Edition 
Second edition 
Descript 
1 online resource (xx, 374 pages) 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 
Series 
Springer Monographs in Mathematics, 14397382


Springer monographs in mathematics

Note 
I. Simplical Sets  II. Main Notions of the Category Theory  III. Derived Categories and Derived Functors  IV. Triangulated Categories  V. Introduction to Homotopic Algebra 

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 
Link 
Print version: 9783642078132

Subject 
Mathematics


Algebra


Electronic books

Alt Author 
Manin, Yuri I

