Commutative Algebra (Paperback)
Language: English
Published by Springer-Verlag New York Inc., New York, NY, 1995
- First Edition
- Softcover
- New
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail
AbeBooks seller since October 12, 2005
Condition: New
£ 60.12
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Add to basketItem description from seller
Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…
Seller Inventory # 9780387942698
- Title
- Commutative Algebra (Paperback)
- Author
- David Eisenbud
- Publisher
- Springer-Verlag New York Inc., New York, NY
- Publication year
- 1995
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0387942696
- ISBN 13
- 9780387942698
- Edition
- 1st Edition
- Series
- Book 21 of 180: Graduate Texts in Mathematics
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.
"Synopsis" may belong to another edition of this title.
Review
D. Eisenbud
Commutative Algebra with a View Toward Algebraic Geometry
"This text has personality―Those familiar with Eisenbud"s own research will recognize its traces in his choice of topics and manner of approach. The book conveys infectious enthusiasm and the conviction that research in the field is active and yet accessible."―MATHEMATICAL REVIEWS
"About the title" may belong to another edition of this title.
Grand Eagle Retail
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AbeBooks seller since October 12, 2005
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