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Abstract algebra : an introductory course

Author: Gregory T Lee
Publisher: Cham : Springer, 2018.
Series: Springer undergraduate mathematics series
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major algebraic structure, the group, progressing as far as the Sylow theorems and the classification of finite abelian groups. An  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
(OCoLC)1022779564
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Gregory T Lee
ISBN: 9783319776491 3319776495
OCLC Number: 1034541125
Description: 1 online resource (xi, 301 pages) : illustrations
Contents: Part I Preliminaries --
1 Relations and Functions --
2 The Integers and Modular Arithmetic --
Part II Groups --
3 Introduction to Groups --
4 Factor Groups and Homomorphisms --
5 Direct Products and the Classification of Finite Abelian Groups --
6 Symmetric and Alternating Groups --
7 The Sylow Theorems --
Part III Rings --
8 Introduction to Rings --
9 Ideals, Factor Rings and Homomorphisms --
10 Special Types of Domains --
Part IV Fields and Polynomials --
11 Irreducible Polynomials --
12 Vector Spaces and Field Extensions --
Part V Applications --
13 Public Key Cryptography --
14 Straightedge and Compass Constructions --
A The Complex Numbers --
B Matrix Algebra --
Solutions --
Index.
Series Title: Springer undergraduate mathematics series
Responsibility: Gregory T. Lee.

Abstract:

This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. An introduction to ring theory follows, leading to a  Read more...

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"The book provides the reader with valuable technical information regarding the introductory notions and main results of abstract algebra. The author presents concepts, theorems and applications in a Read more...

 
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