An introduction to homological algebra |  | Author: D. G Northcott
Publisher: University Press
Category: Book
Buy Used: $45.99
Rating:  2 reviews
Sales Rank: 1838652
Media: Hardcover
Pages: 282
Publication Date: 1966
Availability: Usually ships in 1-2 business days
Shipping: Expedited shipping available
Shipping: International shipping available
Condition: CLEAN, TIGHT AND UNMARKED. LIGHT DJ WEAR.
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| Editorial Reviews:
Product Description
Homological algebra, because of its fundamental nature, is relevant to many branches of pure mathematics, including number theory, geometry, group theory and ring theory. Professor Northcott's aim is to introduce homological ideas and methods and to show some of the results which can be achieved. The early chapters provide the results needed to establish the theory of derived functors and to introduce torsion and extension functors. The new concepts are then applied to the theory of global dimensions, in an elucidation of the structure of commutative Noetherian rings of finite global dimension and in an account of the homology and cohomology theories of monoids and groups. A final section is devoted to comments on the various chapters, supplementary notes and suggestions for further reading. This book is designed with the needs and problems of the beginner in mind, providing a helpful and lucid account for those about to begin research, but will also be a useful work of reference for specialists. It can also be used as a textbook for an advanced course.
Book Description
Homological algebra, because of its fundamental nature, is relevant to many branches of pure mathematics, including number theory, geometry, group theory and ring theory. Professor Northcott's aim is to introduce homological ideas and methods and to show some of the results which can be achieved.
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| Customer Reviews:
 still one of the best November 2, 2007
wy-reader (USA)
This book was first published in 1960. It is one of the first few to appear that treated a very abstract subject matter but whose applications are numerous (number thepory, algebraic geometry, topology, group theory, ring theory, etc.). It took a couple of decades to see the full potential of homological algebra.
Author is a very good writer; theorems are clearly stated and most of them proved. The author has another text called A First Course of Homological Algebra, which I think is a bit better and a bit more modern.
Nonetheless, this is a valuable text, even today, after more than 40 years of its first appearance.
 Avoid this book by this author like the plague! January 21, 2007
R. Bagula (Lakeside, Ca United States)
0 out of 2 found this review helpful
This book may be one of the worst written texts I've seen
on a very difficult abstraction of algebra and topology.
I don't have a real desire to read it further
but I'm getting an idea of the subject
( not a lot of thanks to the way it was written).
I went online and read Mathworld definitions for some of the terms and that helped.
I don't know if there is any application to this besides maybe some number theory ones that are almost as abstract.
If you took a course where this was the text, I can only say,
I'm very sorry.
How Mathematics managed to get this far removed from reality is hard to say?
It is ironic that the son of Eli Cartan who is the creator of some of the most useful algebra/ group theory
should be the sponsor of this homological algebra.
With no problems and no examples there is no way to get context for a student , much less understanding.
Avoid books by this author like the plague!
He's still writing and may have improved some, but anyone who published this has to be really numb.
There really should be a zero stars for books like this one.
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