Elementary Number Theory/
Burton,David M.
- 7th
- New Delhi: TMG, 2012.
- 436
New to this edition -- Preliminaries -- Divisibility theory in the integers -- Primes and their distribution -- The theory of congruences -- Fermat's theorem -- Number-theoretic functions -- Euler's generalization of Fermat's theorem -- Primitive roots and indices -- The quadratic reciprocity law -- Introduction to cryptography -- Numbers of special form -- Certain nonlinear Diophantine equations -- Representations of integers as sums of squares -- Fibonacci numbers -- Continued fractions -- Some modern developments -- Miscellaneous problems -- Appendixes.