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Undergraduate Algebra: A Unified Approach
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Catalogue Information
Field name
Details
Dewey Class
512.46
Title
Undergraduate Algebra ([EBook]) : A Unified Approach / by Matej Brešar.
Author
Brešar, Matej
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2019.
Publication
Cham : Springer International Publishing , 2019.
Physical Details
XXIV, 316 pages, 17 illus. : online resource.
Series
Springer undergraduate mathematics series
ISBN
9783030140533
Summary Note
This textbook offers an innovative approach to abstract algebra, based on a unified treatment of similar concepts across different algebraic structures. This makes it possible to express the main ideas of algebra more clearly and to avoid unnecessary repetition. The book consists of two parts: The Language of Algebra and Algebra in Action. The unified approach to different algebraic structures is a primary feature of the first part, which discusses the basic notions of algebra at an elementary level. The second part is mathematically more complex, covering topics such as the Sylow theorems, modules over principal integral domains, and Galois theory. Intended for an undergraduate course or for self-study, the book is written in a readable, conversational style, is rich in examples, and contains over 700 carefully selected exercises.:
Contents note
Preface -- 1 Glossary of Basic Algebraic Structures -- 2 Examples of Groups and Rings -- 3 Homomorphisms -- 4 Quotient Structures -- 5 Commutative Rings -- 6 Finite Groups -- 7 Field Extensions -- Frequently Used Symbols -- Index. .
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-14053-3
Links to Related Works
Subject References:
Algebra
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Algebras, Linear
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Associative rings
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Associative Rings and Algebras
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Commutative algebra
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Commutative rings
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Commutative Rings and Algebras
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Field theory (Physics)
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Group theory
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Rings (Algebra)
.
Authors:
author
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Brešar, Matej
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Corporate Authors:
SpringerLink (Online service)
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Series:
Springer undergraduate mathematics series
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Classification:
512.46
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