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.
Summary:
"Number Theory: A Lively Introduction with Proofs, Applications and Stories will introduce you to elementary number theory, helping you develop your proof writing skills while 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."--Jacket.
This resource is supported by the Institute of Museum and Library Services under the provisions of the Library Services and Technology Act as administered by State Library of Iowa.