Modern Birkhäuser Classics

Introduction to Commutative Algebra and Algebraic Geometry

Authors: Kunz, Ernst

  • ​Affordable reprint of a classic textbook
  • Presents areas of commutative algebra that are best understood together
  • Includes numerous examples and exercises 
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eBook $34.99
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  • ISBN 978-1-4614-5987-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-1-4614-5986-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
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About this Textbook

Originally published in 1985, this classic textbook is an English translation of Einführung in die kommutative Algebra und algebraische Geometrie. As part of the Modern Birkhäuser Classics series, the publisher is proud to make Introduction to Commutative Algebra and Algebraic Geometry available to a wider audience.

 

Aimed at students who have taken a basic course in algebra, the goal of the text is to present important results concerning the representation of algebraic varieties as intersections of the least possible number of hypersurfaces and—a closely related problem—with the most economical generation of ideals in Noetherian rings. Along the way, one encounters many basic concepts of commutative algebra and algebraic geometry and proves many facts which can then serve as a basic stock for a deeper study of these subjects.

Reviews

From the reviews:

“This book is really a modern classic in the textbook literature in both commutative algebra and algebraic geometry. … Professor Kunz has provided a fairly special and unique introductory textbook of timeless value. Further generations of students and instructors will certainly profit a great deal from this masterpiece of mathematical expository writing.” (Werner Kleinert, Zentralblatt MATH, Vol. 1263, 2013)

An excellent text for a student who wants to learn the basic facts from commutative algebra and algebraic geometry... Many examples and exercises complete the text.

—Revue Roumanie de Mathématiques Pures et Appliquées

 An excellent introduction to the subject... The center of gravity lies in commutative algebra, and this book can serve as a preparation for more advanced topics. The presentation is very clear and the theory is accompanied by numerous interesting exercises...This is a highly recommended text for students and lecturers.

—Mathematica

Outrageous as it may sound this is the first really introductory book written about the new algebraic geometry of the sixties. At last something that we can give our students without cautionary words, and where we ourselves can learn basic concepts that cut across the party lines of mathematics.

—Gian-Carlo Rota in Advances in Mathematics (1991)


Table of contents (7 chapters)

  • Algebraic varieties

    Kunz, Ernst

    Pages 1-38

  • Dimension

    Kunz, Ernst

    Pages 39-62

  • Regular and rational functions on algebraic varieties Localization

    Kunz, Ernst

    Pages 63-92

  • The local-global principle in commutative algebra

    Kunz, Ernst

    Pages 93-122

  • On the number of equations needed to describe an algebraic variety

    Kunz, Ernst

    Pages 123-162

Buy this book

eBook $34.99
price for USA (gross)
  • ISBN 978-1-4614-5987-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.95
price for USA
  • ISBN 978-1-4614-5986-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Commutative Algebra and Algebraic Geometry
Authors
Series Title
Modern Birkhäuser Classics
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-5987-3
DOI
10.1007/978-1-4614-5987-3
Softcover ISBN
978-1-4614-5986-6
Series ISSN
2197-1803
Edition Number
1
Number of Pages
XIII, 238
Topics