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Author Shafarevich, I. R. (Igorʹ Rostislavovich), 1923-2017.
Title Basic notions of algebra / Igor R. Shafarevich.
Imprint Berlin ; New York : Springer, 2005.

LOCATION CALL # STATUS MESSAGE
 OHIOLINK SPRINGER EBOOKS    ONLINE  
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Author Shafarevich, I. R. (Igorʹ Rostislavovich), 1923-2017.
Series Encyclopaedia of mathematical sciences, 0938-0396 ; v. 11
Encyclopaedia of mathematical sciences ; v. 11. 0938-0396
Subject Algebra.
Alt Name Shafarevich, I. R. (Igorʹ Rostislavovich), 1923-2017. Algebra 1.
Alternate Title Algebra 1.
LOCATION CALL # STATUS MESSAGE
 OHIOLINK SPRINGER EBOOKS    ONLINE  
View online
Author Shafarevich, I. R. (Igorʹ Rostislavovich), 1923-2017.
Series Encyclopaedia of mathematical sciences, 0938-0396 ; v. 11
Encyclopaedia of mathematical sciences ; v. 11. 0938-0396
Subject Algebra.
Alt Name Shafarevich, I. R. (Igorʹ Rostislavovich), 1923-2017. Algebra 1.
Alternate Title Algebra 1.
Description 1 online resource (258 pages) : illustrations.
polychrome rdacc
Bibliography Note Includes bibliographical references (pages 244-248)-and indexes.
Contents What is Algebra?; Fields; Commutative Rings; Homomorphisms and Ideals; Modules; Algebraic Aspects of Dimension; The Algebraic View of Infinitesimal Notions; Noncommutative Rings; Modules over Noncommutative Rings; Semisimple Modules and Rings; Division Algebras of Finite Rank; The Notion of a Group; Examples of Groups: Finite Groups; Examples of Groups: Infinite Discrete Groups; Examples of Groups: Lie Groups and Algebraic Groups; General Results of Group Theory; Group Representations; Some Applications of Groups; Lie Algebras and Nonassociative Algebra; Categories; Homological Algebra.
Summary This book is wholeheartedly recommended to every student or user of mathematics. Although the author modestly describes his book as 'merely an attempt to talk about' algebra, he succeeds in writing an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields, commutative rings and groups studied in every university math course, through Lie groups and algebras to cohomology and category theory, the author shows how the origins of each algebraic concept can be related to attempts to model phenomena in physics or in other branches.
Note English.
Print version record.
ISBN 9783540264743
3540264744
3540251774
9783540251774
9783540612216
3540612211
ISBN/ISSN 10.1007/b137643
OCLC # 209869067
Link Springer e-books
Additional Format Print version: Shafarevich, I.R. (Igor Rostislavovich), 1923- Basic notions of algebra. Berlin ; New York : Springer, 2005 3540251774 9783540251774 (OCoLC)61164882


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