Integers, Polynomials, and Rings A Course in Algebra

Name: Integers, Polynomials, and Rings A Course in Algebra
Availability: InStock
ISBN: 9780387201726

ISBN-10: 0387201726

ISBN-13: 9780387201726

Edition: 2004

Authors: Ronald S. Irving

List price: $59.95

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Description:

Mathematics is often regarded as the study of calculation, but in fact, mathematics is much more. It combines creativity and logic in order to arrive at abstract truths. This book is intended to illustrate how calculation, creativity, and logic can be combined to solve a range of problems in algebra. Originally conceived as a text for a course for future secondary-school mathematics teachers, this book has developed into one that could serve well in an undergraduate course in abstract algebra or a course designed as an introduction to higher mathematics. Not all topics in a traditional algebra course are covered. Rather, the author focuses on integers, polynomials, their ring structure, and…

Book details

List price: $59.95
Copyright year: 2004
Publisher: Springer New York
Publication date: 12/4/2003
Binding: Paperback
Pages: 288
Size: 6.10" wide x 9.25" long x 0.75" tall
Weight: 2.090
Language: English



Introduction: The McNugget Problem


Induction and the Division Theorem


The Euclidean Algorithm


Congruences


Prime Numbers


Rings


Euler's Theorem


Binomial Coefficients


Polynomials and Roots


Polynomials with Real Coefficients


Polynomials with Rational Coefficients


Polynomial Rings


Quadratic Polynomials


Polynomial Congruence Rings


Euclidean Rings


The Ring of Gaussian Integers


Finite Fields


Index