Commutative Algebra: with a View Toward Algebraic Geometry

Graduate Texts in Mathematics #150

by David Eisenbud

This is a comprehensive review of commutative algebra, from localization and primary decomposition through dimension theory, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. The book gives a concise treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Many exercises included.

Genres: Mathematics, Algebra, Textbooks, Geometry

816 pages, Paperback

First published March 30, 1995

Reviews

[Geoffrey Lee · Rating 3 out of 5]

This book seems to be highly non-self contained, by that I mean it seems to assume a prior knowledge of some basic Algebra. There are way too many typos in it and many of them in homework problems >.<

[Mike · Rating 5 out of 5]

Commutative algebra has been very rightly considered the most-difficult general field of math and thus is one that is in especial need of good texts for the advanced student. By "good", such a text needs to both be written in clear prose and able to address its topics head-on, but also must be able to inter-relate its topics to other issues in maths that could be germane to further inquiry on the part of the reader. This text meets all the above goals in a masterful manner.

[D.]

Commutative algebra with a view toward algebraic geometry by David. Eisenbud (1995)