The Mathematics of Encryption: An Elementary Introduction (Mathematical World) by Margaret Cozzens (PDF)

Description

How quickly can you compute the remainder when dividing by 120143? Why would you even want to compute this? And what does this have to do with cryptography? Modern cryptography lies at the intersection of mathematics and computer sciences, involving number theory, algebra, computational complexity, fast algorithms, and even quantum mechanics. Many people think of codes in terms of spies, but in the information age, highly mathematical codes are used every day by almost everyone, whether at the bank ATM, at the grocery checkout, or at the keyboard when you access your email or purchase products online. This book provides a historical and mathematical tour of cryptography, from classical ciphers to quantum cryptography. The authors introduce just enough mathematics to explore modern encryption methods, with nothing more than basic algebra and some elementary number theory being necessary. Complete expositions are given of the classical ciphers and the attacks on them, along with a detailed description of the famous Enigma system. The public-key system RSA is described, including a complete mathematical proof that it works. Numerous related topics are covered, such as efficiencies of algorithms, detecting and correcting errors, primality testing and digital signatures. The topics and exposition are carefully chosen to highlight mathematical thinking and problem solving. Each chapter ends with a collection of problems, ranging from straightforward applications to more challenging problems that introduce advanced topics. Unlike many books in the field, this book is aimed at a general liberal arts student, but without losing mathematical completeness.

User’s Reviews

Editorial Reviews: Review The authors have done an excellent job of presenting this material in as painless and accessible way as possible. –Mathematical Association of America

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is written is such a great style. It is easy to read and I strongly recommend this book as a starter if you want to learn the history of encryption. If you are looking for a book that describes the latest technology in encryption, this is not it. However to understand encryption this is your starting point,

⭐Very good, interesting text. I used it in a cryptography course, and I liked it.

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