Starting with the fundamentals of number theory, this text advances to an intermediate level. Author Harold N. Shapiro,
705 95 3MB
English Pages 480 [481] Year 2008
Table of contents :
Content: Divisibility and other beginnings --
The unique factorization theorem --
Arithmetic functions --
The ring of arithmetic functions (a do-it-yourself chapter) --
Congruences --
Structure of the reduced residue classes --
Quadratic congruences --
Counting problems (a do-it-yourself chapter) --
The elements of prime number theory --
The prime number theorem.