(Mostly) Commutative Algebra

By:

Antoine Chambert-Loir

Format:

Paperback / softback

Series:

Universitext

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Description

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.

Author Biography:

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.

Release date Australia

April 1st, 2021

Author

Antoine Chambert-Loir

Audiences

Postgraduate, Research & Scholarly
Undergraduate

Edition

1st ed. 2021

Illustrations

6 Illustrations, color; 12 Illustrations, black and white; XV, 466 p. 18 illus., 6 illus. in color.

Pages

466

Series

Universitext

ISBN-13

9783030615949

Product ID

33906721

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