Elementary Number Theory with Applications~tqw~ darksiderg

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  Elementary Number Theory with Applications~tqw~ darksiderg
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• Size:
  8.1 MB
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• Added:
  09/17/2008
• Last check:
  2009-06-08 13:10:17
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  *******************************************************************************<br /> Elementary Number Theory with Applications <br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 8,492,279 bytes<br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> This second edition updates the well-regarded 2001 publication with new short <br /> sections on topics like Catalan numbers and their relationship to Pascal's <br /> triangle and Mersenne numbers, Pollard rho factorization method, Hoggatt-Hensell <br /> identity. Koshy has added a new chapter on continued fractions. The unique <br /> features of the first edition like news of recent discoveries, biographical <br /> sketches of mathematicians, and applications--like the use of congruence in <br /> scheduling of a round-robin tournament--are being refreshed with current <br /> information. More challenging exercises are included both in the textbook and in <br /> the instructor's manual.<br /> <br /> Table Of Contents<br /> <br /> Preface <br /> A Word to the Student <br /> 1 Fundamentals 1<br /> 2 Divisibility Theory 65<br /> 3 Canonical Decompositions 147<br /> 4 Linear Diophantine Equations and Congruences 191<br /> 5 Congruence Applications 243<br /> 6 Systems of Linear Congruences 287<br /> 7 Three Classical Milestones 311<br /> 8 Multiplicative Functions 343<br /> 9 Cryptology 397<br /> 10 Primitive Roots and Indices 437<br /> 11 Quadratic Congruences 477<br /> 12 Nonlinear Diophantine Equations 533<br /> App. A.1: Proof Methods 583<br /> App. A.2: Web Sites 590<br /> References 611<br /> Solutions to Odd-Numbered Exercises 619<br /> Credits 705<br /> Index 709<br /> <br /> Product Details<br /> <br /> * ISBN: 0123724872<br /> * ISBN-13: 9780123724878<br /> * Format: Textbook Hardcover, 771pp<br /> * Publisher: Elsevier Science<br /> * Pub. Date: May 2007<br /> * Edition Number: 2<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader
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