Cryptography

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42,79 

Springer Undergraduate Mathematics Series

ISBN: 3319948172
ISBN 13: 9783319948171
Autor: Rubinstein-Salzedo, Simon
Verlag: Springer Verlag GmbH
Umfang: xii, 259 S., 10 s/w Illustr., 7 farbige Illustr., 259 p. 17 illus., 7 illus. in color.
Erscheinungsdatum: 17.10.2018
Auflage: 1/2018
Format: 1 x 23.5 x 15.5
Gewicht: 421 g
Produktform: Kartoniert
Einband: Kartoniert

This text studies cryptography from its earliest roots (2000 years ago), to the main cryptosystems used today for secure online communication. Many topics covered – originate from number theory, combinatorics, probability, and abstract algebra. The book is partitioned into three sections; the first part discusses classical ciphers and their cryptanalysis. The second – focuses on modern public key cryptosystems: Diffie-Hellman, ElGamal, RSA, and elliptic curve cryptography. This section analyzes attacks against these systems as well as attacks on the underlying math problems such as various clever factorization algorithms. Specialized topics such as zero knowledge proofs, cryptographic voting, coding theory, and new research are covered in the final section of this book. Aimed toward advanced high school students, undergraduates, and amateur mathematicians interested in cryptography, this book is suitable for independent study; – no prerequisites are assumed and it contains a large selection of problems, ranging from straightforward to -to difficult -that challenge the strongest students.

Beschreibung

This text introduces cryptography, from its earliest roots to cryptosystems used today for secure online communication. Beginning with classical ciphers and their cryptanalysis, this book proceeds to focus on modern public key cryptosystems such as Diffie-Hellman, ElGamal, RSA, and elliptic curve cryptography with an analysis of vulnerabilities of these systems and underlying mathematical issues such as factorization algorithms. Specialized topics such as zero knowledge proofs, cryptographic voting, coding theory, and new research are covered in the final section of this book. Aimed at undergraduate students, this book contains a large selection of problems, ranging from straightforward to difficult, and can be used as a textbook for classes as well as self-study. Requiring only a solid grounding in basic mathematics, this book will also appeal to advanced high school students and amateur mathematicians interested in this fascinating and topical subject.

Autorenporträt

Simon Rubinstein-Salzedo received his PhD in mathematics from Stanford University in 2012. Afterwards, he taught at Dartmouth College and Stanford University. In 2015, he founded Euler Circle, a mathematics institute in the San Francisco Bay Area, dedicated to teaching college-level mathematics classes to advanced high-school students, as well as mentoring them on mathematics research. His research interests include number theory, algebraic geometry, combinatorics, probability, and game theory.

Herstellerkennzeichnung:


Springer Verlag GmbH
Tiergartenstr. 17
69121 Heidelberg
DE

E-Mail: juergen.hartmann@springer.com

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