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Number theory : a lively introduction with proofs, applications, and stories / James E. Pommersheim, Tim K. Marks, Erica L. Flapan.
Author:
Pommersheim, James E. (James Erik), 1967-
Imprint:Hoboken, NJ : Wiley, c2010.
Descriptionxxi, 763 p. : ill. (some col.) ; 25 cm.
Note:Includes index.
Note:Prologue: Number theory through the ages -- Numbers, rational and irrational -- Mathematical induction -- Divisibility and primes -- The Euclidean algorithm -- Linear Diophantine equations -- The fundamental theorem of arithmetic -- Modular arithmetic -- Modular number systems -- Exponents modulo n -- Primitive roots -- Quadratic residues -- Primality testing -- Gaussian integers -- Continued fractions -- Some nonlinear Diophantine equations.
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