An Introduction to Number Theory

• Main Authors: Everest, Graham (Author), Ward, Thomas (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2005.
• Series: Graduate Texts in Mathematics, 232
• Subjects: Mathematics.; Number theory.; Number Theory.

An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers, the theme of factorization is revisited several times throughout the book to illustrate how the ideas handed down from Euclid continue to r...

Table of Contents:

• A Brief History of Prime
• Diophantine Equations
• Quadratic Diophantine Equations
• Recovering the Fundamental Theorem of Arithmetic
• Elliptic Curves
• Elliptic Functions
• Heights
• The Riemann Zeta Function
• The Functional Equation of the Riemann Zeta Function
• Primes in an Arithmetic Progression
• Converging Streams
• Computational Number Theory.