FIRST COURSE IN ABSTRACT ALGEBRA by Rotman, Joseph ISBN 0130115843
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[edit] FIRST COURSE IN ABSTRACT ALGEBRA
Useful for one-semester or two-semester undergraduate courses in Abstract Algebra. The first 3 chapters are a text for a one-semester course; the last 3 chapters are a text for a second semester. This book also contains the fundamental theorem of finite abelian groups, the Sylow theorems, the Jordan-Holder theorem and solvable groups, and more.
For undergraduate and graduate courses in Abstract Algebra. This new edition is more a new book than a revision. The four chapters from the first edition are heavily revised and expanded. Five new chapters (running nearly 100 pages each) on graduate topics have been added. Text now has two years of algebra from which to choose. *Fits both undergraduate and graduate courses. Chapters 1-4 are for an undergraduate course while chapters 5-9 are for a full year of graduate algebra. *Transition chapter to more advanced material. *Includes coverage of categories and functors, free modules, projectives and injectives, as well as applications of Zorn's Lemma. *Presents noncommutative rings, semisimple rings, tensor products, tensor algebras, and exterior algebras. *Introduces Sylow theorem, simple group, free groups and presentations, semidirect products, and the extension problem and its connection with low dimensional group cohomology, among other topics. *Presents Hilbert basis theorem, nullstellensatz, generalized division algorithm and Grobner bases. *Permutations presented before groups. *Groups treated before rings. *Complete and clear proofs.
[edit] Book Details
[edit] Title
FIRST COURSE IN ABSTRACT ALGEBRA
[edit] Author
Rotman, Joseph
[edit] ISBN
0130115843
[edit] Published
28/02/2000
[edit] Publisher
Prentice-Hall
[edit] Binding
hardback
[edit] Retail Price
46.99 (GBP)
[edit] Typical Price Online
46.99 (GBP)
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