Best Group Theory Books of 2025

* We independently evaluate all recommended products and services. If you click on links we provide, we may receive compensation.
Group theory is a fascinating and complex field of mathematics that has numerous applications in physics, chemistry, and computer science. For those looking to learn more about this area of study, there are a variety of group theory books available that cater to beginners, intermediate learners, and experts. Some popular titles include "Abstract Algebra: A First Course" by Dan Saracino, "Algebra: Chapter 0" by Paolo Aluffi, and "Groups and Symmetry" by Mark A. Armstrong. These books cover a range of topics, from the basics of group theory to more advanced concepts like representation theory and Galois theory. Whether you're a student or a professional, there's a group theory book out there that can help deepen your understanding of this fascinating subject.
At a Glance: Our Top Picks
Top 10 Group Theory Books
Love and Math
"Love and Math" by Edward Frenkel is a captivating memoir that takes readers on a journey through the beauty and power of mathematics. Frenkel's passion for the subject shines through as he reveals a side of math that is often overlooked and misunderstood. He shares his personal story of overcoming discrimination to become one of the world's leading mathematicians, and explains complex theories like the Langlands Program in a way that is accessible to interested laypeople. Overall, "Love and Math" is a powerful and inspiring read that invites readers to discover the magic of mathematics and its ability to enrich our lives.
Would You Rather? Family Challenge! Edition: Hilarious Scenarios & Crazy Competition for Kids, Teens, and Adults
Would You Rather? Family Challenge! Edition is a thought-provoking and entertaining collection of 160+ silly and fun questions for all ages. Lindsey Daly's book offers brain exercises for kids and adults with either/or scenarios that make them think creatively, use their imagination, and pull together facts quickly. The book is a great way to get everyone off screens and have a good laugh while trying to outsmart family members with the most creative answers. The book is perfect for road trips, camping trips, sleepovers, restaurants, and more. Overall, Would You Rather? Family Challenge! Edition is an excellent gift for yourself, a family member, or a good friend that will keep everyone entertained for hours.
6th grade Math Workbook: CommonCore Math Workbook
The 6th grade Math Workbook: CommonCore Math Workbook is a highly recommended practice workbook for students based on Common Core State Standards. The book includes multiple chapters and units covering all the required Common Core Standards for this grade level. The questions are divided into chapters and sub-topics, which help students identify their trouble spots and fix them. The book also includes 2 comprehensive full-length tests, detailed step-by-step answers, and practice questions of all types. Ace Academic Publishing, in partnership with Prepaze Educational Workbooks, brings exclusive educational content to the book. Overall, this workbook is an excellent resource for students to practice and prepare for the Common Core standardized exams with confidence.
Math Practice Workbook Grades 4-5: 1000+ Questions You Need to Kill in Elementary School by Brain Hunter Prep (Arithmetic, Algebra, Geometry, ... more in Kill It Series by Brain Hunter Prep)
The Math Practice Workbook Grades 4-5 by Brain Hunter Prep is an excellent resource for elementary school children to improve their math skills. The workbook includes over 1000 practice questions covering a wide range of topics such as arithmetic, algebra, geometry, fractions, decimals, and more. It is also aligned with all Common Core State Standards and is created by certified elementary school teachers. Parents, teachers, and students can use this workbook to supplement their learning and prepare for exams. Overall, this workbook is a highly recommended tool that provides comprehensive practice questions for children in 4th and 5th grade.
Group Theory in a Nutshell for Physicists (In a Nutshell, 17)
Group Theory in a Nutshell for Physicists is a user-friendly and classroom-tested textbook that provides physicists with a modern and accessible introduction to group theory. It covers a broad range of topics, from the intuitive notion of a group to the unification of three of the four fundamental forces. A concise review of linear algebra is also included, making it ideal for self-study. A unique feature of the book is its online illustration package available to professors. Overall, this book is an essential resource for students and researchers in the field of physics.
8th grade Math Workbook: CommonCore Math Workbook
The 8th Grade Math Workbook by Ace Academic Publishing is a comprehensive practice workbook that covers all the required Common Core Standards for this grade level. The book includes high-standard questions, carefully written to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques. It also includes multiple tests for each topic, allowing students to practice all types of questions, including free response. Additionally, the book features detailed step-by-step answers to help students understand the topics and gain confidence in solving similar problems. Overall, this workbook is an excellent resource for students preparing for Common Core standardized exams.
Sudoku Large Print With Solutions: 150 Hard to Diabolic Puzzles for Adults & Seniors for Gradually Improving Sudoku Skills, One Per Page (Sudoku Sensei Series)
This Sudoku Sensei Series book is perfect for adults and seniors who want to improve their Sudoku skills gradually. With 150 hard to diabolic puzzles, this book provides an engaging and challenging exercise for the mind that helps delay brain aging, improves memory, thinking skills, and concentration, reduces anxiety and stress, and promotes a healthy mindset. The large print design makes it easy on the eyes, and the clear structure and solutions included make it suitable for all levels. Overall, this book is an excellent choice for Sudoku lovers of all ages who want to keep their minds sharp and active.
7th Grade Math Workbook: Common Core Math Workbook
The 7th Grade Math Workbook: Common Core Math Workbook is an excellent resource for students looking to prepare for the Common Core State Standards exam. The book covers all the required topics for this grade level with high standards of questions, including multiple-choice, fill-in-the-blank, true or false, match the correct answer, and free-response questions. The workbook is recommended by teachers and includes detailed step-by-step answers to help students understand the topics and gain confidence in solving similar problems. Additionally, the book includes 2 comprehensive full-length tests to practice the entire syllabus. Overall, this is a great workbook that identifies trouble spots and helps students overcome any deficiencies in their understanding of critical concepts.
Lost in Math: How Beauty Leads Physics Astray
The book "Lost in Math: How Beauty Leads Physics Astray" by Sabine Hossenfelder explores the modern obsession of physicists with beauty and elegance in their theories. The author argues that this obsession has hindered scientific progress and led to untestable theories. The book provides a well-informed take on the current situation in fundamental physical theory while being self-aware, dosed with acerbic wit, and often quite funny. Overall, this book is a thought-provoking read that challenges the dogmatic belief in beauty and encourages physicists to rethink their methods and embrace reality to discover the truth.
Contemporary Abstract Algebra (Textbooks in Mathematics)
Contemporary Abstract Algebra, Tenth Edition is a comprehensive and engaging textbook that presents the concepts and methodologies of abstract algebra as used by mathematicians, computer scientists, physicists, and chemists. The book includes examples and exercises that facilitate understanding, provide insight, and develop the ability to do proofs. The tenth edition features new exercises, new examples, and a freshening of the discussion portions. The book's hallmark features include a good mixture of computational and theoretical exercises, worked-out examples, historical notes and biographies, and motivational and humorous quotations. Overall, this book is an enjoyable read that conveys enthusiasm for the beauty of the topics presented.
Frequently Asked Questions (FAQs)
1. Is group theory difficult?
An introductory abstract algebra class that includes group theory isn't that difficult. It may initially have a steep learning curve due to it being more abstract than previously encountered areas of mathematics.
2. What branch of math is group theory?
In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms.
3. Is group theory pure math?
Group Theory (Autumn Term), the study of symmetry through algebra. Symmetry is ubiquitous in mathematics and science, and the mathematical study of symmetry through group theory is one of the most important tools which pure mathematics has brought to the sciences over the past 200 years.
During our group theory book research, we found 1,000+ group theory book products and shortlisted 10 quality products. We collected and analyzed 8,694 customer reviews through our big data system to write the group theory books list. We found that most customers choose group theory books with an average price of $14.19.

Wilson Cook is a talented writer who has an MFA in creative writing from Williams College and has published more than 50 books acquired by hundreds of thousands of people from various countries by now. He is an inveterate reading lover as he has read a vast amount of books since childhood.