9781493917105-1493917102-An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics)

An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics)

3.5
ISBN-13: 9781493917105
ISBN-10: 1493917102
Edition: 2nd ed. 2014
Author: Joseph H. Silverman, Jeffrey Hoffstein, Jill Pipher
Publication date: 2014
Publisher: Springer
Format: Hardcover 555 pages
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Book details

ISBN-13: 9781493917105
ISBN-10: 1493917102
Edition: 2nd ed. 2014
Author: Joseph H. Silverman, Jeffrey Hoffstein, Jill Pipher
Publication date: 2014
Publisher: Springer
Format: Hardcover 555 pages

Summary

Acknowledged authors Joseph H. Silverman , Jeffrey Hoffstein , Jill Pipher wrote An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics) comprising 555 pages back in 2014. Textbook and eTextbook are published under ISBN 1493917102 and 9781493917105. Since then An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics) textbook received total rating of 3.5 stars and was available to sell back to BooksRun online for the top buyback price of $ 29.26 or rent at the marketplace.

Description

This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online.

The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include:

  • classical cryptographic constructions, such as DiffieHellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures;

  • fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms;

  • an in-depth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem.

The second edition of An Introduction

to Mathematical Cryptography includes a significant revision of the material on digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on lattice-based signatures and rejection sampling. Many sections have been rewritten or expanded for clarity, especially in the chapters on information theory, elliptic curves, and lattices, and the chapter of additional topics has been expanded to include sections on digital cash and homomorphic encryption. Numerous new exercises have been included.
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