Encyclopaedia of Mathematical Sciences

Homological Algebra

Authors: Gelfand, S.I., Manin, Yu.I.

Editors: Kostrikin, A.I., Shafarevich, I.R. (Eds.)

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  • ISBN 978-3-642-57911-0
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Hardcover $159.00
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  • ISBN 978-3-540-53373-3
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About this book

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.

Table of contents (9 chapters)

  • Introduction

    Kostrikin, A. I. (et al.)

    Pages 4-7

  • Complexes and Cohomology

    Kostrikin, A. I. (et al.)

    Pages 8-21

  • The Language of Categories

    Kostrikin, A. I. (et al.)

    Pages 22-52

  • Homology Groups in Algebra and in Geometry

    Kostrikin, A. I. (et al.)

    Pages 52-86

  • Derived Categories and Derived Functors

    Kostrikin, A. I. (et al.)

    Pages 86-120

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-642-57911-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-540-53373-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $69.99
price for USA
  • ISBN 978-3-540-65378-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Homological Algebra
Authors
Editors
  • A.I. Kostrikin
  • I.R. Shafarevich
Translated by
Manin, Y.I., Gelfand, S.I.
Series Title
Encyclopaedia of Mathematical Sciences
Series Volume
38
Copyright
1994
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-57911-0
DOI
10.1007/978-3-642-57911-0
Hardcover ISBN
978-3-540-53373-3
Softcover ISBN
978-3-540-65378-3
Series ISSN
0938-0396
Edition Number
1
Number of Pages
V, 222
Additional Information
Original Russian edition published by VINITI, Moscow, 1989 Originally published as Vol. 38 in the series: Encyclopaedia of Mathematical Sciences.
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