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Catalogue Information
Field name	Details
Dewey Class	512.6
Title	Methods of Homological Algebra ([EBook]) / by Sergei I. Gelfand, Yuri I. Manin.
Author	Gelfand, Sergei I.
Added Personal Name	Manin, Yuri Ivanovich
Other name(s)	SpringerLink (Online service)
Edition statement	Second Edition.
Publication	Berlin, Heidelberg : Springer , 2003.
Physical Details	XX, 372 pages : online resource.
Series	Springer monographs in mathematics 1439-7382
ISBN	9783662124925
Summary Note	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.:
Contents note	I. Simplicial Sets -- II. Main Notions of the Category Theory -- III. Derived Categories and Derived Functors -- IV. Triangulated Categories -- V. Introduction to Homotopic Algebra -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-12492-5
Links to Related Works	Subject References: Category Theory, Homological Algebra . Category theory (Mathematics) . Homological algebra . Mathematics . Authors: author . Gelfand, Sergei I. . Manin, Yuri Ivanovich . See Also: Gelªfand, S. I. (Serge™i Izrailevich) . Gelʹfand, S. I. (Sergeĭ Izrailevich) . Gelʹfand, Sergej I., 1944- . Manin, Jurij I. . Manin, Jurij I., 1937- . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 512.6 .

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Methods of Homological Algebra

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