An Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics) | 
 enlarge | Author: Charles A. Weibel
Publisher: Cambridge University Press
Category: Book
List Price: $50.00
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Rating:  4 reviews
Sales Rank: 465644
Media: Paperback
Pages: 464
Number Of Items: 1
Shipping Weight (lbs): 1.6
Dimensions (in): 9 x 5.9 x 1.3
ISBN: 0521559871
Dewey Decimal Number: 512
EAN: 9780521559874
Publication Date: October 27, 1995
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Product Description
The landscape of homological algebra has evolved over the past 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 is also described. 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 toolkit: simplicial methods, Hochschild and cyclic homology, derived categories and total derived functors.
Book Description
The landscape of homological algebra has evolved over the past half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today, including historical connections with topology, regular local rings, and semi-simple Lie algebras.
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| Customer Reviews:
Deeeep! August 1, 2005
Jason Schorn (Spokane, WA)
10 out of 11 found this review helpful
Now Homological Algebra is not a simple subject that can be picked up with only a minimal background. The subject is deep and permeates many different braches of mathematics. If you are thinking of buying this text, then I have two suggestions. First, just buy it. For the price, you will not find another book that is as up to date or as rich in content. Second, ask yourself if you are really ready for this text? What I would do is use Amazon's "Search Inside" in order to check out the first two or three pages of chapter one. If you feel at home with the material presented there, then just buy it. You will not be upset. Well, you may get upset-this book covers a lot of material and at times can be rather overwhelming. Let me stress that the level of comfort with the preliminary material is analogous to a tenured professors level of comfort with, say, Calculus. That is, very comfortable. With respect to the actual text, I am hard pressed to find any negative words. Weibel has set the modern standard and this text is fast becoming the standard from which all other texts will have to model themselves after. The material is presented in small palatable chunks that can be consumed at any time. Just make sure you have a new pencil and couple notebooks handy when you read this text.
Long Live the Homoligarchy! January 24, 2006
J. Walsh
5 out of 7 found this review helpful
This is by far the most accessible and well-written Homological Algebra book I've dealt with. I'm an analyst at heart, so the subject does not in any way come easy to me. However, the exposition in this book greatly shortened the learning curve, and Dr. Weibel provided a plethora of understandable examples and accessible exercises, all of which greatly aided my understanding of the subject.
Excellent Text March 1, 2007
John W. Robertson
0 out of 1 found this review helpful
This is an excellent book on Homological Algebra. I am surprised at how often I find myself turning to it.
Great homological algebra book! August 26, 1997
Robert Talbert (Mishawaka, Indiana USA)
9 out of 15 found this review helpful
This book was absolutely priceless for me while I was doing my qualifying exams and dissertation. Excellently written, with modern notation and applications and a clearly-exposited writing style. I wish all "hard" math books were written like this. Thanks Prof. Weibel
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