An Adventurer's Guide to Number Theory (Dover Books on Mathematics)

This book is a delightful guide to number theory that presents the classical discoveries of great mathematicians like Pythagoras, Euclid, Diophantus, Fermat, Euler, Lagrange, and Gauss in an engaging and historically oriented manner.

The author encourages readers to think creatively about numbers as abstract concepts and covers a range of topics including primes, divisibility, beginning algebra, geometry, calculus, set theory, quadratic forms, residue arithmetic, and more.

The book includes unusual features such as original problems from Diophantus' Arithmetica, proofs of Fermat's Last Theorem for exponents 3 and 4, and two proofs of Wilson's Theorem.

Additionally, the book features a table of theorems grouped into categories according to subject and an index of mathematicians.

With its imaginative and playful approach to number theory, this book is perfect for readers with a mathematical bent who want to explore the fascinating realm of numbers in a fun and engaging way.