Elementary Theory of Numbers (Dover Books on Mathematics)

Book Details

• Publisher: Dover

• Author: William Judson LeVeque

• Language: English

• Edition: New Edition

• ISBN: 9780486663487

• Pages: 160

• Cover: Paperback

• Dimensions: 8.4 x 5.5 x 0.4 inches

About The Book

Introduction to Number Theory by William Judson LeVeque is an exceptional text designed to introduce number theory to readers with limited formal mathematical training. This accessible yet comprehensive work is perfect for freshman- and sophomore-level courses in arts and science curricula, teacher-training programs, and enrichment programs for high school students. The text is filled with simple problems that not only stimulate readers' interest but also challenge their abilities and strengthen their mathematical understanding.

The book is structured around key concepts in number theory, including the Euclidean algorithm, congruences, powers of integers modulo m, continued fractions, Gaussian integers, and Diophantine equations. Requiring only a sound background in high-school mathematics, it offers students an excellent foundation in a branch of mathematics that has greatly influenced higher pure mathematics. The text also highlights number theory's role in stimulating powerful general methods for solving special problems, such as the Fermat conjecture and the prime number theorem.

With black-and-white illustrations throughout, this book is a fantastic introduction to number theory, inspiring readers with its rich history and practical applications in both mathematics and real-world phenomena.