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Graduate Texts in Mathematics

Commutative Algebra

with a View Toward Algebraic Geometry

Authors: Eisenbud, David

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  • ISBN 978-1-4612-5350-1
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About this Textbook

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.

Reviews

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


Table of contents (23 chapters)

Table of contents (23 chapters)

Buy this book

eBook 32,09 €
price for Spain (gross)
  • ISBN 978-1-4612-5350-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 83,15 €
price for Spain (gross)
  • ISBN 978-0-387-94268-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 41,55 €
price for Spain (gross)
  • ISBN 978-0-387-94269-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Commutative Algebra
Book Subtitle
with a View Toward Algebraic Geometry
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
150
Copyright
1995
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-5350-1
DOI
10.1007/978-1-4612-5350-1
Hardcover ISBN
978-0-387-94268-1
Softcover ISBN
978-0-387-94269-8
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XVI, 800
Topics

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