Wolfram Library Archive

Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings

Introduction to Number Theory, 2nd Edition

Martin Erickson
Anthony Vazzana
David Garth
Book information

Publisher: CRC Press (Boca Raton, FL)
Copyright year: 2016
ISBN: 9781498717496
Medium: Hardcover
Includes: website
Pages: 414
Out of print?: N
Buy this book
Book cover image

Introduction to Number Theory is a classroom-tested, student-friendly text that covers a diverse array of number theory topics, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments such as cryptography, the theory of elliptic curves, and the negative solution of Hilbert’s tenth problem. The authors 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.

Ideal for a one- or two-semester undergraduate-level course, this Second Edition:

Features a more flexible structure that offers a greater range of options for course design
Adds new sections on the representations of integers and the Chinese remainder theorem
Expands exercise sets to encompass a wider variety of problems, many of which relate number theory to fields outside of mathematics (e.g., music)
Provides calculations for computational experimentation using SageMath, a free open-source mathematics software system, as well as Mathematica® and Maple™, online via a robust, author-maintained website
Includes a solutions manual with qualifying course adoption

By tackling both fundamental and advanced subjects―and using worked examples, numerous exercises, and popular software packages to ensure a practical understanding―Introduction to Number Theory, Second Edition instills a solid foundation of number theory knowledge.

*Mathematics > Number Theory