Best Discrete Mathematics Books of 2025

This long-form mathematics textbook, titled "Proofs," is an excellent resource for students seeking an introduction to higher mathematics. The author's conversational writing style and use of humor make the material approachable, while the inclusion of scratch work and proof sketches provide students with a deeper understanding of the subject matter. The book covers a range of topics, from intuitive proofs to real analysis, and includes pro-tips and introductions to unsolved problems in mathematics. This text is a valuable addition to any student's collection of discrete mathematics books.

The Book of Why by Judea Pearl, a Turing Award-winning computer scientist and statistician, is a groundbreaking work that explores the study of cause and effect on a scientific basis. Pearl's work not only explains how we can determine whether something causes another, but also enables us to explore the worlds that could have been. The book provides valuable lessons on the history of ideas and the conceptual tools needed to judge what big data can and cannot deliver. This book is a must-read for anyone interested in understanding causality, human thought, and artificial intelligence.

The CISSP® Study Guide, Fourth Edition is an excellent resource for those seeking to pass the CISSP® certification exam. The book covers the eight domains of the Common Body of Knowledge in a concise and easy-to-understand manner, with each domain having its own chapter. The author's discipline in keeping the book focused on preparing readers for the certification is commendable. The book includes exam objectives, unique terms/definitions, exam warnings, learning by example, hands-on exercises, and chapter-ending questions that help readers fully comprehend the material. This book is a must-have for anyone looking to pass the CISSP® exam.

This book is a great introduction to graph theory for anyone who has been "mathematically traumatized" or for those who are interested in mathematics as a hobby. The author takes the reader through simple graphs, planar graphs, Platonic graphs, and more, all while only requiring a background in high school algebra. The book includes exercises at the end of each chapter and covers Euler walks, Hamilton walks, and The Seven Bridges of Konigsberg. The writing is clear and engaging, making it a great read for both serious mathematicians and hobbyists. Overall, this book is highly recommended for anyone interested in graph theory.

The Book of Proof is an excellent resource for students who want to transition from computational courses to a more theoretical outlook. It covers a range of topics including sets, logic, counting, methods of proof, induction, relations, functions, calculus, and infinite cardinality. The author, Richard Hammack, introduces the undergraduate to logic and proofs, making it ideal for those with little or no experience with formal reasoning. The book is well-written and easy to follow, making it a must-read for anyone interested in discrete mathematics.

TI-84 Plus CE Graphing Calculator For Dummies is a comprehensive guide for anyone looking to get the most out of their graphing calculator. Packed with insider tips, the book teaches readers how to navigate the calculator's home screen, menus, and mode settings, and how to use it for basic math, matrices, complex numbers, probability, and statistical data analysis. The book also covers the latest TI-84+ models and even teaches readers how to program in Python on the new TI-84 Plus CE Python Edition. Overall, this is a must-have reference for anyone looking to use their graphing calculator with confidence.

Discrete Mathematics with Applications, 5th Edition is a comprehensive guide to the major themes of discrete mathematics, providing a strong foundation for computer science and upper-level mathematics courses. The author, Susanna Epp, presents complex concepts with clarity and precision, making it easier for students to think abstractly and understand the ideas of logic and proof. The book covers important topics such as algorithm analysis, computability, cryptography, and combinatorics, all of which are essential to today's technology. Overall, this book is an excellent resource for anyone interested in discrete mathematics, and its clear explanations and practical applications make it stand out from other textbooks in the field.

The Kids Summer Academy workbook by ArgoPrep is an excellent resource for parents who want to prepare their children for Grade 3 and prevent summer learning loss. This 12-week curriculum covers a range of subjects, including Math, Reading, Science, Logic, Fitness, and Yoga, and includes a summer reading list to encourage students to continue reading during the break. The workbook is designed by state-certified teachers and educators and comes equipped with video explanations accessible from any device.

This textbook is a comprehensive introduction to graph theory, covering major topics from both theoretical and applied perspectives. The author guides readers through basic terminology, computational questions, and theoretical results with examples and exercises to strengthen their proof techniques and mathematical explanations. The book also includes current applications and exploratory exercises to enhance readers' understanding of the relevance of graph theory to the modern world. Overall, Graph Theory: An Introduction to Proofs, Algorithms, and Applications is an excellent resource for undergraduate students and researchers interested in graph theory.

This introductory text on Discrete Mathematics is an essential book for undergraduate students in computer science and mathematics. It covers fundamental operations involving sets and the principle of mathematical induction, and standard combinatorial topics. The book emphasizes combinatorics, graph theory with applications to some stand network optimization problems, and algorithms to solve these problems. The author, V. K. Balakrishnan, is a Professor Emeritus at the University of Maine. The book is well-written and includes more than 200 exercises at the ends of chapters to help students test their grasp of the material. Overall, it's a valuable resource for anyone looking to learn more about discrete mathematics.