Number theory : a lively introduction with proofs, applications, and stories /
Pommersheim, James E.(James Erik),1967-
Flapan, Erica,1956-
Marks, Tim K.(Tim Kalman)
Hoboken, N.J. : Wiley,
c2010.
"Number Theory: A Lively Introduction with Proofs, Applications and Stories will introduce you to elementary number theory, helping you develop your proof writing skills whil learning the core concepts in number theory as well as advanced topics used in modern applications. This book is ideal for first-timers in number theory as well as math majors and math education majors"--Rear cover.
Includes index.
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.
"Number Theory: A Lively Introduction with Proofs, Applications and Stories will introduce you to elementary number theory, helping you develop your proof writing skills whil learning the core concepts in number theory as well as advanced topics used in modern applications. This book is ideal for first-timers in number theory as well as math majors and math education majors"--Rear cover.
Number theory.
Number theory