---

＜電子ブック＞
Homological Algebra / by S.I. Gelfand, Yu.I. Manin ; edited by A.I. Kostrikin, I.R. Shafarevich
(Encyclopaedia of Mathematical Sciences ; 38)

版	1st ed. 1994.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1994
本文言語	英語
大きさ	V, 222 p : online resource
著者標目	*Gelfand, S.I author Manin, Yu.I author Kostrikin, A.I editor Shafarevich, I.R editor SpringerLink (Online service)
件　名	LCSH:K-theory LCSH:Algebraic geometry LCSH:Algebraic topology FREE:K-Theory FREE:Algebraic Geometry FREE:Algebraic Topology
一般注記	1. 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 This 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 HTTP:URL=https://doi.org/10.1007/978-3-642-57911-0

 類似資料