Topics in Commutative Ring Theory

Topics in Commutative Ring Theory
Author :
Publisher : Princeton University Press
Total Pages : 228
Release :
ISBN-13 : 9781400828173
ISBN-10 : 1400828171
Rating : 4/5 (71 Downloads)

Book Synopsis Topics in Commutative Ring Theory by : John J. Watkins

Download or read book Topics in Commutative Ring Theory written by John J. Watkins and published by Princeton University Press. This book was released on 2009-02-09 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Related Books

Topics in Commutative Ring Theory
Language: en
Pages: 228
Authors: John J. Watkins
Categories: Mathematics
Type: BOOK - Published: 2009-02-09 - Publisher: Princeton University Press

DOWNLOAD EBOOK

Topics in Commutative Ring Theory is a textbook for advanced undergraduate students as well as graduate students and mathematicians seeking an accessible introd
Commutative Ring Theory
Language: en
Pages: 338
Authors: Hideyuki Matsumura
Categories: Mathematics
Type: BOOK - Published: 1989-05-25 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

This book explores commutative ring theory, an important a foundation for algebraic geometry and complex analytical geometry.
Introduction To Commutative Algebra
Language: en
Pages: 140
Authors: Michael F. Atiyah
Categories: Mathematics
Type: BOOK - Published: 2018-03-09 - Publisher: CRC Press

DOWNLOAD EBOOK

First Published in 2018. This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of produci
Foundations of Commutative Rings and Their Modules
Language: en
Pages: 714
Authors: Fanggui Wang
Categories: Mathematics
Type: BOOK - Published: 2017-01-06 - Publisher: Springer

DOWNLOAD EBOOK

This book provides an introduction to the basics and recent developments of commutative algebra. A glance at the contents of the first five chapters shows that
Commutative Algebra
Language: en
Pages: 784
Authors: David Eisenbud
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutio