A Modern Introduction to Ancient Indian Mathematics

ANCIENT INDIAN MATHEMATICS The purpose of this book is to draw the attention of students and teachers of mathematics to the historical continuity of Indian Mathematics , starting from the Sulba Sutras of the Vedas up to the 17th century ...

Author: T. S. Bhanu Murthy

Publisher: New Age International

ISBN: 8122403719

Category: Hindu mathematics

Page: 214

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The Purpose Of This Book Is To Draw The Attention Of Students And Teachers Of Mathematics To The Historical Continuity Of Indian Mathematics, Starting From The Sulba Sutras Of The Vedas Up To The 17Th Century. The Book Includes Proofs, Not Presented So Far, Of The Propositions Stated In The Well-Known Treatise Vedic Mathematics By Sri Bharati Krishna Teertha. It Also Introduces To The Modern Reader The Work Of Aryabhata, Brahmagupta, Bhaskara And Madhava.

Contributions to the History of Indian Mathematics

Mathematics Several books have been written on the history of Indian tradition in mathematics." In addition, many books on history of mathematics devote a section, sometimes even a chapter, to the discussion of Indian mathematics.

Author: Gerard G. Emch

Publisher: Springer

ISBN: 9789386279255

Category: Mathematics

Page: 296

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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.

Studies in the History of Indian Mathematics

[Shaj R.S. Sharma (ed), Brahma Sphuta Siddhanta of Brahmagupta, Indian Institute of Astronomical Research (1966). [Shull K.S. Shukla, Acarya Jayadeva, The Mathematician, Ganita 5 (1954), p 1–20. [Shu2] K.S. Shukla (ed), Mahā-Bhāskariya, ...

Author: C. S. Seshadri

Publisher: Springer

ISBN: 9789386279491

Category: Mathematics

Page: 404

View: 767

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This volume is the outcome of a seminar on the history of mathematics held at the Chennai Mathematical Institute during January-February 2008 and contains articles based on the talks of distinguished scholars both from the West and from India. The topics covered include: (1) geometry in the oulvasatras; (2) the origins of zero (which can be traced to ideas of lopa in Paoini's grammar); (3) 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); (4) a cross-cultural view of the development of negative numbers (from Brahmagupta (c. 628 CE) to John Wallis (1685 CE); (5) Kunnaka, Bhavana and Cakravala (the techniques developed by Indian mathematicians for the solution of indeterminate equations); (6) the 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 trigonometrical functions); (7) recursive methods in Indian mathematics (going back to Paoini's grammar and culminating in the recursive proofs found in the Malayalam text Yuktibhaua (1530 CE)); and (8) planetary and lunar models developed by the Kerala School of Astronomy. The articles in this volume cover a substantial portion of the history of Indian mathematics and astronomy. This book will serve the dual purpose of bringing to the international community a better perspective of the mathematical heritage of India and conveying the message that much work remains to be done, namely the study of many unexplored manuscripts still available in libraries in India and abroad.

Indian Mathematics

survey of the history of Indian mathematics and its contacts with the outside world is contained in Chapter 2. The next six chapters are more mathematical, beginning with Aryabhata I (b. 476 CE). The last two chapters culminate with the ...

Author: George Gheverghese Joseph

Publisher: World Scientific

ISBN: 9781786340634

Category: Mathematics

Page: 512

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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.

Indian Mathematics an Introduction

INDIAN. MATHEMATICS. An. Introduction. 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 ...

Author: Ashok Jhunjhunwala

Publisher: New Age International

ISBN: 8122405738

Category: Mathematics

Page: 108

View: 568

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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.

Studies in Indian Mathematics and Astronomy

From the very early years, he was a brilliant student of Mathematics and Sanskrit. He passed the High School ... The History of Hindu Mathematics, Part II, by Datta and Singh, was published in 1938 from Lahore (then in India).

Author: Aditya Kolachana

Publisher: Springer

ISBN: 9789811373268

Category: Mathematics

Page: 742

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This volume presents a collection of some of the seminal articles of Professor K. S. Shukla who made immense contributions to our understanding of the history and development of mathematics and astronomy in India. It consists of six parts: Part I constitutes introductory articles which give an overview of the life and work of Prof. Shukla, including details of his publications, reminiscences from his former students, and an analysis of his monumental contributions. Part II is a collection of important articles penned by Prof. Shukla related to various aspects of Indian mathematics. Part III consists of articles by Bibhutibhusan Datta and Avadhesh Narayan Singh—which together constitute the third unpublished part of their History of Hindu Mathematics—that were revised and updated by Prof. Shukla. Parts IV and V consist of a number of important articles of Prof. Shukla on different aspects of Indian astronomy. Part VI includes some important reviews authored by him and a few reviews of his work. Given the sheer range and depth of Prof. Shukla’s scholarship, this volume is essential reading for scholars seeking to deepen their understanding of the rich and varied contributions made by Indian mathematicians and astronomers.

Indian Mathematics and Astronomy

Some Landmarks This book is mainly addressed to the student community to provide an introduction to the development of mathematics and astronomy in India over the past three thousand years or more . The significant contribution of the ...

Author: S. Balachandra Rao

Publisher:

ISBN: UOM:39015052255620

Category: Astronomie

Page: 261

View: 139

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Ancient Indian Leaps into Mathematics

Despite the availability of some Sanskrit mathematical texts in English, it still took many years before Indian contributions to the world of mathematics were recognized in major European historical works. Of course, European scholars ...

Author: B.S. Yadav

Publisher: Springer Science & Business Media

ISBN: 9780817646950

Category: Mathematics

Page: 218

View: 358

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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.

Mathematical Achievements of Pre modern Indian Mathematicians

Second order interpolation in Indian mathematics up to the fifteenth century AD. Indian J Hist Sci 1969;4(1–2):86À98. Gupta RC, Danben JW, Scriba CJ, editors. Writing the history of mathematics: its historical development.

Author: T. K. Puttaswamy

Publisher: Newnes

ISBN: 9780123979131

Category: Mathematics

Page: 743

View: 356

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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

The Mathematics of Egypt Mesopotamia China India and Islam

The knowledge in the West of Indian mathematics occurred much earlier than that of Chinese mathematics , in part because the British ruled much of India from the eighteenth century on . For example , Henry Thomas Colebrooke collected ...

Author: Victor J. Katz

Publisher: Princeton University Press

ISBN: 0691114854

Category: Mathematics

Page: 685

View: 272

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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.