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# The Mathematics of Encryption: An Elementary Introduction by Steven J. Miller, Margaret B Cozzens, Margaret Cozzens (Hardback, 2013)

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### The Mathematics of Encryption: An Elementary Introduction (Mathematical World) b

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### USED (LN) The Mathematics of Encryption: An Elementary Introduction (Mathematica

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## About this product

### Description

- DescriptionHow quickly can you compute the remainder when dividing $109837^{97}$ 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 eugh mathematics to explore modern encryption methods, with thing 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.
- Author BiographyMargaret Cozzens , DIMACS, Rutgers University, Piscataway, NJ, USA Steven J. Miller , Williams College, Williamstown, MA, USA

### Key Features

- Author(s)Margaret B Cozzens,Margaret Cozzens,Steven J. Miller
- PublisherAmerican Mathematical Society
- Date of Publication30/10/2013
- LanguageEnglish
- FormatHardback
- ISBN-100821883216
- ISBN-139780821883211
- SubjectManagement & Business: General
- Series TitleMathematical World
- Series Part/Volume Number29

### Publication Data

- Place of PublicationProvidence
- Country of PublicationUnited States
- ImprintAmerican Mathematical Society
- Content Noteillustrations

### Dimensions

- Width182 mm
- Height251 mm
- Spine18 mm

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