Topics in Commutative Ring Theory

Watkins, John J.

ISBN 10: 0691127484 / ISBN 13: 9780691127484

Published by Princeton University Press, Princeton, New Jersey, 2007

About this Item

HARDCOVER. Princeton University Press,Princeton, New Jersey, 2007 First edition Quarto in English. x, 215 pages. Original burgundy paper on boards with three male images and yellow lettering to cover and spine. Burgundy endpapers. Preface, 15 chapters, Solutions to Selected Problems, Suggestions for further reading, Index at rear. Mathematical notation throughout. Book in fine to as new condition with owner's embossed stamp on one page. See photographs. Book 4665 location 4-5.

Seller Inventory # 4665

Bibliographic Details

• Title: Topics in Commutative Ring Theory
• Publisher: Princeton University Press, Princeton, New Jersey
• Publication Date: 2007
• Language: English
• ISBN 10: 0691127484
• ISBN 13: 9780691127484
• Binding: Hardcover
• Edition: 1st Edition
• Condition: Fine
• Dust Jacket Condition: No Jacket
• Dimensions: 1.91W x 17.78H x 26.04D centimeters 1.91 centimeters width by 17.78 centimeters height by 26.04 centimeters depth
• Weight: 624 grams
• Seller catalogs:
  • OTHER
  • SCIENCE
  • TECHNICAL

About this title

Synopsis

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.

About the Author

John J. Watkins is professor of mathematics at Colorado College. He is the author of Across the Board: The Mathematics of Chessboard Problems (Princeton) and the coauthor of Graphs: An Introductory Approach.