Cryptological mathematics

Robert Edward Lewand

214 pages, parution le 01/01/2000

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Résumé

Cryptological Mathematics introduces the reader to elementary yet rigorous mathematics from several different branches of the subject including number theory, abstract algebra, matrix algebra, probability, and statistics, all of which play a role in enciphering and deciphering secret messages. And it does so in a light-hearted fashion, thanks to the carryings-on of the book's three main characters, Beth, Stephanie and Molly.

The book can be used at several different levels. Those interested in learning how to encipher messages using a variety of symmetric and asymmetric schemes will learn those techniques in this volume. Those interested in learning the mathematical foundations of these techniques will learn how and why the enciphering schemes actually work. And those who arc looking for some challenging computer programming exercises will also find material in this book to keep them busy. So the book may be used profitably by amateur cryptographers, motivated liberal arts students, and mathematics or computer

Whether readers are interested in cryptology, mathematics, or computer science, they will discover engaging and delightful material in this volume.

Contents

1- Monoalphabetic Substitution Ciphers

Well-Ordering Axiom, Principle of Mathematical Induction
Prime Numbers, Division Algorithm, Greatest Common Divisor
Relatively Prime Integers, Fundamental Theorem of Arithmetic
Modular Arithmetic
Simple Ciphers
Cryptanalysis of Monoalphabetic Substitution Ciphers
Personalities

2- Polyalphabetic Substitution Ciphers

The Multiplication Principle
Permutations and Combinations
Probability
Independent Events and Expected Number
Disguising the Frequencies
Personalities

3- Polygraphic Substitution Ciphers

Elementary Polygraphic Substitution Ciphers
Elementary Matrix Theory
Hill's System
Personalities

4- Public Key Cryptography

More Number Theory
The RSA Algorithm
Two Examples
Other Illustrations of Public Key Cryptography
Personalities

L'auteur - Robert Edward Lewand

Robert Edward Lewand received his PhD in mathematics from the University of Virginia. He is the co-author of two books: Expert System Development, and Intelligent Systems Design. He has delivered numerous talks and published extensively in professional journals largely in the areas of expert systems and artificial intelligence. He has been the recipient of several awards: Outstanding Teacher in the Faculty of Science (from Coucher College, 1980), Fulbright Faculty Exchange Award (Great Britain, 1987), Outstanding Scholarship Award (Goucher College, 1989), and the Caroline Doebler Bruckerl Award for the Outsanding Faculty Member (Goucher College, 1999).

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Robert Edward Lewand
Parution	01/01/2000
Nb. de pages	214
Format	17,5 x 25,5
Couverture	Broché
Poids	381g
Intérieur	Noir et Blanc
EAN13	9780883857199
ISBN13	978-0-88385-719-9