Overview
- 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
Part of the book series: Universitext (UTX)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (9 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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.
Reviews
Authors and Affiliations
About the author
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.
Bibliographic Information
Book Title: (Mostly) Commutative Algebra
Authors: Antoine Chambert-Loir
Series Title: Universitext
DOI: https://doi.org/10.1007/978-3-030-61595-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Softcover ISBN: 978-3-030-61594-9Published: 01 April 2021
eBook ISBN: 978-3-030-61595-6Published: 08 April 2021
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 1
Number of Pages: XV, 466
Number of Illustrations: 12 b/w illustrations, 6 illustrations in colour
Topics: Algebra, Commutative Rings and Algebras, Field Theory and Polynomials, Linear Algebra, Category Theory, Homological Algebra, Algebraic Geometry