FreeComputerBooks.com
Links to Free Computer, Mathematics, Technical Books all over the World


 Title: Elementary Abstract Algebra: Examples and Applications
 Author(s) Justin Hill, Chris Thron
 Publisher: lulu.com (May 12, 2015); Texas A&M University (2016)
 Hardcover/Paperback: 484 pages
 eBook: HTML and PDF (992 pages)
 Language: English
 ISBN10/ASIN: 1312856351
 ISBN13: 9781312856356
 Share This:
Book Description
This textbook introduces the basic notions of group theory by a thorough treatment of important examples, including complex numbers, modular arithmetic, symmetries, and permutations. Also included are applications to communications, cryptography, and coding theory.
This book is our best effort at making "Abstract Algebra" as downto earth as possible. We use concrete mathematical structures such as the complex numbers, integers mod n, symmetries, and permutations to introduce some of the beautifully general ideas of group theory. Along the way, we give applications to signal processing, cryptography and coding theory, and we draw connections with other branches of mathematics such as geometry and number theory.
About the Authors Christopher Thron is an Assistant Professor at Department of Mathematics, Texas A&M University.
 Algebra, Abstract Algebra, and Linear Algebra
 Number Theory
 Elementry and High School Mathematics
 Mathematics
 Elementary Abstract Algebra: Examples and Applications (Justin Hill, et al.)
 The Mirror Site (1)  PDF
 The Mirror Site (2)  PDF
 The Mirror Site (3)  PDF
 Book Homepage

Algebra: Abstract and Concrete (Frederick M. Goodman)
This introduction to modern or abstract algebra addresses the conventional topics of groups, rings, and fields with symmetry as a unifying theme, while it introduces readers to the active practice of mathematics.

Abstract Algebra: Theory and Applications (Thomas W Judson)
This book is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many nontrivial applications.

Basic Abstract Algebra (Robert B. Ash)
This book surveys fundamental algebraic structures and maps between these structures. Its techniques are used in many areas of mathematics, with applications to physics, engineering, and computer science as well.

Set Theoretic Approach to Algebraic Structures in Mathematics
This book brings out how sets in algebraic structures can be used to construct the most generalized algebraic structures, like set linear algebra / vector space, set ideals in groups and rings and semigroups, and topological set vector spaces.

Advanced Algebra (Anthony W. Knapp)
This book is on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry.

Algebra: A Classical Approach (Jon Blakely)
This book provides a complete and contemporary perspective on classical polynomial algebra through the exploration of how it was developed and how it exists today, with discrete explanations from functions to quadratic and linear equations, etc.

Linear Algebra (Jim Hefferon)
This textbook covers linear systems and Gauss' method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Each chapter has three or four discussions of additional topics and applications.

Algebra: A Computational Introduction (John Scherk)
This book is a unique approach and presentation, the author demonstrates how software can be used as a problemsolving tool for algebra. It includes many computations, both as examples and as exercises.

A Computational Introduction to Number Theory and Algebra
This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. It covers the basics of number theory, abstract algebra and discrete probability theory.

Fundamentals of Matrix Algebra (Gregory Hartman)
A college (or advanced high school) level text dealing with the basic principles of matrix and linear algebra. It covers solving systems of linear equations, matrix arithmetic, the determinant, eigenvalues, and linear transformations.

Computational Linear Algebra and Ndimensional Geometry
This undergraduate textbook on Linear Algebra and nDimensional Geometry, in a selfteaching style, is invaluable for sophomore level undergraduates in mathematics, engineering, business, and the sciences.
:






















