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Number Theory 1st Edition by Robert Freud, Edit Gyarmati ISBN 1470456915 9781470456917

Name: Number Theory 1st Edition by Robert Freud, Edit Gyarmati ISBN 1470456915 9781470456917
SKU: EB-23518950
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Number Theory 1st Edition Róbert Freud Digital Instant Download

Author(s): Róbert Freud, Edit Gyarmati

ISBN(s): 9781470452759, 9781470456917, 1470452758, 1470456915, 2020014015

Edition: 1

File Details: PDF, 9.16 MB

Year: 2020

Language: English

SKU: EB-23518950 Category: Mathematics Tags: Edit Gyarmati, Róbert Freud

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Number Theory 1st Edition by Róbert Freud, Edit Gyarmati – Ebook PDF Instant Download/Delivery: 1470456915, 978-1470456917
Full dowload Number Theory 1st Edition after payment

Product details:

ISBN 10: 1470456915
ISBN 13: 978-1470456917
Author: Róbert Freud, Edit Gyarmati

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 1st Table of contents:

Introduction to Number Theory
- Basic Concepts
- Divisibility and the Euclidean Algorithm
- Prime Numbers
Congruences and Modular Arithmetic
- Basic Properties of Congruences
- The Chinese Remainder Theorem
- Applications of Modular Arithmetic
Diophantine Equations
- Linear Diophantine Equations
- The Theory of Solutions
Theory of Prime Numbers
- Distribution of Primes
- Prime Number Theorem
- Factorization
Theorems in Number Theory
- Fermat’s Little Theorem
- Wilson’s Theorem
- Euler’s Theorem
Quadratic Reciprocity and Higher Powers
- Legendre’s Symbol
- Law of Quadratic Reciprocity
Applications of Number Theory
- Cryptography
- Public-Key Cryptosystems (RSA Algorithm)
- Error-Correcting Codes
Advanced Topics in Number Theory
- Algebraic Number Theory
- Zeta Functions
- Modular Forms