tailieunhanh - Advanced Modern Algebra

Algebra is used by virtually all mathematicians, be they analysts, combinatorists, com- puter scientists, geometers, logicians, number theorists, or topologists. Nowadays, ev- eryone agrees that some knowledge of linear algebra, groups, and commutative rings is necessary, and these topics are introduced in undergraduate courses. We continue their study. | ADVANCÍD MODERN ALGEBRA JOSEPH J. ROTMAN Advanced Modern Algebra by Joseph J. Rotman Hardcover 1040 pages Publisher Prentice Hall 1st edition 2002 2nd printing 2003 Language English ISBN 0130878685 Book Description This book s organizing principle is the interplay between groups and rings where rings includes the ideas of modules. It contains basic definitions complete and clear theorems the first with brief sketches of proofs and gives attention to the topics of algebraic geometry computers homology and representations. More than merely a succession of definition-theorem-proofs this text put results and ideas in context so that students can appreciate why a certain topic is being studied and where definitions originate. Chapter topics include groups commutative rings modules principal ideal domains algebras cohomology and representations and homological algebra. For individuals interested in a self-study guide to learning advanced algebra and its related topics. Book Info Contains basic definitions complete and clear theorems and gives attention to the topics of algebraic geometry computers homology and representations. For individuals interested in a self-study guide to learning advanced algebra and its related topics. To my wife Marganit and our two wonderful kids Danny and Ella whom I love very .