|
 |
|
 |
 |
An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics)
|
by Jeffrey Hoffstein, Jill Pipher, and J.H. Silverman
Sales Rank: 613619
|
List Price: $49.95
$44.95
At Amazon
|
|
Product 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.
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 recent cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem.
Additional topics, including hash functions, pseudorandom number generators, zero-knowledge proofs, digital cash and DES/AES, are briefly described in the final chapter. This book is 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.
About The Author
Dr. Jeffrey Hoffstein is a professor at Brown University since 1989, and has been a visiting professor at several other universities since 1978. His research areas of interest are number theory, automorphic forms, and cryptography. He has co-authored over 50 publications.
Dr. Jill Pipher is a professor at Brown Univesity since 1994 and has been an instructor or professor since 1985. She has been an invited lecturur and has received awards and honors numerous times. Her research areas of interest are harmonic analysis, elliptic PDE, and cryptography. She has recently researched or co-authored over 40 publications.
Dr. Joseph Silverman is a professor at Brown University and has been an instructor or professors since 1982. He was the Chair of the Brown Mathematics department from 2001-2004. He has received numerous fellowships, grants and awards, as well as being a frequently invited lecturer. His research areas of interest are number theory, arithmetic geometry, elliptic curves, dynamical systems and cryptography. He has co-authored over 120 publications and has had over 20 doctoral students under his tutelage.
|
An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics)
List Price: $49.95
Available from Amazon
Price: $44.95
| |
|
|
|
|
