Commutative Algebra: with a View Toward Algebraic Geometry (Graduate Texts in Mathematics) - With a View Toward Algebraic Geometry - David Eisenbud (1999)
ISBN 9780387942698
Subject Commutative algebra; Geometry, Algebraic
Publisher Springer
Publication Date 2/11/1999
Format Paperback (234 x 155 mm)
Language English
Commutative Algebra is best understood with knowledge of the geometric ideas that have played a great role in its formation, in short, with a view towards algebraic geometry. The author presents a comprehensive view of commutative algebra, from basics, such as localization and primary decomposition, through dimension theory, differentials, homological methods, free resolutions and duality, emphasizing the origins of the ideas and their connections with other parts of mathematics. Many exercises illustrate and sharpen the theory and extended exercises give the reader an active part in complementing the material presented in the text. One novel feature is a chapter devoted to a quick but thorough treatment of Grobner basis theory and the constructive methods in commutative algebra and algebraic geometry that flow from it. Applications of the theory and even suggestions for computer algebra projects are included. This book will appeal to readers from beginners to advanced students of commutative algebra or algebraic geometry. To help beginners, the essential ideals from algebraic geometry are treated from scratch. Appendices on homological algebra, multilinear algebra and several other useful topics help to make the book relatively self- contained. Novel results and presentations are scattered throughout the text.
Personal Details
Collection Status In Collection
Index 1820
Read It Yes
Loaned To John Samples
Loan Date 7/24/2012
Due Date 4/25/2013
Overdue Yes
Links Amazon US
Barnes & Noble
Amazon UK
Product Details
LoC Classification QA251.3.E38 1995
Dewey 512/.24
Cover Price $49.95
No. of Pages 797