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Methods of Homological Algebra (Springer Monographs in Mathematics) - Hardcover
Book 77 of 187: Springer Monographs in Mathematics
Synopsis
Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn a modern approach to homological algebra and to use it in their work. For the second edition the authors have made numerous corrections.
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Review
From the reviews of the second edition:
"This is the revised edition of a modern approach to homological algebra by two leading writers in the field. It is based on the systematic use of the language and technics of derived categories and derived functors. The reader has all the basic material and a lot of examples ... . This book can be used by students just beginning to study homological algebra, as well as by specialists who will find there some points which have never been clarified in the literature." (Jean-Claude Thomas, Belgian Mathematical Society – Simon Stevin Bulletin, Vol. 10 (2), 2003)
"It is a pleasure to have on the desk this second edition from a new classical text in mathematics. ... this text has to be seen as part of the general process of unification in mathematics." (Bernd Richter, Zentralblatt MATH, Vol. 1006, 2003)
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International Edition
Methods of Homological Algebra, 2nd edition
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Secaucus, New Jersey, U.S.A.: Springer Verlag, 2003
ISBN 10: 3540435832
ISBN 13: 9783540435839
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Soft cover. Condition: New. Dust Jacket Condition: New. International Edition. **International edition** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Seller Inventory # ABE-9115615751
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Methods of Homological Algebra
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Methods of Homological Algebra Second Edition
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Condition: New. *Price HAS BEEN REDUCED by 10% until Monday, Aug. 31 (sale item)* 2010s printing of the 2nd edition, 372 pp., Hardcover, NEW!! - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1350309
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Methods of Homological Algebra (Springer Monographs in Mathematics)
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Methods of Homological Algebra
Published by
Springer-Verlag, New York, NY, 2003
ISBN 10: 3540435832
ISBN 13: 9783540435839
Used
Hardcover
First Edition
Seller: Black Cat Hill Books, Oregon City, OR, U.S.A.
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Hardcover. Condition: Near Fine. Second Edition; 1st Printing Thus. Near Fine: The Book shows a small bump at the bottom edge of the rear panel and mild nudges to the upper corner tips; several rather superficial scratches to the front panel; the binding is square and secure; the text is clean. Free of creased or dog-eared pages in the text. Free of any underlining, hi-lighting or marginalia or marks in the text. Free of ownership names, dates, addresses, notations, inscriptions, stamps, or labels. A handsome, nearly-new copy, tightly bound, showing minor, unobtrusive imperfections only. No DJ as issued: Laminate boards. NOT a Remainder, Book-Club, or Ex-Library. Large 8vo (9.5 x 6.5 x 1.15 inches). Language: English. Weight: 26.5 ounces. The first edition was published in 1997. Hardcover: Laminate Boards. This modern approach to homological algebra by two leading writers in the field is based on the systematic use of the language and ideas of derived categories and derived functors. It describes relations with standard cohomology theory and provides complete proofs. Coverage also presents basic concepts and results of homotopical algebra. This second edition contains numerous corrections. Homological algebra is one of those subjects that in order to understand it, you need to know it already. Category theory wouldn't hurt either, nor some algebraic geometry and algebraic topology. Unfortunately, you need to know homological algebra to do some of these things as well. The great strength of Gelfand and Manin's work is that it ties together examples from all of these areas and coherently integrates them into some of the best mathematical prose I've ever read. The book is recent enough that its authors write from a position of vast perspective on fifty years of research, and the subject as they present it is about as up-to-date as possible, yet cleanly developed and not overwhelming. Unlike many books whose subject matter was influenced by modern algebraic geometry, this one does not merely pay lip service to standard references on its vast prerequisites, but systematically develops them (specifically, the ideas of category theory and abelian categories) in an entire, large chapter. ; Springer Monographs in Mathematics; Vol. 188; Large 8vo 9" - 10" tall; xx, 372 pages. Seller Inventory # 59302
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Methods of Homological Algebra
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Methods of Homological Algebra
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Methods of Homological Algebra
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Methods of Homological Algebra
Published by
Springer Berlin Heidelberg Nov 2002, 2002
ISBN 10: 3540435832
ISBN 13: 9783540435839
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Hardcover
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Homological algebra first arose as a language for describing topological prospects of geometrical objects. As with every successful language it quickly expanded its coverage and semantics, and its contemporary applications are many and diverse. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived categories and derived functors. Relations with standard cohomology theory (sheaf cohomology, spectral sequences, etc.) are described. In most cases complete proofs are given. Basic concepts and results of homotopical algebra are also presented. The book addresses people who want to learn a modern approach to homological algebra and to use it in their work. For the second edition the authors have made numerous corrections. 396 pp. Englisch. Seller Inventory # 9783540435839