Description
Book SynopsisA newly translated and revised edition of the most popular introductory textbook on the subject in Hungary. The book covers the usual topics of introductory number theory: divisibility, primes, Diophantine equations, and so on. It also introduces several more advanced topics, including congruences of higher degree and algebraic number theory.
Trade ReviewI think the book is not only the best book on number theory, but the best textbook I have ever seen. Beginning students can gain a solid foundation in number theory, advanced students can challenge themselves with the often deep and always delightful exercises, and everyone, including experts in the field, can discover new topics or attain a better understanding of familiar ones. As with masterpieces in music in literature, one gets more out of it with each additional visit." - Béla Bajnok, Gettysburg College,
The American Mathematical MonthlyTable of Contents
- Introduction
- Chapter 1. Basic Notations
- Chapter 2. Congruences
- Chapter 3. Congruences of Higher Degree
- Chapter 4. Legendre and Jacobi Symbols
- Chapter 5. Prime Numbers
- Chapter 6. Arithmetic Functions
- Chapter 7. Diophantine Equations
- Chapter 8. Diophantine Approximation
- Chapter 9. Algebraic and Transcendental Numbers
- Chapter 10. Algebraic Number Fields
- Chapter 11. Ideals
- Chapter 12. Combinatorial Number Theory
- Answers and Hints
- Historical Notes
- Tables
- Index
