What can you say about a classic? Dudley’s number theory text was first published in 1969; this volume is a faithful reprint of the second edition, from 1978. The writing style is engaging and at a level which makes this book accessible to a wide audience. There are 23 chapters that offer a variety of choices for coverage. The selection of exercises is excellent. There are enough “easy” problems so as not to discourage a student, but also enough that challenge as well. A perfect balance!
Even if you choose not to use Dudley’s book as the required text, its availability in paperback makes it an excellent resource available to everyone.
Herbert Kasube is Professor of Mathematics at Bradley University in Peoria, IL.
Linear Diophantine Equations
Fermat's and Wilson's Theorems
The Divisors of an Integer
Euler's Theorem and Function
Numbers of Other Bases
Infinite Descent and Fermat's Conjecture
Sums of Two Squares
Sums of Four Squares
x2 – Ny2 = 1
Bounds for π(x)
Formulas for Primes
Proof by Induction
Factor Table for Integers Less Than 10,000
Answers to Selected Exercises
Answers to Selected Odd-Numbered Problems
Comments on Selected Odd-Numbered Problems