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Ancient Indian Leaps into Mathematics
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Catalogue Information
Field name
Details
Dewey Class
510.9 (DDC 23)
Title
Ancient Indian Leaps into Mathematics ([Ebook]) / edited by B.S. Yadav, Man Mohan.
Author
Yadav, B.S.
Added Personal Name
Mohan, Man
Other name(s)
SpringerLink (Online service)
Publication
Boston, MA : Birkhäuser
, 2011.
Physical Details
X, 290 pages : 30 illus. : online resource.
ISBN
9780817646950
Summary Note
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. Key topics include: The work of two well-known Indian mathematicians: Brahmagupta and Bhaskaracharya; The relationship of Indian mathematics to the mathematics of China and Greece; The transmission of mathematical ideas between the Western and non-Western world; A study of Keralese mathematics and coverage of the techniques used in the ÅulbasÅ«tras; The calendrical calculations, complete with computer programs, enabling readers to determine Indian dates. Ancient Indian Leaps into Mathematics examines these ancient mathematical ideas that were spread throughout India, China, the Islamic world, and Western Europe. Through a systematic approach, it gives an historical account of ancient Indian mathematical traditions and their influence on other parts of the world.:
Contents note
Foreword -- Prelude -- Indian Mathematics in the Medieval Islamic World -- Brahmagupta: the Ancient Indian Mathematician -- Indian Calendrical Calculations -- Indiaâs contributions to Chinese Mathematics up to the Eighth Century A.D. -- Some Discussions about how Indian Trigonometry affected Chinese Calendar-Calculation in the Tang Dynasty -- On the Application of Areas in the Sulbasutra -- Indian Mathematical Tradition with special reference to Kerala: Methodology and Motivations -- Mainland South-East Asia as a Crossroad of Chinese and Indian Astronomy -- Mathematical Literature in the Regional Languages of India -- Pascalâs Triangle in 500 BC -- André Weil: His Book on Number Theory and Indian References -- The Algorithm of Extraction in both Greek and Sino-Indian Mathematical Traditions -- Index.
System details note
Online access to this digital book is restricted to subscription istitutions through IP address (only for SISSA users)
Internet Site
http://dx.doi.org/10.1007/978-0-8176-4695-0
Links to Related Works
Subject References:
History of Mathematical Sciences
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Mathematics
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Non-Western Philosophy
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Philosophy, modern
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Authors:
editor
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Mohan, Man
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Yadav, B.S.
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Corporate Authors:
SpringerLink (Online service)
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Classification:
510.9 (DDC 23)
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