Mathematics

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.

• 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.

 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.

Abstract Algebra  (Mathematics)
Cryptography  (Mathematics)

Instructors Solutions Manual for IRC Download only
Hardy
©2003 | Prentice Hall | On-line Supplement | Instock
ISBN-10: 0132210428 | ISBN-13: 9780132210423
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Addison-Wesley's Algebra Review
Addison-Wesley
©2004 | Prentice Hall | Paper | Out of Stock
ISBN-10: 0321247086 | ISBN-13: 9780321247087

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

Algebra Review Study Card, 2/E
D'Ippolito & Generazzo
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
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Allied Health Study Card, 2/E
Forshier
©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
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Basic Math Review Card, 2/E
Addison-Wesley
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
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Concept Videos: Algebra
Addison-Wesley
©2008 | Prentice Hall | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197

Concept Videos: Basic Math & Prealgebra
Addison-Wesley
©2008 | Prentice Hall | 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 | Prentice Hall | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
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Finite Mathematics Study Card
Addison-Wesley
©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321374398 | ISBN-13: 9780321374394
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Flash Review Series: Algebra
Becker
©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099
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Graphing Calculator Reference Card, 3/E
Ripley
©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394755 | ISBN-13: 9780321394750
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Graphing Calculator Tutorial CD
Addison-Wesley
©2006 | Prentice Hall | CD-ROM Only | Instock
ISBN-10: 0321357744 | ISBN-13: 9780321357748
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Interwrite Personal Response System
EduCue, Addison-Wesley & Benjamin Cummings
©2004 | Prentice Hall | Electronic Supplement | Instock
ISBN-10: 0321267354 | ISBN-13: 9780321267351

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

Mathematics Spanish Glossary, 2/E
Lara & Peeples
©2000 | Prentice Hall | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965
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Overcoming Math Anxiety, 2/E
Davidson & Levitov
©2000 | Prentice Hall | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
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Pearson TI Rebate Coupon $15, 2/E
Pearson
©2009 | Prentice Hall | Paper | Instock
ISBN-10: 0321566041 | ISBN-13: 9780321566041

Prealgebra Review Workbook
Wheel
©2006 | Prentice Hall | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
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Review of Algebra, A
Howard
©2002 | Prentice Hall | Paper; 224 pp | Instock
ISBN-10: 0201773473 | ISBN-13: 9780201773477
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Saleable Technology Bundle, 2/E
Pearson
©2009 | Prentice Hall | Multiple Media Package | Estimated Availability : 09/01/2008
ISBN-10: 0321561880 | ISBN-13: 9780321561886

Spanish Basic Math Study Card
Leonarte
©2007 | Prentice Hall | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
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Stand-alone Access Code Tutor Center
Addison-Wesley
©2008 | Prentice Hall | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
URL:  http://www.aw-bc.com/tutorcenter
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