Algebra in Ancient and Modern Times
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Description: 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 the American Mathematical Society.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $29.00
Copyright year: 1998
Publisher: American Mathematical Society
Publication date: 4/29/1998
Size: 7.25" wide x 10.25" long x 0.50" tall
|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|