Abstract

Topics in Commutative Ring Theory

Name: Topics in Commutative Ring Theory
Brand: Princeton University Press
SKU: 9780691127484
Price: 15803.00 INR
Availability: InStock
ISBN: 9780691127484

Contributor(s): Watkins, John J. Author Format: Hardback

Hardback · ISBN 9780691127484

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Key Specifications

ISBN	9780691127484
Publisher	Princeton University Press
Publication date	July 2007
Language	English
MRP	£100.00 GBP
Page count	228
Item weight	136 g

Topics in Commutative Ring Theory is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introduction to this fascinating area of abstract algebra.

Commutative ring theory arose more than a century ago to address questions in geometry and number theory. A commutative ring is a set-such as the integers, complex numbers, or polynomials with real coefficients--with two operations, addition and multiplication. Starting from this simple definition, John Watkins guides readers from basic concepts to Noetherian rings-one of the most important classes of commutative rings--and beyond to the frontiers of current research in the field. Each chapter includes problems that encourage active reading--routine exercises as well as problems that build technical skills and reinforce new concepts. The final chapter is devoted to new computational techniques now available through computers. Careful to avoid intimidating theorems and proofs whenever possible, Watkins emphasizes the historical roots of the subject, like the role of commutative rings in Fermat's last theorem. He leads readers into unexpected territory with discussions on rings of continuous functions and the set-theoretic foundations of mathematics.

Written by an award-winning teacher, this is the first introductory textbook to require no prior knowledge of ring theory to get started. Refreshingly informal without ever sacrificing mathematical rigor, Topics in Commutative Ring Theory is an ideal resource for anyone seeking entry into this stimulating field of study.

Topics in Commutative Ring Theory

Key Specifications

Watkins, John J. Author

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