Best Number Theory Books of 2025

Wilson Cook Avatar
Wilson Cook
Last Updated: May 10, 2023

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Number theory books are an essential tool for mathematicians and students alike. These books cover a wide range of topics, from basic arithmetic to advanced concepts such as algebraic number theory and elliptic curves. Some popular titles include "An Introduction to the Theory of Numbers" by G.H. Hardy and E.M. Wright, "The Book of Numbers" by John H. Conway and Richard K. Guy, and "Elementary Number Theory" by David M. Burton. These books offer clear explanations, examples, and exercises to help readers understand and apply the concepts of number theory. Whether you are a beginner or an expert, there is a number theory book out there that can help you deepen your understanding of this fascinating field.

At a Glance: Our Top Picks

Preschool Math Workbook: Number Tracing, Addition and Subtraction math workbook for toddlers ages 2-4 and pre k (Learn Pen Control, Letters, Numbers, Sight Words & Math for Preschool & Kindergarten) Cover #TOP 1
Preschool Math Workbook: Number Tracing, Addition and Subtraction math workbook for toddlers ages 2-4 and pre k (Learn Pen Control, Letters, Numbers, Sight Words & Math for Preschool & Kindergarten)
ftb score rating icon 9.9
Love and Math Cover #TOP 2
Love and Math
ftb score rating icon 9.8
PHILOMATH: The Geometric Unification of Science & Art Through Number Cover #TOP 3
PHILOMATH: The Geometric Unification of Science & Art Through Number
ftb score rating icon 9.6

Top 10 Number Theory Books

#TOP 1

Preschool Math Workbook: Number Tracing, Addition and Subtraction math workbook for toddlers ages 2-4 and pre k (Learn Pen Control, Letters, Numbers, Sight Words & Math for Preschool & Kindergarten)

Lalgudi, Sujatha
Hippidoo
Independently published
Apr 25, 2020
Preschool Math Workbook: Number Tracing, Addition and Subtraction math workbook for toddlers ages 2-4 and pre k (Learn Pen Control, Letters, Numbers, Sight Words & Math for Preschool & Kindergarten) Cover
Preschool Math Workbook: Number Tracing, Addition and Subtraction math workbook for toddlers ages 2-4 and pre k (Learn Pen Control, Letters, Numbers, Sight Words & Math for Preschool & Kindergarten)

This Preschool Math Workbook is an excellent resource for parents looking to give their toddlers a head start in math. With 109+ pages of fun learning activities, including number tracing, counting, simple addition and subtraction, and more, this workbook is perfect for preschool and kindergarten prep. What sets this book apart is the bonus coloring section at the beginning of each number, featuring ocean animals, magical unicorns, dragons, pets, flowers, fruits, and toys to color. The large size of the book and premium cover design make it a worthwhile purchase for any parent. Overall, this book is an engaging and valuable tool for building early math skills in young children.

Frenkel, Edward
Basic Books
Sep 9, 2014

"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.

PHILOMATH: The Geometric Unification of Science & Art Through Number

Grant, Robert Edward
Ghannam, Talal
Apr 22, 2021
PHILOMATH: The Geometric Unification of Science & Art Through Number Cover
PHILOMATH: The Geometric Unification of Science & Art Through Number

PHILOMATH: The Geometric Unification of Science & Art Through Number is a book that attempts to unify various scientific disciplines under one consistent theory by utilizing the most fundamental branches of mathematics. The authors strip down disciplines like physics, music, and prime number theory, showing them all to be interconnected and emerging from few basic and simple geo-numerical laws that underlie the entire fabric of space and time. The book offers a new renaissance for both the academic and the corporate sector, ushering a new era that will steer our civilization away from its self-destructive path. Overall, it's an intriguing and informative read for anyone interested in number theory and the unification of sciences.

100 Timed Tests for Addition and Subtraction: Math Book for Kids Ages 4 to 7 | Preschool, Kindergarten & 1st Grade Educational Math Workbook | Addition and Subtraction Mathematics Drills

by RV AppStudios, Lucas & Friends
Apr 5, 2023
100 Timed Tests for Addition and Subtraction: Math Book for Kids Ages 4 to 7 | Preschool, Kindergarten & 1st Grade Educational Math Workbook | Addition and Subtraction Mathematics Drills Cover
100 Timed Tests for Addition and Subtraction: Math Book for Kids Ages 4 to 7 | Preschool, Kindergarten & 1st Grade Educational Math Workbook | Addition and Subtraction Mathematics Drills

This workbook is an excellent resource for parents and teachers who want to help children aged 4 to 7 improve their math skills. With 100 days of reproducible practice problems, speed drills, timed tests, and exercises, 100 Timed Tests for Addition and Subtraction covers counting, addition, and subtraction problems for numbers 0 to 30, arranged in order of difficulty. The book gradually progresses to more challenging concepts, and each page features a different exercise to ensure better focus and retention. With large fonts, simple instructions, and an answer key at the back, this book is perfect for anyone who wants to help children improve their math skills.

#TOP 5

Sacred Geometry: Language of the Angels

Heath, Richard
Inner Traditions
Jan 5, 2021
Sacred Geometry: Language of the Angels Cover
Sacred Geometry: Language of the Angels

The book "Sacred Geometry: Language of the Angels" by Richard Heath explores how ancient monuments reflect wisdom transmitted from the angelic orders. Heath decodes the angelic science hidden within a wide range of monuments and sites, including Carnac in Brittany, the Great Pyramid in Egypt, and Stonehenge in England. He explains how the angels transmitted megalithic science to early humans to further our conscious development and how the number science behind ancient monuments gave rise to religions and spiritual practices. This book is a fascinating read for anyone interested in numerology, ancient monuments, and spirituality.

#TOP 6

The Math Book (DK Big Ideas)

DK
Feb 28, 2023
The Math Book (DK Big Ideas) Cover
The Math Book (DK Big Ideas)

The Math Book (DK Big Ideas) is a comprehensive overview of math for novices and experts alike. Packed with over 85 key ideas and events in the development of mathematics, this book uses eye-catching graphics and easy-to-follow text to make topics accessible for people at any level of understanding. The book explores big questions such as how math helps us predict the future and how it contributes to our understanding of the world. From ancient ideas to modern cryptography, The Math Book is a captivating introduction to the world's most famous theorems, mathematicians, and movements. Highly recommended for anyone interested in the subject.

Proofs from THE BOOK

Aigner, Martin
Ziegler, Günter M.
Hofmann, Karl H.
Springer
Jul 6, 2018
Proofs from THE BOOK Cover
Proofs from THE BOOK

The sixth edition of "Proofs from THE BOOK" by Martin Aigner and Günter Ziegler features a new chapter on Van der Waerden’s permanent conjecture and additional proofs in other chapters. The book has received high praise for its ability to present complex mathematical concepts in an accessible and enjoyable way for readers of all levels. The authors' passion for mathematics shines through in their carefully selected examples and clear explanations. This book is a valuable addition to any mathematician's library and a testament to the beauty of mathematical proofs.

#TOP 8

A Beginner's Guide to Constructing the Universe: Mathematical Archetypes of Nature, Art, and Science

Schneider, Michael S.
HarperPerennial
Sep 29, 1995
A Beginner's Guide to Constructing the Universe: Mathematical Archetypes of Nature, Art, and Science Cover
A Beginner's Guide to Constructing the Universe: Mathematical Archetypes of Nature, Art, and Science

A Beginner's Guide to Constructing the Universe is a fascinating exploration of the mathematical patterns that underpin the natural world. Michael Schneider combines science, philosophy, and art to show how geometric design can be found at every level of the universe, from atoms to galaxies, and how it influences human affairs. The book also delves into numerical and geometric symbolism throughout history, making it an education in both the visible and invisible aspects of our world. Highly recommended for anyone interested in the mysteries of the cosmos.

#TOP 9

Euclid's Elements

Euclid, AU
Densmore, Dana
Heath, Thomas L.
Green Lion Press
Jan 1, 2002

The Green Lion Press edition of Euclid's Elements is a must-have for students and teachers alike. The classic Heath translation is presented in a new layout with ample space and margins, making it easy to read and follow. While there are minimal notes, the new index and glossary are helpful. Euclid is considered the most celebrated mathematician of all time, and his Elements is said to have had a greater influence on the human mind than any other work except the Bible. This edition is an affordable and sturdy sewn hardcover that will delight anyone interested in mathematics history books.

#TOP 10

Number Theory (Dover Books on Mathematics)

George E. Andrews
Dover Publications
Oct 12, 1994
Number Theory (Dover Books on Mathematics) Cover
Number Theory (Dover Books on Mathematics)

The "Number Theory" book by Dover Publications is an excellent introduction to the topic for both mathematics majors and liberal arts students. The author uses a combinatorial approach to cover the basics of number theory and offers an outstanding introduction to partitions, multiplicativity-divisibility, quadratic congruences, additivity, and more. The book also emphasizes the value of numerical examples in number theory and the role of computers in obtaining such examples. The exercises provide opportunities for constructing numerical tables with or without a computer, which helps students derive conjectures and understand theorems. Overall, this book is a valuable addition to Dover's magnificent mathematics list.

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Frequently Asked Questions (FAQs)

1. What subject is number theory?

number theory, branch of mathematics concerned with properties of the positive integers (1, 2, 3, …). Sometimes called “higher arithmetic,” it is among the oldest and most natural of mathematical pursuits. Number theory has always fascinated amateurs as well as professional mathematicians.

2. Is studying number theory hard?

Number theory may not seem like the most practical thing to learn but it gets used in group theory, discrete math, and other typical third year math courses. It's not that hard. The proofs and derivations are very straightforward, and it has a lot of useful and interesting applications, such as cryptology.

3. Is number theory applied or pure?

Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions.

Editor's Notes

During our number theory book research, we found 1,000+ number theory book products and shortlisted 10 quality products. We collected and analyzed 12,585 customer reviews through our big data system to write the number theory books list. We found that most customers choose number theory books with an average price of $14.41.

Written by
Wilson Cook Avatar

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.