Number Theory

This book is a modern introduction to the theory of numbers emphasizing its connections with other branches of mathematics. It provides an understanding of the nature and extent of mathematics, and covers standard topics in number theory.

This two-volume book is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. It attempts to provide such an understanding of the nature and extent of mathematics. The book covers standard topics in number theory, but also places the whole subject into its historical context. It contains a treasury of proofs, several of which are gems seldom seen in number theory books. Part A is accessible to a first-year undergraduate and deals with elementary number theory. Part B is more advanced and gives the reader an idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches a broad picture is obtained. This book will appeal to undergraduate students in mathematics and engineering.

A "treasury of proofs containing mainly carefully chosen proofs, several of which are gems seldom seen in number theory books Covers standard topics in number theory but also places the whole subject into its historical context Includes supplementary material: sn.pub/extras

Contenu
The arithmetic of quadratic forms.- The geometry of numbers.- The number of prime numbers.- A character study.- Uniform distribution and ergodic theory.- Elliptic functions.- Connections with number theory.