and carefully examines the transmission of mathematical ideas across geographical and cultural borders. Accessible to those who have an interest in the global history of mathematical ideas, for the historians, philosophers and sociologists of mathematics, it is a book not to be missed.

The History Of Mathematics And Mathematicians Of India

Author : Venugopal D. Heroor
ISBN : CORNELL:31924105445443
Genre : Education
File Size : 22. 84 MB
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Rev. and enl. version of author's Kannada book "Bhāratīya gaṇita śāstrada hagū śāstrajñara carite."

Studies In The History Of Indian Mathematics

Author : C. S. Seshadri
ISBN : 9380250061
Genre : History
File Size : 20. 83 MB
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This volume is the outcome of a Seminar on History of Mathematics held at the Chennai Mathematical Institute during January-February, 2008, and contains articles based on talks by distinguished scholars both from the West and from India. The topics covered include: Geometry in the Sulvasutras; Origins of zero (which can be traced to ideas of lopa in Panini's grammar); Combinatorial methods in Indian Music (which were developed in the context of prosody and subsequently applied to the study of tonal and rhythmic patterns in music); Cross-cultural view of the development of negative numbers (from Brahmagupta (c.628 CE) to John Wallis (1685 CE)); Kuttaka, Bhavana and Cakravala (the techniques developed by Indian mathematicians for the solution of indeterminate equations); Development of calculus in India (covering the millennium long history of discoveries culminating in the work of the Kerala School giving a complete analysis of the basic calculus of polynomial and trigonometric functions); Recursive methods in Indian Mathematics (going back to Panini's grammar and culminating in the recursive proofs found in the Malayalam Text Yuktibhasa (1530 CE)); and Planetary and Lunar models developed by the Kerala School of Astronomy. These articles in their totality cover a substantial portion of the History of Indian Mathematics and Astronomy. This book would serve the dual purpose of bringing to the international community a better perspective of the mathematical heritage of India, and at the same time convey the message that much work yet remains to be done, namely the study of many unexplored manuscripts still available in libraries in India and abroad.

Ancient Indian Leaps Into Mathematics

Author : B.S. Yadav
ISBN : 0817646957
Genre : Mathematics
File Size : 21. 14 MB
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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 Meeting The Challenge

Author :
ISBN : UOM:39015061014174
Genre : Mathematics
File Size : 78. 60 MB
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Indian Mathematics An Introduction

Author : Ashok Jhunjhunwala
ISBN : 8122405738
Genre : Mathematics
File Size : 41. 57 MB
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This Book Taps The Mathematical Traditions Of India For Some Simple And Elegant Methods Of Performing Arithmetic Calculations. There Are Techniques For Multiplication, Division, Squaring, Square-Rooting And Factorisation That, Once Mastered, Are Faster Than The Conventional Approaches Currently In Wide Use. Errors Arising Out Of Carelessness In Calculation Were Apparently A Problem Faced By Our Ancestors Too! They Devised An Amazingly Simple Technique To Catch Such Errors. These Techniques Are Presented In This Book In A Lucid Manner, With A Large Number Of Examples To Illustrate The Basic Ideas And Elaborate On Their Variations. The Use Of Sanskrit Terms Has Been Minimised. Most Of The Methods Described Are General And Work For All Numbers, Not Just For Special Cases. The Mixed-Number, Or Mishrank, Which Contains Both Positive And Negative Digits, Is Extremely Useful In Simplifying Calculations And Is Widely Used In This Book. The Reader Will Find That Ideas Such As These Can Be Effectively Grafted To The Conventional Methods.The Book Will Interest A Wide Audience. Students Will Benefit The Most, Since They Can Easily Make The Methods Of This Book Their Own. They Will Soon Find That Much Of Their Arithmetic Can Be Performed Orally. Adults Will Find It A Pleasure To Discover New And Elegant Ways Of Doing Things They Already Know. The Computer Enthusiast May Find Hidden In The Simple Methods Ideas To Speed-Up Machine Computation. Finally, The Mathematically-Inclined May Find Their Curiosity Sufficiently Aroused To Go Beyond This Book And Delve Deeper Into The Indian Mathematical Legacy.

Contributions To The History Of Indian Mathematics

Author : Gérard G. Emch
ISBN : 8185931585
Genre : Mathematics
File Size : 23. 36 MB
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Contributed articles presented at the AMS-India Mathematics Conference, held at Bangalore in December 2003.

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