Looking for algebra books? We've gathered 21 free algebra books in PDF, covering pre-algebra, college algebra, linear algebra, and abstract algebra.
From beginner-friendly guides on equations and variables to advanced textbooks on matrices and Galois theory. These are the books students and professors actually use.
Browse by topic below. Every book is free to read online or download as PDF.
Elementary and Pre-Algebra Books
Start here if you're new to algebra. These books cover the fundamentals: real numbers, expressions, equations, and polynomials.
Covers whole numbers, integers, fractions, decimals, and an introduction to algebraic expressions. A complete OpenStax pre-algebra course with exercises and real-world applications.
A thorough elementary algebra textbook covering expressions, equations, polynomials, factoring, graphing, and quadratic equations with numerous worked examples.
Covers real number axioms, linear equations, inequalities, polynomials, factoring, rational expressions, radicals, and quadratic equations with homework and practice tests.
A concise guide to algebra fundamentals: real numbers, algebraic expressions, equations, graphing, polynomials, rational expressions, and quadratic equations.
Covers equations, functions, polynomial and rational functions, exponential and logarithmic functions, systems of equations, and conic sections. An adapted OpenStax college algebra textbook.
Covers coordinates, functions, polynomial and rational functions, with detailed exercises and answers. Modified by University of Wisconsin-Madison for classroom use.
Comprehensive intermediate algebra covering rational expressions, roots, quadratic equations, exponential and logarithmic functions, conics, and sequences. Includes hundreds of practice exercises.
Bridges beginning and intermediate algebra in one volume. Covers pre-algebra through systems of equations, polynomials, radicals, quadratics, and trigonometry basics.
Combines college algebra with trigonometry in one comprehensive volume. Covers functions, polynomials, exponential and logarithmic functions, trigonometric functions, identities, vectors, and conic sections.
Fourth edition covering Gaussian reduction, vector spaces, linear maps, determinants, and eigenvalues. Takes a developmental approach emphasizing motivation and examples.
A novel approach to linear algebra that avoids determinants until the end. Covers vector spaces, finite-dimensional spaces, linear maps, polynomials, eigenvalues, inner product spaces, and operators.
Covers systems of linear equations, vectors, matrices, vector spaces, determinants, eigenvalues, and linear transformations. Includes a GNU Free Documentation License appendix.
Covers systems of equations, matrices, determinants, spectral theory, vector spaces, and linear transformations. Includes sections on polar and spherical coordinates.
Honors course lecture notes covering vector spaces, linear transformations, eigenvalues, and least squares regression. Written in an informal, accessible style with exercises throughout.
Companion notes for the Coursera course on matrix algebra. Covers matrices, systems of linear equations, vector spaces, eigenvalues, and matrix exponential with practice problems and solutions.
Focuses on matrix algebra fundamentals: matrix operations, systems of equations, determinants, eigenvalues, and the pseudoinverse. Written in a conversational, easy-to-read style.
Comprehensive text covering vectors, matrices, determinants, eigenvalues, vector spaces, linear transformations, and applications including cryptography, error-correcting codes, and principal component analysis.
A comprehensive linear algebra textbook emphasizing real-world applications. Covers systems of equations, matrix algebra, determinants, vector spaces, linear transformations, eigenvalues, and orthogonality with applied examples throughout.
Covers groups, rings, fields, Galois theory, and applications including coding theory and cryptography. Includes Sage exercises for computational exploration.
Covers number theory, fields, rings, groups, modules, and Galois theory. Includes topics like cyclotomic polynomials, unique factorization domains, and Zorn's lemma.
Introduces Clifford algebra (geometric algebra) and geometric calculus with applications to physics and engineering. Covers inner and outer products, rotations, multivector calculus, and differential geometry.
