- 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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- About this Textbook
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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
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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)
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Rings
Pages 1-53
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Ideals and Divisibility
Pages 55-103
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Modules
Pages 105-156
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Field Extensions
Pages 157-201
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Modules Over Principal Ideal Rings
Pages 203-239
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Table of contents (9 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- (Mostly) Commutative Algebra
- Authors
-
- Antoine Chambert-Loir
- 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
