| An Introduction to Homological Algebra Contributor(s): Rotman, Joseph J. (Author) |
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ISBN: 0125992505 ISBN-13: 9780125992503 Publisher: Academic Press OUR PRICE: $72.22 Product Type: Hardcover - Other Formats Published: June 1979 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Linear - Mathematics | Topology - General |
| Dewey: 512.55 |
| LCCN: 78020001 |
| Series: Pure and Applied Mathematics (Academic Press) |
| Physical Information: 1.33" H x 6.34" W x 9.26" (1.70 lbs) 400 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: An Introduction to Homological Algebra discusses the origins of algebraic topology. It also presents the study of homological algebra as a two-stage affair. First, one must learn the language of Ext and Tor and what it describes. Second, one must be able to compute these things, and often, this involves yet another language: spectral sequences. Homological algebra is an accessible subject to those who wish to learn it, and this book is the author's attempt to make it lovable. This book comprises 11 chapters, with an introductory chapter that focuses on line integrals and independence of path, categories and functors, tensor products, and singular homology. Succeeding chapters discuss Hom and Ⓧ; projectives, injectives, and flats; specific rings; extensions of groups; homology; Ext; Tor; son of specific rings; the return of cohomology of groups; and spectral sequences, such as bicomplexes, Kunneth Theorems, and Grothendieck Spectral Sequences. This book will be of interest to practitioners in the field of pure and applied mathematics. |