| A Course in Homological Algebra 1997 Edition Contributor(s): Hilton, Peter J. (Author), Stammbach, Urs (Author) |
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ISBN: 0387948236 ISBN-13: 9780387948232 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: January 1997 Annotation: This classic book provides a broad introduction to homological algebra, including a comprehensive set of exercises. Since publication of the first edition homological algebra has found a large number of applications in many different fields. Today, it is a truly indispensable tool in fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. In this new edition, the authors have selected a number of different topics and describe some of the main applications and results to illustrate the range and depths of these developments. The background assumes little more than knowledge of the algebraic theories groups and of vector spaces over a field. |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - General |
| Dewey: 512.55 |
| LCCN: 96024224 |
| Series: Graduate Texts in Mathematics |
| Physical Information: 0.88" H x 6.27" W x 9.45" (1.49 lbs) 366 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: We have inserted, in this edition, an extra chapter (Chapter X) entitled "Some Applications and Recent Developments." The first section of this chapter describes how homological algebra arose by abstraction from algebraic topology and how it has contributed to the knowledge of topology. The other four sections describe applications of the methods and results of homological algebra to other parts of algebra. Most of the material presented in these four sections was not available when this text was first published. Naturally, the treatments in these five sections are somewhat cursory, the intention being to give the flavor of the homo- logical methods rather than the details of the arguments and results. We would like to express our appreciation of help received in writing Chapter X; in particular, to Ross Geoghegan and Peter Kropholler (Section 3), and to Jacques Thevenaz (Sections 4 and 5). The only other changes consist of the correction of small errors and, of course, the enlargement of the Index. Peter Hilton Binghamton, New York, USA Urs Stammbach Zurich, Switzerland Contents Preface to the Second Edition vii Introduction. . I. Modules. |