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Name: Elementary Number Theory with Applications~tqw~ darksiderg
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Elementary Number Theory with Applications

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General Information

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Type.................: Ebook

Part Size............: 8,492,279 bytes



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Posted by............: ~tqw~



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Release Notes

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This second edition updates the well-regarded 2001 publication with new short

sections on topics like Catalan numbers and their relationship to Pascal's

triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell

identity. Koshy has added a new chapter on continued fractions. The unique

features of the first edition like news of recent discoveries, biographical

sketches of mathematicians, and applications--like the use of congruence in

scheduling of a round-robin tournament--are being refreshed with current

information. More challenging exercises are included both in the textbook and in

the instructor's manual.



Table Of Contents




Preface



A Word to the Student


1
Fundamentals
1

2
Divisibility Theory
65

3
Canonical Decompositions
147

4
Linear Diophantine Equations and Congruences
191

5
Congruence Applications
243

6
Systems of Linear Congruences
287

7
Three Classical Milestones
311

8
Multiplicative Functions
343

9
Cryptology
397

10
Primitive Roots and Indices
437

11
Quadratic Congruences
477

12
Nonlinear Diophantine Equations
533


App. A.1: Proof Methods
583


App. A.2: Web Sites
590


References
611


Solutions to Odd-Numbered Exercises
619


Credits
705


Index
709



Product Details



* ISBN: 0123724872

* ISBN-13: 9780123724878

* Format: Textbook Hardcover, 771pp

* Publisher: Elsevier Science

* Pub. Date: May 2007

* Edition Number: 2



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