XWe have detected your location as outside the U.S/Canada, if you think this is wrong, you can choose your location.

Macmillan Higher Education Celebrating 20 years of Macmillan Study Skills

Cart

Continue Shopping
All prices are shown excluding Tax
The submitted promocode is invalid
Discount code already used. It can only be used once.
* Applied promocode: ×

Important information on your ebook order

Abstract Algebra

An Introductory Course

Author(s):
Publisher:

Springer

Pages: 301
Further Actions:

Recommend to library

AVAILABLE FORMATS

Paperback - 9783319776484

26 April 2018

$44.99

Free Shipping

In stock

Ebook - 9783319776491

13 April 2018

$34.99

In stock

All prices are shown excluding Tax

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...

Show More

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 introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields. The final part contains applications to public key cryptography as well as classical straightedge and compass constructions.

Explaining key topics at a gentle pace, this book is aimed at undergraduate students. It assumes no prior knowledge of the subject and contains over 500 exercises, half of which have detailed solutions provided.

Show Less

Provides a gentle, yet thorough, introduction to abstract algebra

Includes careful proofs of theorems and numerous worked examples

Written in an informal, readable style

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.
“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 very clear and fluent way within the manuscript. Thus, ‘Abstract Algebra. An Introductory Course’ is obviously a well written document with respect to the field of abstract algebra.” (Diana Maimut, zbMATH 1401.00003, 2019)
Add a review

Gregory T. Lee is a professor at Lakehead University specializing in group rings, a branch of abstract algebra. He has published numerous papers on the subject, as well as a monograph with Springer.

Show More

Gregory T. Lee is a professor at Lakehead University specializing in group rings, a branch of abstract algebra. He has published numerous papers on the subject, as well as a monograph with Springer.

Show Less

New Publications 

Best Sellers