Elementary Number Theory with Applications
The Complete Guide
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Product details:
- Edition number 2
- Publisher Elsevier Science
- Date of Publication 5 June 2007
- ISBN 9780123724878
- Binding Hardback
- No. of pages800 pages
- Size 234x190 mm
- Weight 1380 g
- Language English
- Illustrations Illustrated 0
Categories
Long description:
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.
Elementary Number Theory with Applications 2e is ideally suited for undergraduate students and is especially appropriate for prospective and in-service math teachers at the high school and middle school levels.
Table of Contents:
Fundamentals; Divisibility Theory; Canonical Decompositions; Linear Diophantine Equations and Congruences; Congruence Applications; Systems of Linear Congruences; Three Classical Milestones; Multiplicative Functions; Cryptology; Primitive Roots and Indices; Quadratic Congruences; Nonlinear Diophantine Equations; Appendix A.1 Proof Methods; Appendix A.2 Web Sites; Tables: Factor Table; Values of Some Arithmetic Functions; Least Primitive Roots Modulo Primes; Indices; References; Solutions to Odd-Numbered Exercises
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