
Number Theory
American Mathematical Society (Publisher)
Published on 30. January 2021
Book
Paperback/Softback
552 pages
978-1-4704-5275-9 (ISBN)
Description
Number Theory is a 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, arithmetic functions, and so on. It also introduces several more advanced topics including congruences of higher degree, algebraic number theory, combinatorial number theory, primality testing, and cryptography. The development is carefully laid out with ample illustrative examples and a treasure trove of beautiful and challenging problems. The exposition is both clear and precise.
The book is suitable for both graduate and undergraduate courses with enough material to fill two or more semesters and could be used as a source for independent study and capstone projects. Freud and Gyarmati are well-known mathematicians and mathematical educators in Hungary, and the Hungarian version of this book is legendary there. The authors' personal pedagogical style as a facet of the rich Hungarian tradition shines clearly through. It will inspire and exhilarate readers.
The book is suitable for both graduate and undergraduate courses with enough material to fill two or more semesters and could be used as a source for independent study and capstone projects. Freud and Gyarmati are well-known mathematicians and mathematical educators in Hungary, and the Hungarian version of this book is legendary there. The authors' personal pedagogical style as a facet of the rich Hungarian tradition shines clearly through. It will inspire and exhilarate readers.
Reviews / Votes
I 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." - Bela Bajnok, Gettysburg College, The American Mathematical MonthlyMore details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Weight
983 gr
ISBN-13
978-1-4704-5275-9 (9781470452759)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Robert Freud, University Eotvos Lorand, Budapest, Hungary and Edit Gyarmati
Content
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
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