Number Theory
Seiten
2021
American Mathematical Society (Verlag)
978-1-4704-5275-9 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-5275-9 (ISBN)
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, and so on. It also introduces several more advanced topics, including congruences of higher degree and algebraic number theory.
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.
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.
Robert Freud, University Eotvos Lorand, Budapest, Hungary and Edit Gyarmati
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
| Erscheinungsdatum | 02.09.2020 |
|---|---|
| Reihe/Serie | Pure and Applied Undergraduate Texts |
| Verlagsort | Providence |
| Sprache | englisch |
| Gewicht | 983 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| ISBN-10 | 1-4704-5275-8 / 1470452758 |
| ISBN-13 | 978-1-4704-5275-9 / 9781470452759 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
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