Mathematics

Appropriate for most courses in Number Theory.

This book effectively integrates computing algorithms into the number theory curriculum using a heuristic approach and strong emphasis on proofs. Its in-depth coverage of modern applications considers the latest trends and topics, such as elliptic curves—a subject that has seen a rise in popularity due to its use in the proof of Fermat's Last Theorem.

• Offers a wealth of platform-independent computer activities (stressing the fundamental algorithms), allowing students to discover interesting properties of integers and work toward proving these properties. Pg.___

• Discusses applications to cryptography in detail, examining all of the commonly used public-key cryptographic methods. Pg.___

• Provides a clear presentation of primality testing and factoring, guiding students through numerous extended examples. Pg.___

• Includes coverage of advanced topics not treated in most other texts, such as binary quadratic forms and elliptic curves. Pg.___

• Encourages cooperative learning through over 50 group projects. Pg.___

• Features over 500 worked examples, over 1,000 exercises—many of which are computer projects—and over 50 extended end-of-chapter exercises which are suitable for group projects. Pg.___

• Web site offering instruction in Maple and Mathematica for the text computer projects. Pg.___

 1. Introduction.


 2. Divisibility and Primes.


 3. Modular Arithmetic.


 4. Fundamental Theorems of Modular Arithmetic.


 5. Cryptography.


 6. Primality Testing and Factoring.


 7. Primitive Roots.


 8. Applications.


 9. Quadratic Congruences.


10. Applications.


11. Continued Fractions.


12. Factoring Methods.


13. Diophantine Approximations.


14. Diophantine Equations.


15. Arithmetical Functions and Dirichlet Series.


16. Distribution of Primes.


17. Quadratic Reciprocity Law


18. Binary Quadratic Forms.


19. Elliptic Curves.


Appendix A: Mathematical Induction.


Appendix B: Binomial Theorem.


Appendix C: Algorithmic Complexity and O-notation.


Answers and Hints.


Index of Notation.


Index.

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©2004 | Prentice Hall | Paper | Out of Stock
ISBN-10: 0321247086 | ISBN-13: 9780321247087

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

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©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394739 | ISBN-13: 9780321394736
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©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321394747 | ISBN-13: 9780321394743
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©2006 | Prentice Hall | Study Card; 6 pp | Instock
ISBN-10: 0321394763 | ISBN-13: 9780321394767
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©2008 | Prentice Hall | Multiple Media Package | Instock
ISBN-10: 0321517199 | ISBN-13: 9780321517197

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©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
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©1997 | Prentice Hall | Paper; 195 pp | Instock
ISBN-10: 0136492037 | ISBN-13: 9780136492030
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Finite Mathematics Study Card
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©2006 | Prentice Hall | Study Card | Instock
ISBN-10: 0321374398 | ISBN-13: 9780321374394
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Flash Review Series: Algebra
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©2004 | Prentice Hall | Paper | Instock
ISBN-10: 0321143094 | ISBN-13: 9780321143099
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Graphing Calculator Reference Card, 3/E
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©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
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©2006 | Prentice Hall | Study Card; 0 pp | Out of Stock
ISBN-10: 0321336542 | ISBN-13: 9780321336545

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©2000 | Prentice Hall | Paper; 48 pp | Instock
ISBN-10: 0201728966 | ISBN-13: 9780201728965
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©2000 | Prentice Hall | Paper | Instock
ISBN-10: 0321069188 | ISBN-13: 9780321069184
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Pearson TI Rebate Coupon $15, 2/E
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©2009 | Prentice Hall | Paper | Instock
ISBN-10: 0321566041 | ISBN-13: 9780321566041

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©2006 | Prentice Hall | Paper; 300 pp | Instock
ISBN-10: 0321473329 | ISBN-13: 9780321473325
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©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
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©2007 | Prentice Hall | Study Card | Instock
ISBN-10: 0321438582 | ISBN-13: 9780321438584
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Stand-alone Access Code Tutor Center
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©2008 | Prentice Hall | Access Code Card | Instock
ISBN-10: 0201721708 | ISBN-13: 9780201721706
URL:  http://www.aw-bc.com/tutorcenter
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