|

Addison-Wesley / Prentice Hall

Mathematics

My Instructor Resource Center :  Log in or request access

Invitation to Cryptology
Thomas H. BarrRhodes College

ISBN-10: 0130889768
ISBN-13:  9780130889768

Publisher:  Pearson
Copyright:  2002
Format:  Paper; 396 pp
Published:  08/31/2001
Status: Instock



For a one-semester undergraduate-level course in Cryptology, Mathematics, or Computer Science.

Designed for either the intelligent freshman (good at math) or for a low-level junior year first course, Cryptology introduces a wide range of up-to-date cryptological concepts along with the mathematical ideas that are behind them. The new and old are organized around a historical framework. A variety of mathematical topics that are germane to cryptology (e.g., modular arithmetic, Boolean functions, complexity theory, etc.) are developed, but they do not overshadow the main focus of the text. Unlike other texts in this field, Cryptology brings students directly to concepts of classical substitutions and transpositions and issues in modern cryptographic methods.

  • Discussions of both classical and modern cryptology.
    • Gives students an up-close and accurate idea of how current-day cryptographic methods work.

  • Engaging writing style.
    • Presents the subject matter in a way that won't intimidate those students who are less familiar with mathematics.

  • A wide-range of material is covered—More than enough for a one-semester course.
    • Gives instructors the freedom to choose the topics they want to cover without having to rely on ancillary materials.

  • A strong historical frame is provided—Guided by mathematical themes and advents of innovations.
    • Helps students understand the historical development and relationship between cryptology and mathematics.

  • Cryptanalysis and polyalphabetic substitutions—Presented in graphical and numerical form.
    • Encourages students to move away from purely pencil-and-paper based cryptanalysis and polyalphabetic ciphers towards computer-manipulated data so they can break keyword polyalphabetic substitutions. Gives instructors a good starting point for involving students in computer programming projects.

  • Case studies on specific encryption algorithms—Presented along with discussions of technical issues and public policy.
    • Allows students to draw connections with their experience using the Internet and other forms of telecommunication.

  • Computation exercises.
    • Gives students ample opportunity to practice using modular arithmetic, matrix arithmetic, algorithms, methods for computing Boolean functions, and methods for computing probabilities.

    • Programming exercises—Guides students toward implementing some algorithms in software or application programs such as spreadsheets and computer algebra systems.

    • Encryption and decryption algorithms exercises—Illustrates the actual workings of all methods discussed in the text for the student.

    • Cryptanalysis exercises—Gives students a clear sense of the difficulties of this activity and how mathematical tools can increase its efficacy.

    • Role-playing exercises connected with public-key protocols—Illuminates the features of key exchange and identification methods for the student.



1. Origins, Examples, and Ideas in Cryptology.

A Crypto-Chronology. Cryptology and Mathematics: Functions. Crypto: Models, Maxims, and Mystique.



2. Classical Cryptographic Techniques.

Shift Ciphers and Modular Arithmetic. Affine Ciphers; More Modular Arithmetic. Substitution Ciphers. Transposition Ciphers. Polyalphabetic Substitutions. Probability and Expectation. The Friedman and Kasiski Tests. Cryptanalysis of the Vingenere Cipher. The Hill Cipher; Matrices.



3. Symmetric Computer-Based Cryptology.

Number Representation. Boolean and Numerical Functions. Computational Complexity. Stream Ciphers and Feedback Shift Registers. Block Ciphers. Hash Functions.



4. Public-Key Cryptography.

Primes, Factorization, and the Euclidean Algorithm. The Merkle-Hellman Knapsack. Fermat's Little Theorem. The RSA Public-Key Cryptosystem. Key Agreement. Digital Signatures. Zero-Knowledge Identification Protocols.



5. Case Studies and Issues.

Case Study I: DES. Case Study II: PGP. Public-Key Infrastructure. Law and Issues Regarding Cryptography.



Glossary.


Bibliography.


Table of Primes.


Answers to Selected Exercises.


Index.

For the Mathematics Discipline

Addison-Wesley's Algebra Review
Addison-Wesley
©2004 | Pearson | Paper | Instock
ISBN-10: 0321247086 | ISBN-13: 9780321247087


Addison-Wesley's Basic Math Review
Addison-Wesley
©2004 | Pearson | Paper | Instock
ISBN-10: 0321247078 | ISBN-13: 9780321247070


Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736


Allied Health Study Card, 2/E
Forshier
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743


Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767


Concept Videos: Algebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197


Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Pearson | Multiple Media Package | Instock
ISBN-10: 032151758X | ISBN-13: 9780321517586


Discovering Algebra: Examples with Keystrokes on the TI-83/TI-82 and TI-85/TI-86, A Laboratory Approach
Pirich & Bigliani
©1997 | Pearson | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030


Finite Mathematics Study Card
Addison-Wesley
©2006 | Pearson | Study Card | Instock
ISBN-10: 0321374398 | ISBN-13: 9780321374394


Flash Review Series: Algebra
Becker
©2004 | Pearson | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099


Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Pearson | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750


Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Pearson | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748


Math for Allied Health Study/Reference Card
Forshier
©2006 | Pearson | Study Card; 0 pp | Out of Stock
ISBN-10: 0321336542 | ISBN-13: 9780321336545


Mathematics Spanish Glossary, 2/E
Lara & Peeples
©2000 | Pearson | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965


Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Pearson | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184


Pearson TI Rebate Coupon $15, 2/E
Pearson
©2009 | Pearson | Paper | Instock
ISBN-10: 0321566041 | ISBN-13: 9780321566041


Prealgebra Review Workbook
Wheel
©2006 | Pearson | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325


Review of Algebra, A
Howard
©2002 | Pearson | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477


Saleable Technology Bundle, 2/E
Pearson
©2009 | Pearson | Multiple Media Package | Estimated Availability : 09/01/2008
ISBN-10: 0321561880 | ISBN-13: 9780321561886


Spanish Basic Math Study Card
Leonarte
©2007 | Pearson | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584


Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Pearson | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706


Pearson Higher Education offers special pricing when you choose to package your text with other student resources. If you're interested in creating a cost-saving package for your students, browse our available packages below, or contact your Pearson Higher Education representative to create your own package.

Package ISBN-10: 0321681886 | ISBN-13: 9780321681881
©2010 | Instock (Additional assembly time required)
Suggested retail price: $86.67  Buy from myPearsonStore

This package contains:

Barr | ©2002 | Pearson | Paper; 396 pp
  • Maple 13 Student Edition CD, 13/E
Maplesoft & Inc. | ©2010 | Pearson | CD-ROM Only