Ancient Indian Leaps into Mathematics
(Sprache: Englisch)
This volume presents contributions of mathematicians from ancient India to the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available, Indian contributions are rarely presented in major...
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This volume presents contributions of mathematicians from ancient India to the broader context of the history of mathematics. Although the translations of some Sanskrit mathematical texts are available, Indian contributions are rarely presented in major European historical works. Some of the well-known and universally accepted discoveries from India include the concept of zero and the decimal representation of numbers.The presentation of ideas is systematic and follows the mathematical ideas that were spread from India, China, the Islamic world, and Western Europe. 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; and transmission of ideas between the Western and non-Western world. In addition, a chapter on calendrical calculations, complete with computer programs, enables the reader to determine Indian dates. Through these articles, the contributors interweave the mathematics of India and the rest of the world.
Inhaltsverzeichnis zu „Ancient Indian Leaps into Mathematics “
- 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
- André Weil: His Book on Number Theory and Indian References
- The Algorithm of Extraction in both Greek and Sino-Indian Mathematical Traditions
- Index
Bibliographische Angaben
- 2010, 218 Seiten, 30 Abbildungen, Maße: 16,6 x 24,3 cm, Gebunden, Englisch
- Herausgegeben:Yadav, B.S.; Mohan, Man
- Herausgegeben: B. S. Yadav, Man Mohan
- Verlag: Springer
- ISBN-10: 0817646949
- ISBN-13: 9780817646943
- Erscheinungsdatum: 28.10.2010
Sprache:
Englisch
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