An Introduction to Mathematical Cryptography

Nonfiction, Science & Nature, Mathematics, Number Theory, Computers, Advanced Computing, Theory
Cover of the book An Introduction to Mathematical Cryptography by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman ISBN: 9781493917112
Publisher: Springer New York Publication: September 11, 2014
Imprint: Springer Language: English
Author: Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
ISBN: 9781493917112
Publisher: Springer New York
Publication: September 11, 2014
Imprint: Springer
Language: English

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 Diffie**–**Hellmann 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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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:

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.

More books from Springer New York

Cover of the book The Development of Word Meaning by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Cover of the book Resilience in Children, Adolescents, and Adults by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Cover of the book Cell Cycle Regulation and Differentiation in Cardiovascular and Neural Systems by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Cover of the book More Calculus of a Single Variable by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Cover of the book Reviews of Environmental Contamination and Toxicology by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Cover of the book Life-Cycle Assessment of Semiconductors by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Cover of the book Computational Modeling of Biological Systems by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Cover of the book Advances in Type-2 Fuzzy Sets and Systems by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Cover of the book Human Development and Criminal Behavior by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Cover of the book An Introduction to Traffic Flow Theory by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Cover of the book Integrating Routing Decisions in Public Transportation Problems by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Cover of the book Practical Controversies in Medical Management of Stone Disease by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Cover of the book Recent Trends of Mobile Collaborative Augmented Reality Systems by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Cover of the book Community-Based Participatory Research for Improved Mental Healthcare by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Cover of the book Run-time Adaptation for Reconfigurable Embedded Processors by Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy