Studies In The History Of Indian Mathematics

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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.

The Cambridge History of Science: Volume 1, Ancient Science

Author : Alexander Jones
Publisher : Cambridge University Press
ISBN 13 : 1108682626
Total Pages : pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis The Cambridge History of Science: Volume 1, Ancient Science by : Alexander Jones

Download or read book The Cambridge History of Science: Volume 1, Ancient Science written by Alexander Jones and published by Cambridge University Press. This book was released on 2018-12-13 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume in the highly respected Cambridge History of Science series is devoted to the history of science, medicine and mathematics of the Old World in antiquity. Organized by topic and culture, its essays by distinguished scholars offer the most comprehensive and up-to-date history of ancient science currently available. Together, they reveal the diversity of goals, contexts, and accomplishments in the study of nature in Mesopotamia, Egypt, Greece, Rome, China, and India. Intended to provide a balanced and inclusive treatment of the ancient world, contributors consider scientific, medical and mathematical learning in the cultures associated with the ancient world.

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).

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.

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.

Studies in Indian Mathematics and Astronomy

Author : Aditya Kolachana
Publisher : Springer
ISBN 13 : 9811373264
Total Pages : 742 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 742 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.

Ancient Indian Leaps into Mathematics

Author : B.S. Yadav
Publisher : Springer Science & Business Media
ISBN 13 : 0817646957
Total Pages : 218 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 218 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.

Indian Mathematics

Author : George Gheverghese Joseph
Publisher : World Scientific
ISBN 13 : 1786340631
Total Pages : 512 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Indian Mathematics by : George Gheverghese Joseph

Download or read book Indian Mathematics written by George Gheverghese Joseph and published by World Scientific. This book was released on 2016-07-28 with total page 512 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.

Leonhard Euler

Author : Robert E. Bradley
Publisher : Elsevier
ISBN 13 : 9780080471297
Total Pages : 542 pages
Book Rating : 4.4/5 (712 download)

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Book Synopsis Leonhard Euler by : Robert E. Bradley

Download or read book Leonhard Euler written by Robert E. Bradley and published by Elsevier. This book was released on 2007-03-20 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment’s most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the world’s best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Euler’s life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Euler’s philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Euler’s innovations in probability, number theory, geometry, analysis, astronomy, mechanics and other fields of mathematics and science. - Over 20 essays by some of the best historians of mathematics and science, including Ronald Calinger, Peter Hoffmann, Curtis Wilson, Kim Plofker, Victor Katz, Ruediger Thiele, David Richeson, Robin Wilson, Ivor Grattan-Guinness and Karin Reich - New details of Euler's life in two essays, one by Ronald Calinger and one he co-authored with Elena Polyakhova - New information on Euler's work in differential geometry, series, mechanics, and other important topics including his influence in the early 19th century

Ramanujan and Ancient Indian Mathematicians

Author : Swapan Banerjee
Publisher :
ISBN 13 : 9781981156283
Total Pages : 200 pages
Book Rating : 4.1/5 (562 download)

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Book Synopsis Ramanujan and Ancient Indian Mathematicians by : Swapan Banerjee

Download or read book Ramanujan and Ancient Indian Mathematicians written by Swapan Banerjee and published by . This book was released on 2019-08-18 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Brief Biography of Ramanujan, origin of numerals and brief biographies of ancient Indian Mathematicians.

Writing the History of Mathematics: Its Historical Development

Author : Joseph W. Dauben
Publisher : Springer Science & Business Media
ISBN 13 : 9783764361679
Total Pages : 776 pages
Book Rating : 4.3/5 (616 download)

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Book Synopsis Writing the History of Mathematics: Its Historical Development by : Joseph W. Dauben

Download or read book Writing the History of Mathematics: Its Historical Development written by Joseph W. Dauben and published by Springer Science & Business Media. This book was released on 2002-09-23 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.

Mathematics in Society and History

Author : S. Restivo
Publisher : Springer Science & Business Media
ISBN 13 : 9401129444
Total Pages : 215 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Mathematics in Society and History by : S. Restivo

Download or read book Mathematics in Society and History written by S. Restivo and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book by a sociologist devoted exclusively to a general sociology of mathematics. The author provides examples of different ways of thinking about mathematics sociologically. The survey of mathematical traditions covers ancient China, the Arabic-Islamic world, India, and Europe. Following the leads of classical social theorists such as Emile Durkheim, Restivo develops the idea that mathematical concepts and ideas are collective representations, and that it is mathematical communities that create mathematics, not individual mathematicians. The implications of the sociology of mathematics, and especially of pure mathematics, for a sociology of mind are also explored. In general, the author's objective is to explore, conjecture, suggest, and stimulate in order to introduce the sociological perspective on mathematics, and to broaden and deepen the still narrow, shallow path that today carries the sociology of mathematics. This book will interest specialists in the philosophy, history, and sociology of mathematics, persons interested in mathematics education, students of science and society, and people interested in current developments in the social and cultural analysis of science and mathematics.

Alexandre Grothendieck

Author : Leila Schneps
Publisher : International Pressof Boston Incorporated
ISBN 13 : 9781571462824
Total Pages : 307 pages
Book Rating : 4.4/5 (628 download)

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Book Synopsis Alexandre Grothendieck by : Leila Schneps

Download or read book Alexandre Grothendieck written by Leila Schneps and published by International Pressof Boston Incorporated. This book was released on 2014 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an explanation of what made Alexandre Grothendieck the mathematician that he was. Thirteen articles written by people who knew him personally - some who even studied or collaborated with him over a period of many years - portray Grothendieck at work, explaining the nature of his thought through descriptions of his discoveries and contributions to various subjects, and with impressions, memories, anecdotes, and some biographical elements.

Science and Mathematics

Author : Jayant V. Narlikar
Publisher : Taylor & Francis
ISBN 13 : 1000433196
Total Pages : 189 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Science and Mathematics by : Jayant V. Narlikar

Download or read book Science and Mathematics written by Jayant V. Narlikar and published by Taylor & Francis. This book was released on 2021-11-29 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an engaging and comprehensive introduction to scientific theories and the evolution of science and mathematics through the centuries. It discusses the history of scientific thought and ideas and the intricate dynamic between new scientific discoveries, scientists, culture and societies. Through stories and historical accounts, the volume illustrates the human engagement and preoccupation with science and the interpretation of natural phenomena. It highlights key scientific breakthroughs from the ancient to later ages, giving us accounts of the work of ancient Greek and Indian mathematicians and astronomers, as well as of the work of modern scientists like Descartes, Newton, Planck, Mendel and many more. The author also discusses the vast advancements which have been made in the exploration of space, matter and genetics and their relevance in the advancement of the scientific tradition. He provides great insights into the process of scientific experimentation and the relationship between science and mathematics. He also shares amusing anecdotes of scientists and their interactions with the world around them. Detailed and accessible, this book will be of great interest to students and researchers of science, mathematics, the philosophy of science, science and technology studies and history. It will also be useful for general readers who are interested in the history of scientific discoveries and ideas.

The Intersection of History and Mathematics

Author : Sasaki Chikara
Publisher : Birkhäuser
ISBN 13 : 3034875215
Total Pages : 272 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Intersection of History and Mathematics by : Sasaki Chikara

Download or read book The Intersection of History and Mathematics written by Sasaki Chikara and published by Birkhäuser. This book was released on 2013-03-09 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Achievements of Pre-modern Indian Mathematicians

Author : T.K Puttaswamy
Publisher : Newnes
ISBN 13 : 0123979137
Total Pages : 769 pages
Book Rating : 4.1/5 (239 download)

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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 and published by Newnes. This book was released on 2012-08-27 with total page 769 pages. 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

Author : Gerard G. Emch
Publisher : Hindustan Book Agency and Indian National Science Academy
ISBN 13 :
Total Pages : 308 pages
Book Rating : 4.3/5 (91 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 Hindustan Book Agency and Indian National Science Academy. This book was released on 2005-10-15 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributed articles presented at a seminar.