000			01820nam a22002297a 4500
003			OSt
005			20240923163237.0
008			190408b ||||| |||| 00| 0 eng d
020			_a9783540653783
040			_cTata Book House _aICTS-TIFR
050			_aQA169
245			_aAlgebra V _b: homological algebra
260			_aHeidelberg: _bSpringer-Verlag, _c[c1994]
300			_a222 p
490			_a Encyclopaedia of Mathematical Sciences _vVolume 38
505			_aIntroduction 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
520			_aThis 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. --- summary provided by publisher
700			_aEdited by A. I. Kostrikin
700			_aI. R. Shafarevich
856			_uhttps://link.springer.com/book/10.1007/978-3-642-57911-0
942			_2lcc _cBK
999			_c2603 _d2603