
Stock image for illustration purposes only - book cover, edition or condition may vary.
Topics in Commutative Ring Theory
John J. Watkins
€ 129.32
FREE Delivery in Ireland
Description for Topics in Commutative Ring Theory
Hardback. A commutative ring is a set-such as the integers, complex numbers, or polynomials with real coefficients - with two operations, addition and multiplication. This book guides readers from basic concepts to Noetherian rings, one of the most important classes of commutative rings and beyond. Num Pages: 232 pages, Illustrations. BIC Classification: PBF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 256 x 184 x 19. Weight in Grams: 640.
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
Product Details
Format
Hardback
Publication date
2007
Publisher
Princeton University Press United States
Number of pages
232
Condition
New
Number of Pages
232
Place of Publication
New Jersey, United States
ISBN
9780691127484
SKU
V9780691127484
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About John J. Watkins
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".
Reviews for Topics in Commutative Ring Theory
"As an honest, focused treatment of an important subject packaged into an attractive, slender volume that average undergraduates may reasonably hope to master in one semester, this book will find its niche and its admirers."
D.V. Feldman, Choice "A highlight is the attention given here to the ring of continuous functions, an important non-standard example of a commutative ring that shows the profound relationship between algebra and topology."
Marco Fontana, Mathematical Reviews
D.V. Feldman, Choice "A highlight is the attention given here to the ring of continuous functions, an important non-standard example of a commutative ring that shows the profound relationship between algebra and topology."
Marco Fontana, Mathematical Reviews