Mathematical Achievements of Pre-modern Indian Mathematicians

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Newnes, 22 d’oct. 2012 - 758 pàgines

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.

  • Contains more than 160 original Sanskrit verses with English translations giving historical context to the contributions
  • Presents the various proofs step by step to help readers understand
  • Uses modern, current notations and symbols to develop the calculations and proofs
 

Pàgines seleccionades

Continguts

1 A Glance at Ancient India and the Decimal System of Numeration
1
2 The Sulvasutras
7
3 Mathematics of Jains
75
4 The Bakshali Manuscript
85
5 Aryabhata I
105
6 Varahamihira and Bhaskara I
141
7 Brahmagupta
161
8 Sridhara and Prthudakaswami Caturveda
209
10 Aryabhata II and Sripati
317
11 Bhaskara II
331
12 Narayana Pandita
541
13 Kerala Astronomers
585
14 Sixteenth and Seventeenth Century Commentators of Bhaskara II
679
Appendix
705
Bibliography
737
Copyright

9 Mahavira
231

Altres edicions - Mostra-ho tot

Mathematical Achievements of Pre-modern Indian Mathematicians
T.K Puttaswamy
Previsualització limitada - 2012
Mathematical Achievements of Pre-modern Indian Mathematicians
T.K Puttaswamy
Previsualització no disponible - 2012

Frases i termes més freqüents

altitude ancient Indian approximation arbitrary integer Aryabhata Aryabhata II astronomer Bakshali base Baudhayana Bhaskara II Bhaskara II’s Bijaganitha Brahma Sphuta Siddhanta Brahmagupta circle circumference circumradius commentary cont’d cyclic quadrilateral cyclic quadrilateral ABCD ðÃÞ diagonal diameter difference divided equal Example Bhaskara ffiffiffi ffiffiffiffiffi ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi Find following table form the following formula Ganita geometrical give given square Hence Hindu hypotenuse indeterminate equation Indian Mathematics infinite solutions integral solution isosceles trapezium isosceles triangle Jains Kerala least solution Lemma Let ABCD Mahavira method Multiplying Nilakantha Nilakantha Somayaji number of quotients observe perfect square perpendicular Proof radius rational number rational solution rational triangle rectangle right triangle Siddhanta sides sine chord sloka Solution Let solution of Nx square root Subtracting Sulvasutras Sutra theorem Varahamihira Vargaprakriti Yuktibhasa

Sobre l'autor (2012)

Professor Emeritus, Department of Mathematical Sciences, Ball State University, Indiana, USA

Informació bibliogràfica

TítolMathematical Achievements of Pre-modern Indian Mathematicians
AutorT.K Puttaswamy
EditorNewnes, 2012
ISBN0123979382, 9780123979384
Nre. de pàgines758 pàgines
  
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