Number Theory An Introduction to Mathematics /

• Main Author: Coppel, W.A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: Universitext
• Subjects: Mathematics.; Number theory.; Number Theory.; Mathematics, general.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-89486-7

"Number Theory" is more than a comprehensive treatment of the subject. It is an introduction to topics in higher level mathematics, and unique in its scope; topics from analysis, modern algebra, and discrete mathematics are all included. The book is divided into two parts. Part A covers ke...

Table of Contents:

• Preface
• The Expanding Universe of Numbers
• Divisibility
• More on Divisibility
• Continued Fractions and their Uses
• Hadamards Determinant Problem
• Hensels P-Adic Numbers
• Notations
• Axioms
• 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
• Notations
• Axioms
• Index.