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Basic notions of algebra

Author: I R Shafarevich
Publisher: Berlin ; New York : Springer, ©2005.
Series: Encyclopaedia of mathematical sciences, v. 11.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Publication:Springer e-books
Database:WorldCat
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Shafarevich, I.R. (Igorʹ Rostislavovich), 1923-
Basic notions of algebra.
Berlin ; New York : Springer, ©2005
(OCoLC)61164882
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: I R Shafarevich
ISBN: 9783540264743 3540264744 3540251774 9783540251774 9783540612216 3540612211
OCLC Number: 209869067
Notes: English ed. originally published in 1990 as: Algebra I.
Description: 1 online resource (258 pages) : illustrations.
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.
Series Title: Encyclopaedia of mathematical sciences, v. 11.
Other Titles: Algebra 1.
Responsibility: Igor R. Shafarevich.

Abstract:

Offers an informative view on algebra and its place in modern mathematics and science. This book shows how the origins of each algebraic concept can be related to attempts to model phenomena in  Read more...

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From the reviews: "This is one of the few mathematical books, the reviewer has read from cover to cover ... The main merit is that nearly on every page you will find some unexpected insights..." Read more...

 
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