# 10 Best Books on Discrete Math for Beginners in 2024

The world of mathematical logic is wide open to help with technological advancement. Discrete mathematics forms the mathematical foundation of computer and information science.

In this article, let’s discuss the best books for learning discrete mathematics for beginners. Each book review highlights the taste of the book, the contents covered, and how it can benefit you.

## Why Learn Discrete Mathematics?

Let's have a look at top reasons to learn this fascinating subject:

**Essential for Computer Science:**Discrete Mathematics is the backbone of Computer Science. It is the mathematical language of computer science. Modern computer science is built almost entirely on discrete mathematics.**Important for Big Data:**Discrete math plays a significant role in big data analytics. It produces a collection of powerful methods. It also includes mathematical tools for understanding and managing very high-dimensional data, inference systems for drawing sound conclusions from large and noisy data sets, and algorithms for scaling computations up to very large sizes.**Not Too Challenging:**Discrete mathematics is simple to understand**Enjoyable to Learn:**Discrete math is fun. Most learners find discrete math more fun than algebra or geometry.

With all this in mind, one thing is crystal clear: learning discrete mathematics is valuable for beginners! So, let’s get started!

## What Makes The Best Discrete Mathematics Books?

Here are our criteria for the selection of the books:

The book should contain a variety of instructional materials, including exercises, examples, questions, learning activities, and other features that promote the reader's engagement and active learning.

It uses clear, precise, and easy-to-understand language.

Content must be up-to-date and should thoroughly teach and explain the basic concepts of Discrete Mathematics.

Contain assignments for practice and hands-on experience.

The book should have a clear layout and strictly focus on Discrete Mathematics.

## Best Books on Discrete Mathematics

Here are some of the best Discrete Mathematics books for beginners:

### 1. Best Book for Active Learners: *Discrete Mathematics, 8th Edition*

*Discrete Mathematics*** by Richard Johnsonbaugh gives a comprehensive introduction to the topics of Discrete Math. It provides computer science applications in a clear and high-quality format.

It also includes 4500 exercise sets featuring a large number of applications, especially applications to computer science. They are designed to allow your students to master what they have learned before moving on to more difficult material.

The topics covered in the book are:

Sets and logic

Proofs

Functions, sequences, and relations

Algorithms

Introduction to number theory

Counting methods and the pigeonhole principle

Recurrence relations

Graph theory

Trees

Network models

Boolean algebras and combinatorial circuits

Automata, grammars, and languages

Computational geometry.

By the end of this book, you will be comfortable enough to solve any Discrete Mathematics problem.

### 2. Best Book for Step-by-step Learners: *Discrete Mathematics and Its Applications*

*Discrete Mathematics and its Applications* by Kenneth Rosen is a focused introduction to the primary themes in discrete mathematics. This book is flexible and comprehensive and has an experienced pedagogical style.

Chapter 1 talks about Foundations, Logic, and Proofs

Chapter 2 talks about Basic Structures: Sets, Functions, Sequences, Sums, Matrices

Chapter 3 covers Algorithms

Chapter 4 covers Number Theory and Cryptography

Chapter 5 covers Induction and Recursion

Chapter 6 talks about Counting

Chapter 7 covers Discrete Probability

Chapter 8 covers Advanced Counting Techniques

Chapter 9 covers Relations

Chapter 10 talks about Graphs

Chapter 11 talks about Trees

Chapter 12 covers Boolean Algebra

Chapter 13 covers Modeling Computation

The book presents a precise, relevant, comprehensive approach to mathematical concepts. The book is recommended not just for beginners but for anyone who wants to polish their Discrete Mathematics concepts.

### 3. Best Book for Completionists: *Essential Discrete Mathematics for Computer Science*

*Essential Discrete Mathematics for Computer Science* by Harry Lewis and Rachel Zax is the ideal introductory book for undergraduate courses, high school courses, distance education, and self-study. It gives the reader an essential introduction to discrete mathematics.

This book is filled with practical information and compiled the contents in a well-organized way. This flexible book features thirty-one short chapters that discuss one major topic each. Each chapter is accompanied by a concise summary and a set of exercises.

Chapter 1 talks about the Pigeonhole Principle

Chapter 2 covers Basic Proof Techniques

Chapter 3 talks about Proof by Mathematical Induction

Chapter 4 covers Strong Induction

Chapter 5 covers Sets

Chapter 6 talks about Relations and Functions

Chapter 7 covers Countable and Uncountable Sets

Chapter 8 talks about Structural Induction

Chapter 9 covers Propositional Logic

Chapter 10 covers Normal Forms

Chapter 11 talks about Logic and Computers

Chapter 12 covers Quantificational Logic

Chapter 13 talks about Directed Graphs

Chapter 14 covers Digraphs and Relations

Chapter 15 covers States and Invariants

Chapter 16 talks about Undirected Graphs

Chapter 17 covers Connectivity

Chapter 18 covers Coloring

Chapter 19 talks about Finite Automata

Chapter 20 covers Regular Languages

Chapter 21 covers Order Notation

Chapter 22 talks about Counting

Chapter 23 covers Counting Subsets

Chapter 24 covers Series

Chapter 25 talks about Recurrence Relations

Chapter 26 covers Probability

Chapter 27 covers Conditional Probability

Chapter 28 talks about Bayes’ Theorem

Chapter 29 covers Random Variables and Expectation

Chapter 30 talks about Modular Arithmetic

Chapter 31 covers Public Key Cryptography

The book aims to teach mathematical reasoning as well as concepts and skills. It includes more than 300 exercises. The book will simply polish your discrete mathematics concepts from good to outstanding!

### 4. Best Book for Serious Learners: *Journey into Discrete Mathematics*

*Journey into Discrete Mathematics* by Owen D. Byer, Deirdre L. Smeltzer, and Kenneth L. Wants is a clear and self-contained introduction to discrete mathematics. It promotes the development of a mathematical mindset and prepares readers for further study.

The book is divided into thirteen chapters and the main topics covered are:

Mini-Theories

Logic and Sets

Logic and Proof

Relations and Functions

Induction

Number Theory

Counting

Graph Theory

Invariants and Monovariants

Many of the core topics, including counting, number theory, and graph theory are discussed twice in a deeper perspective.

The topics are explained attractively and engagingly. The book helps the reader to think like a mathematician through the exposition and the problems provided.

### 5. Best Book for Hands-on Learners: *Discrete Mathematics for Computer Science*

*Discrete Mathematics for Computer Science* by David Liben-Nowell provides a comprehensive introduction to discrete mathematics. The book gives a strong emphasis on the relationship between the discrete mathematics concepts and their application to computer science.

The book is divided into twelve chapters and includes the following contents:

Chapter 1 gives an introduction to the book

Chapter 2 talks about Basic Data Types

Chapter 3 covers Logic

Chapter 4 talks about Proofs and error-correcting codes

Chapter 5 covers Mathematical Induction

Chapter 6 talks about the Analysis of Algorithms

Chapter 7 covers Number Theory and Cryptography

Chapter 8 covers Relations

Chapter 9 talks about Counting, Combinations, and Permutations

Chapter 10 talks about Probability

Chapter 11 covers Graphs and Trees

Chapter 12 is the index

The book includes a wide selection of exercises and detailed exploration problems. This hands-on book contains over 450 examples, thorough chapter summaries, simple quizzes, and approximately 1600 homework exercises of widely varying difficulty. It's a great book for computer science students.

### 6. Best Book for Perfectionists: *Discrete Mathematics and Applications*

*Discrete Mathematics and Applications* by Kevin Ferland combines a balance of theory and applications with mathematical rigor. It is written in an accessible writing style.

The author uses a range of examples to teach core concepts. The corresponding exercises allow readers to apply what they learn. The book is divided into two parts:

Part 1 focuses on:

How to write proofs

Then moves on to topics in number theory

employing set theory in the process.

Part 2 focuses on:

Computations

Combinatorics

Graph theory

Trees, and algorithms

The book includes engaging anecdotes and topics of interest to inform as well as motivate learners.

### 7. Best Book for Absolute Beginners: *Essentials of Discrete Mathematics, 4th Edition*

*Essentials of Discrete Mathematics* by David J. Hunter is organized around five types of thinking: logical, relational, recursive, quantitative, and analytical.

The book is divided into six chapters

Chapter 1 talks about Logical Thinking

Chapter 2 covers Relational Thinking

Chapter 3 talks about Recursive Thinking

Chapter 4 covers Quantitative Thinking

Chapter 5 talks about Analytical Thinking

Chapter 6 emphasizes the multidisciplinary approach and contains case studies

Each section in Chapters 1 through 5 now include new activities designed to be completed in class using inquiry-based learning. The book gives careful attention to mathematical logic and proof techniques. The coverage of algorithms is appropriate for computer science majors, as well as students with no previous programming experience.

### 8. Best Book for Analytical Thinkers: Discrete Mathematics with Applications

Discrete Mathematics with Applications by Susanna S. Epp provides a strong foundation of discrete mathematics for computer science and upper-level mathematics courses. The book introduces discrete mathematics with clarity and precision, and helps you learn to think abstractly as you study the ideas of logic and proof.

The includes lots of real-world examples and applications, and exercises. The contents covers in the book are:

Chapter 1 covers Variables, Sets, Relations and Functions, and Graphs.

Chapter 2 talks about the Logic of Compound Statements. Topics include Logical Form and Logical Equivalence, Conditional Statements, Valid and Invalid Arguments.

Chapter 3 talks about the Logic of Quantified statements. Predicates and Quantified Statements, Statements with Multiple Quantifiers, and Arguments with Quantified Statements.

Chapter 4 covers Elementary Number Theory and Methods of Proof .

Chapter 5 covers Sequences, Mathematical Induction, and Recursion

Chapter 6 covers the Set Theory

Chapter 7 talks about Properties of Functions, Composition of Functions, and Cardinality with Applications to Computability.

Chapter 8 covers Properties of Relations

Chapter 9 talks about Counting and Probability

Chapter 10. Theory of Graphs and Trees

Chapter 11 covers Algorithm Efficiency

Chapter 12 covers Regular Expressions and Finite-State Automata

The book is great for self-taught programmers without formal mathematical or computer science education.

### 9. Best Book for Basics: Schaum's Outline of Discrete Mathematics

Schaum's Outline of Discrete Mathematics by Seymour Lipschutz and Marc Lipson helps you understand basic concepts and get the extra practice you need to excel in computer science courses. The book provides clear, concise explanations of discrete mathematics concepts. There are 467 solved problems, and hundreds of additional practice problems.

You’ll get expanded coverage of logic, the rules of inference, and basic types of proofs in mathematical reasoning. The book focuses on discrete probability, aspects of probability theory, and greater accessibility to counting techniques. Topics include

Set theory

Relations

Functions and algorithms

Logic and propositional calculus

Techniques of counting

Advanced counting techniques, recursion

Probability

Graph theory

Directed graphs

Binary trees

Properties of the integers

Languages, automata, machines

Finite state machines and Turning machines

Ordered sets and lattices, and Boolean algebra

The Logic chapter emphasizes the IF-THEN and IF-THEN-ELSE sequencing that occurs in computer programming. Moreover, the Cryptology chapter includes substitution and RSA method. This edition comes with new Schaum’s app and website!

### 10. Best Book for Computer Scientists: **Practical Discrete Mathematics **

Practical Discrete Mathematics by Ryan T White and Archana Tikayat Ray is a comprehensive introduction for those who are new to the mathematics of countable objects. This book will help you get up to speed with using discrete math principles to take your computer science skills to a more advanced level.

This book is well-organized, allowing the reader to quickly grasp key concepts and test them out using the provided Python examples. The book also gives a good introduction to machine learning.

Here’s what you’ll get from the book:

Understand the terminology and methods in discrete math and their usage in algorithms and data problems

Use Boolean algebra in formal logic and elementary control structures

Implement combinatorics to measure computational complexity and manage memory allocation

Use random variables, calculate descriptive statistics, and find average-case computational complexity

Solve graph problems involved in routing, pathfinding, and graph searches, such as depth-first search

Perform ML tasks such as data visualization, regression, and dimensionality reduction

By the end of this book, you'll have a deeper understanding of discrete math and its applications in computer science, and be ready to work on real-world algorithm development and machine learning.

## More Ways to Learn Discrete Mathematics

So these are the 7 best Discrete Mathematics books for beginners. They serve as a great resource for those who want to learn best through reading.

There are also a few online courses on the list that let you learn Discrete Mathematics.

**Coursera**: Learn the math that defines computer science by Introduction to Discrete Mathematics for Computer Science specialization. There are five courses in this specialization includingMathematical Thinking in Computer Science

Combinatorics and Probability

Introduction to Graph Theory

Number Theory and Cryptography

Delivery Problem

**Udemy**:Discrete Mathematics by Miran Fattah is a 19-hour high-rated course. This course helps to master Discrete Math for Computer Science and Mathematics Students.

Master Discrete Mathematics by Grant Hall is a 7-hour high rated course that helps you to learn and master all of Discrete Math - Logic, Set Theory, Combinatorics, Graph Theory, etc

If you want to learn to code on a budget, I have compiled over 70 free coding resources, which I hand-picked for quality. I wish you the best of luck learning discrete math and hope to see you in other articles!