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Universitext Ser.: (Mostly) Commutative Algebra by Antoine Chambert-Loir (2021, Trade Paperback)
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Sk1drow Books (2028)
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About this product
Product Identifiers
PublisherSpringer International Publishing A&G
ISBN-103030615944
ISBN-139783030615949
eBay Product ID (ePID)26050409555
Product Key Features
Number of PagesXv, 466 Pages
Publication Name(Mostly) Commutative Algebra
LanguageEnglish
SubjectAlgebra / Abstract, Algebra / Linear, General, Algebra / General
Publication Year2021
TypeTextbook
Subject AreaMathematics
AuthorAntoine Chambert-Loir
SeriesUniversitext Ser.
FormatTrade Paperback
Dimensions
Item Weight25.9 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Dewey Edition23
Reviews"This book on commutative algebra is more accessible for undergraduate student than the classical introductory books on this topic. ... The author has made a special effort in explaining carefully the definitions and presenting many clarifying examples. ... Each chapter ends with a large selection of exercises of different levels. ... This book is a gentle introduction ... that it will very useful for students and teachers in this area. Moreover, it suggests several new directions for deeper study." (Blas Torrecillas, zbMATH 1477.13001, 2022)
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal512.44
Table Of ContentPreface.- 1 Rings.- 2 Ideals and divisibility.- 3 Modules.- 4 Field extensions.- 5 Modules over principal ideal rings.- 6 Noetherian and artinian rings. Primary decomposition.- 7 First steps in homological algebra.- 8 Tensor products and determinants.- 9 Commutative algebra: the normalization theorem, dimension theory, Dedekind rings.- Appendix.- References.- Index.-
SynopsisThis 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.
LC Classification NumberQA150-272
