A Course in Homological Algebra (Graduate Texts in Mathematics (4)) 2nd Edition by Peter J. Hilton (PDF)

Description

Homological algebra has found a large number of applications in many fields ranging from finite and infinite group theory to representation theory, number theory, algebraic topology and sheaf theory. In the new edition of this broad introduction to the field, the authors address a number of select topics and describe their applications, illustrating the range and depth of their developments. A comprehensive set of exercises is included.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I am a retired professor of mathematics. When I retired I got rid of my library and now I am back to rebuying many of the books I rid myself of, including the current one under review. Hilton and Stammbach’s book is quite useful to learn homology from. (I’m not an expert in homology although I have published research in homology,) I prefer MacLane’s Homology if it can be found.

⭐Discussed the homological algebra, as promised.

⭐This book, written by two of the leading experts in the area, is a sound exposition of a very abstract/abtruse subject. The logic is impeccable and the organization nicely done. Algebraic topology is given a rigorous foundation in this book and readers with a background in that subject will appreciate the discussion more. By far the best chapter in the book is the one on exact couples and spectral sequences as it gives proofs that would take a lot of time to find in the original literature. At the time of publication, spectral sequences were viewed as a relatively new tool in homological algebra and readers who are introduced to them might at first find them somewhat esoteric and difficult to master. The authors make their understanding much more palatable as soon as one gets used to the overabundance of diagram chasing.Another chapter that is of great help and receives excellent motivation from the authors is the one on derived functors. Introduced by the authors as the “heart of homological algebra”, it is viewed as a generalization of the extension of modules and the Tor (or “flatness detecting”) functor, which are discussed in detail in chapter 3 of the book. The view of homological algebra in terms of derived functors is extremely important and must be mastered if for example readers are to understand how algebraic topology can be applied to the etale cohomology of algebraic varieties and schemes.

⭐Como regalo fue bueno su precio desorbitado no deja de ser un libro de teorías matematicas

⭐

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