An Introduction to Number Theory with Cryptography

An Introduction to Number Theory with Cryptography, Second Edition, is an engaging text that covers traditional number theory topics and integrates cryptography, making it accessible to sophomore, junior, and senior undergraduates, as well as advanced high school students and for independent study. It includes over 800 exercises, projects, and computer explorations, increased coverage of cryptography, and new appendices on proof and matrices.

Format: Paperback / softback
Length: 600 pages
Publication date: 21 January 2023
Publisher: Taylor & Francis Ltd

Building upon the resounding success of the inaugural edition, "An Introduction to Number Theory with Cryptography," Second Edition, expands its coverage of the widely renowned and indispensable topic of cryptography, seamlessly integrating it with traditional aspects of number theory. The authors have crafted the text in an engaging and accessible manner, reflecting the growing popularity of number theory. This book is designed to cater to sophomore, junior, and senior undergraduates, as well as advanced high school students, making it an ideal choice for independent study. Additionally, it offers a few more advanced topics for those eager to delve beyond the traditional curriculum.

The second edition boasts a multitude of features, including:

Over 800 meticulously designed exercises, projects, and computer explorations to reinforce learning and hands-on experience
Enhanced coverage of cryptography, encompassing Vigenere, Stream, Transposition, and Block ciphers, along with RSA and discrete log-based systems
Integrated "Check Your Understanding" questions to provide immediate feedback to students
New Appendices on "What is a proof?" and on Matrices to enhance the understanding of foundational concepts
Segregated basic (pre-RSA) cryptography in an earlier chapter to facilitate seamless coverage after the basic material on congruences
Answers and hints for odd-numbered problems to assist students in overcoming challenges

About the Authors:

Jim Kraft, Ph.D., holds a prestigious degree from the University of Maryland, where he received his doctorate in 1987. His extensive research in algebraic number theory has resulted in the publication of numerous scholarly papers. Prior to his teaching career, Dr. Kraft held positions at prestigious institutions such as the University of Rochester, St. Mary's College of California, and Ithaca College. He has also contributed to the field of communications security. Currently, Dr. Kraft serves as a mathematics instructor at the renowned Gilman School.

Larry Washington, Ph.D., is a distinguished scholar with a profound expertise in number theory. He holds a doctorate from Princeton University, obtained in 1974. Dr. Washington has left an indelible mark on the field through his extensive publications, which encompass a wide range of number theory topics, including books on cryptography. His contributions have significantly enriched the understanding and applications of number theory.

Weight: 890g
Dimension: 155 x 234 x 36 (mm)
ISBN-13: 9781032476353
Edition number: 2 ed