Elementary Number Theory
7th Edition
9355325126
·
9789355325129
© 2024 | Published: July 5, 2023
OverviewThis 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
Preface
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
Index
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
Index
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
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