Description: Elementary Number Theory, Cryptography and Codes, Paperback by Baldoni, M. Welleda; Ciliberto, Ciro; Cattaneo, Giulia Maria Piacentini, ISBN 3540691995, ISBN-13 9783540691990, Like New Used, Free shipping in the US
In this volume one finds basic techniques from algebra and number theory (. congruences, unique factorization domains, finite fields, quadratic residues, primality tests, continued fractions, etc.) which in recent years have proven to be extremely useful for applications to cryptography and coding theory. Both cryptography and codes have crucial applications in our daily lives, and they are described here, while the complexity problems that arise in implementing the related numerical algorithms are also taken into due account. Cryptography has been developed in great detail, both in its classical and more recent aspects. In particular public key cryptography is extensively discussed, the use of algebraic geometry, specifically of elliptic curves over finite fields, is illustrated, and a final chapter is devoted to quantum cryptography, which is the new frontier of the field. Coding theory is not discussed in full; however a chapter, sufficient for a good introduction to the subject, has been devoted to linear codes. Each chapter ends with several complements and with an extensive list of exercises, the solutions to most of which are included in the last chapter.
Though th contains advanced material, such as cryptography on elliptic curves, Goppa codes using algebraic curves over finite fields, and the recent AKS polynomial primality test, the authors objective has been to keep the exposition as self-contained and elementary as possible. Therefore th will be useful to students and researchers, both in theoretical (. mathematicians) and in applied sciences (. physicists, engineers, computer scientists, etc.) seeking a friendly introduction to the important subjects treated here. Th will also be useful for teachers who intend to give courses on these topics.
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Book Title: Elementary Number Theory, Cryptography and Codes
Number of Pages: Xvi, 522 Pages
Language: English
Publication Name: Elementary Number Theory, Cryptography and Codes
Publisher: Springer Berlin / Heidelberg
Publication Year: 2008
Subject: Information Theory, Communication Studies, Number Theory, Databases / General, Discrete Mathematics
Item Weight: 28.9 Oz
Type: Textbook
Author: Maria Welleda Baldoni, Giulia Maria Piacentini Cattaneo, M. Welleda Baldoni, G. M. Piacentini Cattaneo, Ciro Ciliberto
Subject Area: Mathematics, Computers, Language Arts & Disciplines
Item Length: 9.3 in
Series: Universitext Ser.
Item Width: 6.1 in
Format: Trade Paperback
