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Algebra in Ancient and Modern Times

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ISBN-10: 082180989X

ISBN-13: 9780821809891

Edition: 1998

Authors: V. S. Varadarajan

List price: $29.00
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This text offers a special account of Indian work in diophantine equations during the 6th through 12th centuries and Italian work on solutions of cubic and biquadratic equations from the 11th through 16th centuries. The volume traces the historical development of algebra and the theory of equations from ancient times to the beginning of modern algebra, outlining some modern themes, such as the fundamental theorem of algebra, Clifford algebras and quarternions. It is geared toward undergraduates who have no background in calculus. This book is co-published with the Hindustan Book Agency (New Delhi) and is distributed world-wide, except in India, Sri Lanka, Bangladesh, Pakistan, and Nepal, by…    
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Book details

List price: $29.00
Copyright year: 1998
Publisher: American Mathematical Society
Publication date: 4/29/1998
Binding: Paperback
Pages: 142
Size: 7.25" wide x 10.25" long x 0.50" tall
Weight: 0.858
Language: English

Some history of early mathematics: Euclid-Archimedes-Diophantus
Pythagoras and the Pythagorean triplets
Aryabhata-Brahmagupta-Bhaskara Irrational numbers: construction and approximation
Arabic mathematics Beginnings of algebra in Europe
The cubic and biquadratic equations
Solution of the cubic and biquadratic equations: Solution of the cubic equation
Solution of the biquadratic equation
Some themes from modern algebra: Numbers, algebra, and the real world Complex numbers
Fundamental theorem of algebra Equations of degree greater than four General number systems and the axiomatic treatment of algebra