The best 20 Algebra books

Advanced Modern Algebra by Joseph J. Rotman provides a comprehensive and rigorous exploration of abstract algebra. It delves into advanced topics such as group theory, ring theory, field theory, and Galois theory, offering a deep understanding of the subject. With its clear explanations and challenging exercises, this book is ideal for graduate students and researchers in mathematics.

Algebra II for Dummies by Mary Jane Sterling is a comprehensive guide to mastering the concepts of algebra at an intermediate level. It provides clear explanations, step-by-step instructions, and practical examples to help readers understand topics such as quadratic equations, polynomials, functions, and more. Whether you're a student looking to improve your math skills or someone who wants to refresh their knowledge, this book is a valuable resource.

Advanced Linear Algebra by Steven Roman delves into the more complex and abstract concepts of linear algebra, making it suitable for graduate students and researchers. It covers topics such as vector spaces, linear transformations, eigenvalues and eigenvectors, and inner product spaces, providing a rigorous and comprehensive treatment of the subject.

Algebra I Workbook For Dummies by Mary Jane Sterling is a comprehensive guide designed to help students master the fundamentals of algebra. With clear explanations, step-by-step examples, and plenty of practice problems, this workbook is perfect for anyone looking to build a strong foundation in algebra. Whether you're a beginner or just need a refresher, this book will make algebra easy and enjoyable.

Commutative Algebra by David Eisenbud provides a comprehensive introduction to the fundamental concepts and techniques of commutative algebra. It covers topics such as ring theory, modules, homological algebra, and algebraic geometry, making it an essential resource for anyone interested in this field of mathematics.

Essential Prealgebra Skills Practice Workbook by Chris McMullen provides comprehensive exercises to help students master fundamental prealgebra concepts. With clear explanations and ample practice problems, this workbook is an invaluable resource for building a strong foundation in mathematics.

No-Nonsense Algebra by Richard W. Fisher is a comprehensive guide that simplifies algebra and makes it accessible to everyone. It provides clear explanations, step-by-step examples, and practice problems to help readers master algebraic concepts and skills. Whether you're a student struggling with algebra or an adult looking to refresh your math knowledge, this book is a valuable resource for learning and understanding algebra.

Practical Algebra by Peter H. Selby is a comprehensive guide that makes learning algebra easy and accessible. It covers all the fundamental concepts and techniques with clear explanations and practical examples. Whether you're a student looking to improve your algebra skills or an adult wanting to refresh your knowledge, this book will help you master algebra in a practical way.

An Introduction to the Theory of Groups by Joseph J. Rotman provides a comprehensive introduction to the study of groups in abstract algebra. It covers the basic concepts and theorems, as well as more advanced topics such as group actions, solvable and nilpotent groups, and the Sylow theorems. With clear explanations and numerous examples, it is a valuable resource for students and researchers alike.

Topics in Algebra by I. N. Herstein is a classic text that covers a wide range of algebraic concepts. It delves into group theory, ring theory, field theory, and more, providing clear explanations and engaging exercises. Whether you're a student or a math enthusiast, this book is a valuable resource for understanding abstract algebra.

Linear Algebra Done Right by Sheldon Axler provides a fresh and intuitive approach to the study of linear algebra. It emphasizes the conceptual understanding of the subject and focuses on the theory rather than just the computations. With clear explanations and thought-provoking exercises, this book is perfect for anyone looking to truly grasp the fundamentals of linear algebra.

Prealgebra Solutions Manual by Richard Rusczyk provides step-by-step solutions to all the problems in the accompanying Prealgebra textbook. It is a valuable resource for students and educators looking to check their work or gain a better understanding of the concepts covered in the textbook.

Elements of Algebra by Leonhard Euler is a classic mathematical text that delves into the fundamental principles of algebra. Originally published in the 18th century, Euler presents a comprehensive and systematic exploration of algebraic concepts, equations, and operations. This influential work continues to be a valuable resource for students and mathematicians alike.

Solomon Academy's IAAT Practice Tests by Yeon Rhee is a comprehensive resource for students preparing for the Iowa Algebra Aptitude Test (IAAT). The book provides a variety of practice questions and tests to help students familiarize themselves with the format and content of the IAAT. With detailed explanations and tips, it aims to improve students' performance and confidence when taking the actual test.

Smooth Manifolds and Observables by Jet Nestruev provides a comprehensive introduction to the theory of smooth manifolds and its applications in physics. The book covers topics such as tangent spaces, vector fields, differential forms, and Lie groups, offering a clear and rigorous treatment of the subject. With a focus on observables in classical and quantum mechanics, this book is a valuable resource for students and researchers in mathematics and physics.

The Arithmetic of Elliptic Curves by Joseph H. Silverman delves into the fascinating world of elliptic curves and their connections to number theory. It explores the mathematical properties and applications of these curves, making it an essential read for anyone interested in advanced mathematics and its real-world implications.

Hot X by Danica McKellar is a fun and accessible guide to algebra for middle school and high school students. Through clear explanations, real-life examples, and engaging anecdotes, McKellar demystifies algebra and shows how it can be both practical and even enjoyable. Whether you're struggling with math or just want to brush up on your skills, this book will help you conquer the X!

The Cartoon Guide to Algebra by Larry Gonick is a fun and educational book that uses cartoons and clear explanations to make algebra less intimidating. It covers everything from basic concepts to more advanced topics, making it a great resource for students and anyone looking to refresh their algebra skills.

God Created the Integers is a collection of writings by renowned physicist Stephen Hawking that delves into the history and development of mathematics. Through the exploration of key mathematical concepts and the work of influential mathematicians, Hawking provides a fascinating glimpse into the beauty and complexity of numbers and their role in shaping our understanding of the universe.

Introduction to Linear Algebra by Gilbert Strang provides a comprehensive introduction to the fundamental concepts of linear algebra. From vectors and matrices to eigenvalues and eigenvectors, this book covers a wide range of topics in a clear and engaging manner. With numerous examples and applications, it is suitable for students and professionals in fields such as mathematics, engineering, and computer science.