Mathematical achievements of pre-modern Indian mathematicians
著者
書誌事項
Mathematical achievements of pre-modern Indian mathematicians
(Elsevier insights)
Elsevier, 2012
1st ed
- : hardback
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注記
Includes bibliographical references (p. [737]-743) and index
内容説明・目次
内容説明
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.
目次
INTRODUCTION
A GLANCE AT ANCIENT INDIA AND THE DECIMAL SYSTEM OF NUMERATION
THE SULVA SUTRAS
MATHEMATICS OF JAINS
THE BAKSHALI MANUSCRIPT
ARYABHATA I
VARAHAMIHIRA AND BHASKARA I
BRAHMAGUPTA
SRIDHARA and PRTHUDAKASWAMI CATURVEDA
MAHAVIRA
ARYABHATA II and SRIPATI
BHASKARA II
NARAYANA PANDITA
KERALA ASTRONOMERS
16TH AND 17TH CENTURY COMMENTATORS OF BHASKARA II
BIBLIOGRAPHY
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