Universitext

(Mostly) Commutative Algebra

Authors: Chambert-Loir, Antoine

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  • Very well written text, with good, motivational examples and exercises, both somewhat theoretical as well as more practical, calculatory
  • Includes many well-chosen exercises (of different degrees of difficulty!) that can easily be used as ‘homework’
  • Smooth and logical presentation by a specialist in the area with lots of teaching experience
  • Perfect companion for both undergraduates and graduates
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eBook $44.99
price for USA in USD
  • ISBN 978-3-030-61595-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-030-61594-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this Textbook

This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes). At that level, students have already followed a basic course in linear algebra and are essentially fluent with the language of vector spaces over fields. The topics introduced include arithmetic of rings, modules, especially principal ideal rings and the classification of modules over such rings, Galois theory, as well as an introduction to more advanced topics such as homological algebra, tensor products, and algebraic concepts involved in algebraic geometry.

More than 300 exercises will allow the reader to deepen his understanding of the subject.

The book also includes 11 historical vignettes about mathematicians who contributed to commutative algebra. 

 


About the authors

Antoine Chambert-Loir (1971- ) is Professor of Mathematics at Université de Paris. He previously taught at the École normale supérieure, University Pierre-et-Marie-Curie, École polytechnique, University of Rennes and Université Paris-Sud. Besides coauthoring a 3-volume  book  of exercises in analysis, his books include A Field Guide to Algebra and, as co-author, the prize-winning Motivic Integration.

His current research is in arithmetic geometry.


Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook $44.99
price for USA in USD
  • ISBN 978-3-030-61595-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA in USD
  • ISBN 978-3-030-61594-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
(Mostly) Commutative Algebra
Authors
Series Title
Universitext
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-61595-6
DOI
10.1007/978-3-030-61595-6
Softcover ISBN
978-3-030-61594-9
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XV, 466
Number of Illustrations
12 b/w illustrations, 6 illustrations in colour
Topics