Mathematical Achievements of Pre-modern Indian Mathematicians

Mathematical Achievements of Pre-modern Indian Mathematicians

Author: T.K Puttaswamy

Publisher: Newnes

Published: 2012-10-22

Total Pages: 768

ISBN-13: 0123979382

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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


Expounding the Mathematical Seed. Vol. 2: The Supplements

Expounding the Mathematical Seed. Vol. 2: The Supplements

Author: Agathe Keller

Publisher: Springer Science & Business Media

Published: 2007-08-02

Total Pages: 242

ISBN-13: 3764375930

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In the 5th century, the Indian mathematician Aryabhata wrote a small but famous work on astronomy in 118 verses called the Aryabhatiya. Its second chapter gives a summary of Hindu mathematics up to that point, and 200 years later, the Indian astronomer Bhaskara glossed that chapter. Volume 1 of this work was an English translation of Bhaskara’s commentary, and this volume contains explanations for each verse commentary translated in volume 1.


Historical Perspectives On East Asian Science, Technology And Medicine

Historical Perspectives On East Asian Science, Technology And Medicine

Author: Alan Kam Leung Chan

Publisher: World Scientific

Published: 2002-07-24

Total Pages: 609

ISBN-13: 981448864X

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Historical Perspectives on East Asian Science, Technology, and Medicine brings together over fifty papers by leading contemporary historians from more than a dozen nations. It is the third in a series of books growing out of the tri-annual International Conference on the History of Science in East Asia, the largest and most prestigious gathering of scholars in the field. The current volume broadens the field's traditional focus on China to include path-breaking work on Vietnam, Korea, Japan, the Philippines, and even the transmission of Asian science and technology to Europe and the United States. Topics covered include: traditional Chinese, Vietnamese, and Filipino medicines; Chinese astronomy; Japanese earthquakes; science and technology policy; architecture; the digital revolution; and much else.


Mathematics Across Cultures

Mathematics Across Cultures

Author: Helaine Selin

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 489

ISBN-13: 9401143013

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Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.


Chinese Mathematics in the Thirteenth Century

Chinese Mathematics in the Thirteenth Century

Author: Ulrich Libbrecht

Publisher: Courier Corporation

Published: 2005-01-01

Total Pages: 594

ISBN-13: 0486446190

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An exploration of the life and work of the thirteenth-century mathematician Ch'in, this fascinating book examines a range of mathematical issues that reflect Chinese life of a millennium ago. Its first part consists of four closely related studies of Ch'in and his work. The first study brings together what is known of the mathematician's life and of the history of his only extant work, the Shu-shu chiu-chang. Subsequent studies examine the entire range of mathematical techniques and problems found within Ch'in's book. The core of this book consists of an in-depth study of what modern mathematicians still refer to as the Chinese remainder theorem for the solution of indeterminate equations of the first degree. This was Ch'in's most original contribution to mathematics--so original that no one could correctly explain Ch'in's procedure until the early nineteenth century. This volume's concluding study unites information on artisanal, economic, administrative, and military affairs dispersed throughout Ch'in's writings, providing rare insights into thirteenth-century China.


Encyclopaedia of the History of Science, Technology, and Medicine in Non-Westen Cultures

Encyclopaedia of the History of Science, Technology, and Medicine in Non-Westen Cultures

Author: Helaine Selin

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 1140

ISBN-13: 9401714169

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The Encyclopaedia fills a gap in both the history of science and in cultural stud ies. Reference works on other cultures tend either to omit science completely or pay little attention to it, and those on the history of science almost always start with the Greeks, with perhaps a mention of the Islamic world as a trans lator of Greek scientific works. The purpose of the Encyclopaedia is to bring together knowledge of many disparate fields in one place and to legitimize the study of other cultures' science. Our aim is not to claim the superiority of other cultures, but to engage in a mutual exchange of ideas. The Western aca demic divisions of science, technology, and medicine have been united in the Encyclopaedia because in ancient cultures these disciplines were connected. This work contributes to redressing the balance in the number of reference works devoted to the study of Western science, and encourages awareness of cultural diversity. The Encyclopaedia is the first compilation of this sort, and it is testimony both to the earlier Eurocentric view of academia as well as to the widened vision of today. There is nothing that crosses disciplinary and geographic boundaries, dealing with both scientific and philosophical issues, to the extent that this work does. xi PERSONAL NOTE FROM THE EDITOR Many years ago I taught African history at a secondary school in Central Africa.


Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences

Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences

Author: Ivor Grattan-Guinness

Publisher: Routledge

Published: 2002-09-11

Total Pages: 1788

ISBN-13: 1134957491

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* Examines the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times up to the twentieth century * 176 articles contributed by authors of 18 nationalities * Chronological table of main events in the development of mathematics * Fully integrated index of people, events and topics * Annotated bibliographies of both classic and contemporary sources * Unique coverage of Ancient and non-Western traditions of mathematics