Ancient Indian Leaps into Mathematics

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Yadav, B.S (Επιμελητής έκδοσης), Mohan, Man (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2011.
• Θέματα: Mathematics.; Philosophy, Asian.; History.; History of Mathematical Sciences.; Non-Western Philosophy.

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...

Πίνακας περιεχομένων:

• 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.