An introduction to homological algebra
The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings and semi-simple Lie algebras are also described. This book is suitable for second- or third-year undergraduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived funct…
Read More ↓Title Statements
- Full title :An introduction to homological algebra / Charles A. Weibel.
Summary
The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings and semi-simple Lie algebras are also described. This book is suitable for second- or third-year undergraduate students. The first half of the book takes as its subject the canonical topics in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cohomology, Galois cohomology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern homological tool-kit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors. By making these tools more accessible, the book helps to break down the technological barrier between experts and casual users of homological algebra.
Read More ↓Edition Statements
- Publication Date:1995.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge [England]
- Language:eng
- Publication Date:1995.
The Physical Object
- Description:xiv, 450 pages : : illustrations ; : 24 cm
Edition Identifiers
- ISBN:0521559871, 9780521559874, 0521435005, 9780521435000
- oclc:ocm36131259
- LC Classification:QA169
- Dewey Decimal:512.55
Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Symbolic computation and automated reasoning
Storia dell'algebra
Essential Linear Algebra with Applications: A Problem-Solving Approach
Andreescu, Titu
Files & Downloads
-
An introduction to homological algebra -- (.djvu)
DJVU · 2.4 MB · updated -
An Introduction to Homological Algebra -- (.djvu)
DJVU · 4.9 MB · updated -
An Introduction to Homological Algebra -- (.pdf)
PDF · 17.8 MB · updated -
An Introduction to Homological Algebra -- (.djvu)
DJVU · 2.4 MB · updated
Rate & Review