Ancient Indian leaps into mathematics
著者
書誌事項
Ancient Indian leaps into mathematics
Birkhäuser , Springer, c2011
大学図書館所蔵 全3件
注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
Foreword.- Prelude.- Indian Mathematics in the Medieval Islamic World.- Brahmagupta: the Ancient Indian Mathematician.- Indian Calendrical Calculations.- India's 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.- Pascal's Triangle in 500 BC.- Andre Weil: His Book on Number Theory and Indian References.- The Algorithm of Extraction in both Greek and Sino-Indian Mathematical Traditions.- Index.
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