With a wealth of examples as well as abundant applications to algebra, this is a must-read work: an easy-to-follow, step-by-step guide to homological algebra. The author provides a treatment of homological algebra which approaches the subject in terms of its origins in algebraic topology. In this
An Introduction to Homological Algebra ||
β Scribed by Joseph J. Rotman
- Book ID
- 127453924
- Publisher
- Springer New York
- Year
- 2009
- Tongue
- English
- Weight
- 4 MB
- Series
- Universitext
- Edition
- 2nd ed
- Category
- Library
- City
- New York, NY
- ISBN
- 0387683240
No coin nor oath required. For personal study only.
β¦ Synopsis
Graduate mathematics students will find this book an easy-to-follow, step-by-step guide to the subject. Rotmanβs book gives a treatment of homological algebra which approaches the subject in terms of its origins in algebraic topology. In this new edition the book has been updated and revised throughout and new material on sheaves and cup products has been added. The author has also included material about homotopical algebra, alias K-theory. Learning homological algebra is a two-stage affair. First, one must learn the language of Ext and Tor. Second, one must be able to compute these things with spectral sequences. Here is a work that combines the two.
π SIMILAR VOLUMES
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
This book is designed to be an introduction to some of the basic ideas in the field of algebraic topology. In particular, it is devoted to the foundations and applications of homology theory. The only prerequisite for the student is a basic knowledge of abelian groups and point set topology. The ess
Designed to be an introduction to some of the basic ideas in the field of algebraic topology. Devoted to the foundations and applications of homology theory. DLC: Homology theory.
Homological algebra was developed as an area of study almost 50 years ago, and many books on the subject exist. However, few, if any, of these books are written at a level appropriate for students approaching the subject for the first time.An Elementary Approach to Homological Algebra fills that voi