Description
Overview
This text provides a simple account of classical number theory, set against a historical background that shows the subject’s evolution from antiquity to recent research. Written in David Burton’s engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history. Although primarily intended for use as a textbook in a one semester course at the undergraduate level, it is designed as supplementary reading in mathematics survey courses.
Key Features
• The book is written in easy simple language, providing historical background of the subject.
• Suitable even for beginners’ level, it does not demand specific prerequisites.
• Structured for use in a wide range of number theory courses, of varying length and content.
Chapter 1. Preliminaries
Chapter 2. Divisibility Theory in the Integers
Chapter 3 Primes and Their Distribution
Chapter 4. The Theory of Congruences
Chapter 5. Fermat’s Theorem
Chapter 6. Number-Theoretic Functions
Chapter 7. Euler’s Generalization of Fermat’s Theorem
Chapter 8. Primitive Roots and Indices
Chapter 9. The Quadratic Reciprocity Law
Chapter 10. Introduction to Cryptography
Chapter 11. Numbers of Special Form
Chapter 12. Certain Nonlinear Diophantine Equations
Chapter 13. Representation of Integers as Sums of Squares
Chapter 14. Fibonacci Numbers
Chapter 15. Continued Fractions
Chapter 16. Some Modern Developments Miscellaneous Problems Appendixes
Author: David M.Burton
Publisher: Mcgraw Hill
ISBN-13: 9789355325129
Language: English
Binding: Paper Back
Product Edition: 2024
Country of Origin: India
International Shipping: No
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