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Elementary Abstract Algebra: Examples and Applications
It 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.

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.

Basic Algebra (Anthony W. Knapp)
This book is on Preliminaries about the Integers, Polynomials, and Matrices; Vector Spaces over Q, R, and C; InnerProduct Spaces; Groups and Group Actions; Theory of a Single Linear Transformation; Multilinear Algebra; Advanced Group Theory; etc.

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.

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.

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.

Linear Algebra, Theory And Applications (Kenneth Kuttler)
This is a book on linear algebra and matrix theory. It gives a self contained treatment of linear algebra with many of its most important applications which does not neglect arbitrary fields of scalars and the proofs of the theorems.

Inner Algebra: How To Do Algebra In Your Head (Aaron Maxwell)
This book starts by gently training you in the fundamental mental skills. It then shows how to apply them mathematically, with a focus on algebra.

Understanding Algebra (James W. Brennan)
An brief overview of prealgebra and introductory algebra topics, written in a style meant to give you the basic facts in a way that is easy to understand, suitable for highschool Algebra I, or for anyone who wants to learn introductory algebra.

Higher Algebra (Jacob Lurie)
This book is an informal and readable introduction to higher algebra at the postcalculus level with focus on infinite algebras;

Elementary Algebra (John Redden)
This book is an informal and readable introduction to higher algebra at the postcalculus level with focus on infinite algebras;

A First Course in Linear Algebra (Robert A Beezer)
This book is an introduction to the basic concepts of linear algebra, along with an introduction to the techniques of formal mathematics. It begins with systems of equations and matrix algebra before moving into the advanced topics.

Linear Algebra as an Introduction to Abstract Mathematics
This book aims to bridge the gap between the mainly computationoriented lower division undergraduate classes and the abstract mathematics encountered in more advanced mathematics courses.

Linear Algebra  Theorems and Applications (Hassan Abid Yasser)
This book contains selected topics in linear algebra, which represent the recent contributions in the most famous and widely problems.

Linear Mathematics In Infinite Dimensions (Ulrich H. Gerlach)
Focus on the mathematical framework that underlies linear systems arising in physics, engineering and applied mathematics  from the theory of linear transformation on finite dimensional vector space to the infinite dimensional vector spaces.

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.

Applied and Computational Linear Algebra: A First Course
This book is intended as a text for a graduate course that focuses on applications of linear algebra and on the algorithms used to solve the problems that arise in those 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.

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.

Super Linear Algebra (W. B. V. Kandasamy, F. Smarandache)
Super Linear Algebras are built using super matrices. These new structures can be applied to all fields in which linear algebras are used. Super characteristic values exist only when the related super matrices are super square diagonal super matrices.

Numerical Methods for Large Eigenvalue Problems (Yousef Saad)
This book is intended for researchers in applied mathematics and scientific computing as well as for practitioners interested in understanding the theory of numerical methods used for eigenvalue problems.

Lectures on Linear Algebra and Matrices (G. Donald Allen)
This book avoids the traditional definitiontheoremproof format; instead a fresh approach introduces a variety of problems and examples all in a clear and informal style.

Introduction to Nonlinear Algebra (V. Dolotin and A. Morozov)
This unique text presents the new domain of consistent nonlinear counterparts for all basic objects and tools of linear algebra, and develops an adequate calculus for solving nonlinear algebraic and differential equations.

Model Theory, Algebra, and Geometry (Deirdre Haskell, et al)
The book begins with an introduction to model theory. It then broadens into three components: pure model theory, geometry, and the model theory of fields.

Algorithms for Modular Elliptic Curves, 2nd Edition (J. E. Cremona)
This book presents a thorough treatment of many algorithms concerning the arithmetic of elliptic curves with remarks on computer implementation.

Elementary Algebra (Denny Burzynski, Wade Ellis)
It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques.

Reasonable Basic Algebra for Students in Entering College
TThis book is a standalone version of part of From Arithmetic To Differential Calculus (A2DC), a course of study developed to allow a significantly higher percentage of students to complete Differential Calculus in three semesters.

Orbital Integrals on Reductive Lie Groups and Their Algebras
This book is to present a complete course on global analysis topics and establish some orbital applications of the integration on topological groups and their algebras to harmonic analysis and induced representations in representation theory.

Algebraic Combinatorics on Words (M. Lothaire)
This book is both a comprehensive introduction to the subject and a valuable reference source for researchers.

Algebraic Problems and Exercises for High School (Ion Goian, et al)
You will find algebra exercises and problems, grouped by chapters, intended for higher grades in high schools or middle schools of general education. Its purpose is to facilitate training in mathematics for students in all high school categories.

Analysis and Linear Algebra for Finance (Patrick Roger)
This book presents the elements of analysis and linear algebra used in financial models and in microeconomics.

Algebra, Abstract Algebra, and Linear Algebra
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