Applied Algebra
0130674648

Darel W. Hardy, Colorado State Universtiy
Carol L. Walker, New Mexico State Univesity

Publisher: Prentice Hall
Copyright: 2003
Format: Cloth; 420 pp

ISBN-10: 0130674648
ISBN-13:9780130674647

Our Price: £56.99
Status: Not Yet Published
Estimated Availability: 03 Sep 2002

Description

For junior/senior-level courses in Abstract Algebra and Cryptography in departments of Mathematics and Computer Science.

Emphasizing the fact that solid mathematics leads to solid applications, this text builds a mathematical foundation that includes topics in number theory and the theory of infinite fields.
Table Of Contents


 1. Integers and Computer Algebra.


 2. Codes.


 3. Euclidean Algorithm.


 4. Ciphers.


 5. Error Control Codes.


 6. Chinese Remainder Theorem.


 7. Theorems of Fermat and Euler.


 8. Public Key Ciphers.


 9. Finite Fields.


10. Error-Correcting Codes.


11. Advanced Encryption Standard.


12. Polynomial Algorithms and Fast Fourier Transforms.


Appendix A: Hints for Using Technology.


Appendix B: Solutions to Selected Exercises.


Bibliography.


Index.
Features
  • Two complete chapters on Error Correcting Codes.

    • Provides strong coverage of this important topic.

  • An entire chapter devoted to the Rijndael Algorithm—Features the interesting mathematics upon which it is based.

    • Enables students to focus on and understand the recently adopted Advanced Encryption Standard (replacing the Data Encryption Standard) as the default for financial and web transactions.

  • A comprehensive presentation.

    • Provides students with numerous topics in cryptology, number theory, and error correcting codes not found in other texts.

  • Hints for using Maple, MuPAD, and Scientific Notebook.

    • Supplies students with explicit examples of how to use these technology products to perform calculations related to the course, and enables them to better understand the ideas developed in the text.

  • Solutions to selected exercises.

    • Shows students how the solution was worked out—not just the correct answer.

  • Author website—Contains interactive problem sets.

    • Enables users to have an abundance of practice problems.
Instructor Supplements
Instructors Solutions Manual for IRC Download only
Hardy
© 2003 | Prentice Hall | On-line Supplement | Available
ISBN-10: 0132210428 | ISBN-13: 9780132210423