## e-books in Introductory Abstract Algebra category

**Abstract Algebra for Polynomial Operations**

by

**Maya Mohsin Ahmed**,

**2009**

The focus of this book is applications of Abstract Algebra to polynomial systems. It explores basic problems like polynomial division, solving systems of polynomials, formulas for roots of polynomials, counting integral roots of equations, etc.

(

**3537**views)

**Advanced Algebra**

by

**Anthony W. Knapp**-

**BirkhĂ¤user**,

**2016**

This book includes chapters 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.

(

**3150**views)

**Basic Algebra**

by

**Anthony W. Knapp**,

**2016**

Contents: Preliminaries about the Integers, Polynomials, and Matrices; Vector Spaces over Q, R, and C; Inner-Product Spaces; Groups and Group Actions; Theory of a Single Linear Transformation; Multilinear Algebra; Advanced Group Theory; etc.

(

**4360**views)

**Elementary Abstract Algebra: Examples and Applications**

by

**Justin Hill, Chris Thron**-

**Texas A&M University**,

**2017**

This book is our best effort at making Abstract Algebra as down-to earth as possible. We use concrete mathematical structures such as the complex numbers, integers mod n, symmetries to introduce some of the beautifully general ideas of group theory.

(

**3503**views)

**Introduction to Abstract Algebra**

by

**D. S. Malik, John N. Mordeson, M.K. Sen**-

**Creighton University**,

**2007**

This book is intended for a one-year introductory course in abstract algebra with some topics of an advanced level. We give a rigorous treatment of the fundamentals of abstract algebra with numerous examples to illustrate the concepts.

(

**7431**views)

**Notes on Algebraic Structures**

by

**Peter J. Cameron**-

**Queen Mary, University of London**,

**2006**

After a short introductory chapter consisting mainly of reminders about such topics as functions, equivalence relations, matrices, polynomials and permutations, the notes fall into two chapters, dealing with rings and groups respectively.

(

**5762**views)

**Ten Chapters of the Algebraical Art**

by

**Peter J. Cameron**-

**Queen Mary, University of London**,

**2007**

These notes are intended for an introduction to algebra. The text is intended as a first introduction to the ideas of proof and abstraction in mathematics, as well as to the concepts of abstract algebra (groups and rings).

(

**6505**views)

**Abstract Algebra**

by

**J. Mathos, R. Campanha**-

**Wikibooks**,

**2012**

This book is on abstract algebra, an advanced set of topics related to algebra, including groups, rings, ideals, fields, and more. Readers of this book are expected to have read and understand Algebra, and Linear Algebra books.

(

**7766**views)

**Algebraic Methods**

by

**F. Oggier**-

**Nanyang Technological University**,

**2010**

Contents: Group Theory (Groups and subgroups, The isomorphism theorems); Ring Theory (Rings, ideals and homomorphisms); Field Theory (Field extension and minimal polynomial); Galois Theory (Galois group and fixed fields).

(

**8118**views)

**Abstract Algebra I**

by

**Marcel B. Finan**-

**Arkansas Tech University**,

**2004**

Contents: Concept of a Mapping; Composition; Binary Operations; Composition of Mappings as a Binary Operation; Definition and Examples of Groups; Permutation Groups; Subgroups; Symmetry Groups; Equivalence Relations; The Division Algorithm; etc.

(

**8568**views)

**Algebra: A Computational Introduction**

by

**John Scherk**-

**Chapman & Hall**,

**2000**

The book emphasizes the computational aspects of modern abstract algebra. Author integrated the software Mathematica into the discussions -- especially in the group theory sections -- but is careful not to make any logical reliance on this software.

(

**8764**views)

**Abstract Algebra Done Concretely**

by

**Donu Arapura**-

**Purdue University**,

**2004**

This book covers basic abstract algebra. Rather than spending a lot of time on axiomatics and serious theorem proving, the author wanted to spend more time with examples, simple applications and with making scenic detours.

(

**10671**views)

**Abstract Algebra: Theory and Applications**

by

**Thomas Judson**-

**Virginia Commonwealth University Mathematics**,

**2009**

This text is intended for a one- or two-semester undergraduate course in abstract algebra and covers the traditional theoretical aspects of groups, rings, and fields. Many applications are included, including coding theory and cryptography.

(

**10829**views)

**Abstract Algebra**

by

**John A. Beachy, William D. Blair**-

**Waveland**,

**2006**

This text contains many of the definitions and theorems from the area of mathematics called abstract algebra. It is intended for undergraduates taking an abstract algebra class, as well as for students taking their first graduate algebra course.

(

**32368**views)

**Intro to Abstract Algebra**

by

**Paul Garrett**,

**1998**

The text covers basic algebra of polynomials, induction, sets, counting principles, integers, unique factorization into primes, Sun Ze's theorem, good algorithm for exponentiation, Fermat's little theorem, Euler's theorem, public-key ciphers, etc.

(

**10707**views)

**Elementary Abstract Algebra**

by

**W. Edwin Clark**-

**University of South Florida**,

**2001**

This book is written as a one semester introduction to abstract algebra. Applications of abstract algebra are not discussed. A certain amount of mathematical maturity, some familiarity with basic set theory, calculus, and linear algebra, is assumed.

(

**11206**views)

**Algebra: Abstract and Concrete**

by

**Frederick M. Goodman**-

**Semisimple Press**,

**2015**

An introduction to modern and abstract algebra at upper undergraduate level and beginning graduate students. The book treats conventional topics: linear algebra, groups, rings, fields, and symmetry as a unifying concept.

(

**37398**views)

**Elements of Abstract and Linear Algebra**

by

**Edwin H. Connell**,

**2004**

Covers abstract algebra in general, with the focus on linear algebra, intended for students in mathematics, physical sciences, and computer science. The presentation is compact, but still somewhat informal. The proofs of many theorems are omitted.

(

**13289**views)