Vazzana / Garth Introduction to Number Theory, 2nd Edition

2. Auflage 2015
ISBN: 978-1-4987-1750-2
Verlag: CRC Press
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 426 Seiten

Reihe: Textbooks in Mathematics

The authors of this classroom-tested, student-friendly text illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems such as congruences in the ISBN system, modular arithmetic, and Euler’s theorem in RSA encryption and quadratic residues in the construction of tournaments. The book interweaves the theoretical development of the material with Mathematica® and Maple™ calculations, while giving brief tutorials on the software in the appendices.

Zielgruppe

Instructors and students in undergraduate number theory courses. It would also be useful to independent students of this topic.

Autoren/Hrsg.

Vazzana, Anthony

Garth, David

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik

Inhaltsverzeichnis

Introduction. Divisibility. Greatest common divisor. Primes. Congruences. Special congruences. Primitive roots. Cryptography. Quadratic residues. Applications of quadratic residues. Diophantine equations. Continued fractions. Applications of continued fractions. Arithmetic functions. Large primes. Analytic number theory. Elliptic curves. Logic and number theory.

Über Autor(innen)

Tony Vazzana and David Garth are professors of mathematics at Truman State University.