The Mathematics Of India

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The Mathematics of India

Author : P. P. Divakaran
Publisher : Springer
ISBN 13 : 9811317747
Total Pages : 441 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis The Mathematics of India by : P. P. Divakaran

Download or read book The Mathematics of India written by P. P. Divakaran and published by Springer. This book was released on 2018-09-19 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book identifies three of the exceptionally fruitful periods of the millennia-long history of the mathematical tradition of India: the very beginning of that tradition in the construction of the now-universal system of decimal numeration and of a framework for planar geometry; a classical period inaugurated by Aryabhata’s invention of trigonometry and his enunciation of the principles of discrete calculus as applied to trigonometric functions; and a final phase that produced, in the work of Madhava, a rigorous infinitesimal calculus of such functions. The main highlight of this book is a detailed examination of these critical phases and their interconnectedness, primarily in mathematical terms but also in relation to their intellectual, cultural and historical contexts. Recent decades have seen a renewal of interest in this history, as manifested in the publication of an increasing number of critical editions and translations of texts, as well as in an informed analytic interpretation of their content by the scholarly community. The result has been the emergence of a more accurate and balanced view of the subject, and the book has attempted to take an account of these nascent insights. As part of an endeavour to promote the new awareness, a special attention has been given to the presentation of proofs of all significant propositions in modern terminology and notation, either directly transcribed from the original texts or by collecting together material from several texts.

Mathematics in India

Author : Kim Plofker
Publisher : Princeton University Press
ISBN 13 : 9780691120676
Total Pages : 386 pages
Book Rating : 4.1/5 (26 download)

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Book Synopsis Mathematics in India by : Kim Plofker

Download or read book Mathematics in India written by Kim Plofker and published by Princeton University Press. This book was released on 2009-01-18 with total page 386 pages. 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).

Indian Mathematics: Engaging With The World From Ancient To Modern Times

Author : George Gheverghese Joseph
Publisher : World Scientific
ISBN 13 : 1786340631
Total Pages : 510 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Indian Mathematics: Engaging With The World From Ancient To Modern Times by : George Gheverghese Joseph

Download or read book Indian Mathematics: Engaging With The World From Ancient To Modern Times written by George Gheverghese Joseph and published by World Scientific. This book was released on 2016-07-28 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Contributions to the History of Indian Mathematics

Author : Gerard G. Emch
Publisher : Springer
ISBN 13 : 9386279258
Total Pages : 293 pages
Book Rating : 4.3/5 (862 download)

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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 and published by Springer. This book was released on 2005-10-15 with total page 293 pages. 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.

A Modern Introduction to Ancient Indian Mathematics

Author : T. S. Bhanu Murthy
Publisher : New Age International
ISBN 13 : 9788122403718
Total Pages : 230 pages
Book Rating : 4.4/5 (37 download)

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Book Synopsis A Modern Introduction to Ancient Indian Mathematics by : T. S. Bhanu Murthy

Download or read book A Modern Introduction to Ancient Indian Mathematics written by T. S. Bhanu Murthy and published by New Age International. This book was released on 1993 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Ancient Indian Leaps into Mathematics

Author : B.S. Yadav
Publisher : Springer Science & Business Media
ISBN 13 : 0817646957
Total Pages : 230 pages
Book Rating : 4.8/5 (176 download)

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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 and published by Springer Science & Business Media. This book was released on 2011-01-20 with total page 230 pages. 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.

The Mathematics of Egypt, Mesopotamia, China, India, and Islam

Author : Victor J. Katz
Publisher : Princeton University Press
ISBN 13 : 9780691114859
Total Pages : 712 pages
Book Rating : 4.1/5 (148 download)

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Book Synopsis The Mathematics of Egypt, Mesopotamia, China, India, and Islam by : Victor J. Katz

Download or read book The Mathematics of Egypt, Mesopotamia, China, India, and Islam written by Victor J. Katz and published by Princeton University Press. This book was released on 2007-08-05 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Studies in the History of Indian Mathematics

Author : C. S. Seshadri
Publisher : Springer
ISBN 13 : 9386279495
Total Pages : 395 pages
Book Rating : 4.3/5 (862 download)

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Book Synopsis Studies in the History of Indian Mathematics by : C. S. Seshadri

Download or read book Studies in the History of Indian Mathematics written by C. S. Seshadri and published by Springer. This book was released on 2010-08-15 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics Wizard Srinivasa Ramanujan

Author : Narendra Govil And Bhu Dev Sharma
Publisher : Prabhat Prakashan
ISBN 13 : 9390366739
Total Pages : 232 pages
Book Rating : 4.3/5 (93 download)

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Book Synopsis Mathematics Wizard Srinivasa Ramanujan by : Narendra Govil And Bhu Dev Sharma

Download or read book Mathematics Wizard Srinivasa Ramanujan written by Narendra Govil And Bhu Dev Sharma and published by Prabhat Prakashan. This book was released on 2021-03-10 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Wizard Srinivasa Ramanujan is a biographical work that explores the life and achievements of the extraordinary mathematician, Srinivasa Ramanujan. Written by Narendra Govil and Bhu Dev Sharma, the book delves into the remarkable journey of Ramanujan, who made groundbreaking contributions to the field of mathematics despite facing numerous challenges. Key Aspects of The Book “Mathematics Wizard Srinivasa Ramanujan”: Exceptional Mathematical Mind: The book showcases Ramanujan's exceptional mathematical abilities and his innate talent for numbers. It highlights his prodigious intuition and the unique insights he brought to various branches of mathematics, such as number theory, infinite series, and modular forms. Struggles and Determination: The book explores the challenges Ramanujan faced throughout his life, including his limited formal education and financial difficulties. It emphasizes his unwavering determination and relentless pursuit of knowledge, as he continued to explore and develop his mathematical ideas despite the obstacles he encountered. Collaborations and Recognition: The book may highlight Ramanujan's collaborations with eminent mathematicians, such as G.H. Hardy, and the impact of their work together. It may also delve into the recognition Ramanujan eventually received for his groundbreaking contributions to mathematics, both during his lifetime and posthumously. Overall, Mathematics Wizard Srinivasa Ramanujan offers readers an inspiring glimpse into the life of a mathematical genius who defied the odds and left an indelible mark on the field of mathematics. It portrays Ramanujan's incredible talents, perseverance, and enduring legacy that continues to inspire mathematicians and enthusiasts around the world. Narendra Govil and Bhu Dev Sharma celebrate the genius of Srinivasa Ramanujan, one of the most influential Indian mathematicians of all time. His remarkable mathematical discoveries and insights revolutionized the field of mathematics and number theory, and his mathematical brilliance, contributions, and theories continue to be studied and appreciated to this day. From his groundbreaking work in number theory to his intricate mathematical puzzles and equations, Ramanujan's mathematical concepts and principles have shaped the way we think about mathematics. His mathematical achievements, innovation, and legacy have given us new ways of exploring and understanding the world with mathematical thinking. Whether it's his revolutionary mathematical theories or his revolutionary mathematical exploration, Ramanujan's work will continue to be celebrated for generations to come.

Studies in Indian Mathematics and Astronomy

Author : Aditya Kolachana
Publisher : Springer
ISBN 13 : 9811373264
Total Pages : 754 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Studies in Indian Mathematics and Astronomy by : Aditya Kolachana

Download or read book Studies in Indian Mathematics and Astronomy written by Aditya Kolachana and published by Springer. This book was released on 2019-05-29 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introductory Discrete Mathematics

Author : V. K . Balakrishnan
Publisher : Courier Corporation
ISBN 13 : 0486140385
Total Pages : 260 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introductory Discrete Mathematics by : V. K . Balakrishnan

Download or read book Introductory Discrete Mathematics written by V. K . Balakrishnan and published by Courier Corporation. This book was released on 2012-04-30 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. More than 200 exercises, many with complete solutions. 1991 edition.

Cultural Foundations of Mathematics

Author : C. K. Raju
Publisher : Pearson Education India
ISBN 13 : 9788131708712
Total Pages : 536 pages
Book Rating : 4.7/5 (87 download)

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Book Synopsis Cultural Foundations of Mathematics by : C. K. Raju

Download or read book Cultural Foundations of Mathematics written by C. K. Raju and published by Pearson Education India. This book was released on 2007 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Volume Examines, In Depth, The Implications Of Indian History And Philosophy For Contemporary Mathematics And Science. The Conclusions Challenge Current Formal Mathematics And Its Basis In The Western Dogma That Deduction Is Infallible (Or That It Is Less Fallible Than Induction). The Development Of The Calculus In India, Over A Thousand Years, Is Exhaustively Documented In This Volume, Along With Novel Insights, And Is Related To The Key Sources Of Wealth-Monsoon-Dependent Agriculture And Navigation Required For Overseas Trade - And The Corresponding Requirement Of Timekeeping. Refecting The Usual Double Standard Of Evidence Used To Construct Eurocentric History, A Single, New Standard Of Evidence For Transmissions Is Proposed. Using This, It Is Pointed Out That Jesuits In Cochin, Following The Toledo Model Of Translation, Had Long-Term Opportunity To Transmit Indian Calculus Texts To Europe. The European Navigational Problem Of Determining Latitude, Longitude, And Loxodromes, And The 1582 Gregorian Calendar-Reform, Provided Ample Motivation. The Mathematics In These Earlier Indian Texts Suddenly Starts Appearing In European Works From The Mid-16Th Century Onwards, Providing Compelling Circumstantial Evidence. While The Calculus In India Had Valid Pramana, This Differed From Western Notions Of Proof, And The Indian (Algorismus) Notion Of Number Differed From The European (Abacus) Notion. Hence, Like Their Earlier Difficulties With The Algorismus, Europeans Had Difficulties In Understanding The Calculus, Which, Like Computer Technology, Enhanced The Ability To Calculate, Albeit In A Way Regarded As Epistemologically Insecure. Present-Day Difficulties In Learning Mathematics Are Related, Via Phylogeny Is Ontogeny , To These Historical Difficulties In Assimilating Imported Mathematics. An Appendix Takes Up Further Contemporary Implications Of The New Philosophy Of Mathematics For The Extension Of The Calculus, Which Is Needed To Handle The Infinities Arising In The Study Of Shock Waves And The Renormalization Problem Of Quantum Field Theory.

Vedic Mathematics Or Sixteen Simple Mathematical Formulae from the Vedas for One-line Answers to All the Mathematical Problems)

Author : Bhāratī Kṛṣṇa Tīrtha
Publisher :
ISBN 13 :
Total Pages : 367 pages
Book Rating : 4.:/5 (674 download)

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Book Synopsis Vedic Mathematics Or Sixteen Simple Mathematical Formulae from the Vedas for One-line Answers to All the Mathematical Problems) by : Bhāratī Kṛṣṇa Tīrtha

Download or read book Vedic Mathematics Or Sixteen Simple Mathematical Formulae from the Vedas for One-line Answers to All the Mathematical Problems) written by Bhāratī Kṛṣṇa Tīrtha and published by . This book was released on 1981 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Heritage of Thales

Author : W.S. Anglin
Publisher : Springer Science & Business Media
ISBN 13 : 1461208033
Total Pages : 304 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Heritage of Thales by : W.S. Anglin

Download or read book The Heritage of Thales written by W.S. Anglin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors' novel approach to some interesting mathematical concepts - not normally taught in other courses - places them in a historical and philosophical setting. Although primarily intended for mathematics undergraduates, the book will also appeal to students in the sciences, humanities and education with a strong interest in this subject. The first part proceeds from about 1800 BC to 1800 AD, discussing, for example, the Renaissance method for solving cubic and quartic equations and providing rigorous elementary proof that certain geometrical problems posed by the ancient Greeks cannot be solved by ruler and compass alone. The second part presents some fundamental topics of interest from the past two centuries, including proof of G del's incompleteness theorem, together with a discussion of its implications.

The Aryabhatiya of Aryabhata

Author : Walter Eugene Clark
Publisher :
ISBN 13 : 9781494010546
Total Pages : 120 pages
Book Rating : 4.0/5 (15 download)

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Book Synopsis The Aryabhatiya of Aryabhata by : Walter Eugene Clark

Download or read book The Aryabhatiya of Aryabhata written by Walter Eugene Clark and published by . This book was released on 2013-10 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a new release of the original 1930 edition.

A Synopsis of Elementary Results in Pure and Applied Mathematics

Author : George Shoobridge Carr
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.R/5 (6 download)

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Book Synopsis A Synopsis of Elementary Results in Pure and Applied Mathematics by : George Shoobridge Carr

Download or read book A Synopsis of Elementary Results in Pure and Applied Mathematics written by George Shoobridge Carr and published by . This book was released on 1880 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Man Who Knew Infinity

Author : Robert Kanigel
Publisher : Simon and Schuster
ISBN 13 : 1476763496
Total Pages : 464 pages
Book Rating : 4.4/5 (767 download)

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Book Synopsis The Man Who Knew Infinity by : Robert Kanigel

Download or read book The Man Who Knew Infinity written by Robert Kanigel and published by Simon and Schuster. This book was released on 2016-04-26 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: A biography of the Indian mathematician Srinivasa Ramanujan. The book gives a detailed account of his upbringing in India, his mathematical achievements, and his mathematical collaboration with English mathematician G. H. Hardy. The book also reviews the life of Hardy and the academic culture of Cambridge University during the early twentieth century.