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Encyclopaedia of Mathematical Sciences Ser.: Homological Algebra by Yu. I. Manin and S. I. Gelfand (1999, Trade Paperback)
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About this product
Product Identifiers
PublisherSpringer Berlin / Heidelberg
ISBN-103540653783
ISBN-139783540653783
eBay Product ID (ePID)221913
Product Key Features
Number of PagesV, 222 Pages
LanguageEnglish
Publication NameHomological Algebra
SubjectAlgebra / Abstract, Topology, Geometry / Algebraic
Publication Year1999
TypeTextbook
Subject AreaMathematics
AuthorYu. I. Manin, S. I. Gelfand
SeriesEncyclopaedia of Mathematical Sciences Ser.
FormatTrade Paperback
Dimensions
Item Height0.2 in
Item Weight12.9 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
Series Volume Number38
Number of Volumes1 vol.
IllustratedYes
Table Of Content1. Complexes and Cohomology.- 2. The Language of Categories.- 3. Homology Groups in Algebra and in Geometry.- 4. Derived Categories and Derived Functors.- 5. Triangulated Categories.- 6. Mixed Hodge Structures.- 7. Perverse Sheaves.- 8. D-Modules.- References.- Author Index.
SynopsisThis book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the terminology and ideas of derived categories and derived functors. The book contains applications of homological algebra to the theory of sheaves on topological spaces, to Hodge theory, and to the theory of modules over rings of algebraic differential operators (algebraic D-modules). The authors Gelfand and Manin explain all the main ideas of the theory of derived categories. Both authors are well-known researchers and the second, Manin, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology., This book presents a modern approach to homological algebra together with some important applications in algebraic geometry and algebraic topology. The authors Gel'fand and Manin are well-known researchers and Manin, in particular, is famous for his work in algebraic geometry and mathematical physics. The book is an excellent reference for graduate students and researchers in mathematics and also for physicists who use methods from algebraic geometry and algebraic topology.
LC Classification NumberQA612.33
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