The essential guide to number theory for undergraduates Distinguishing features include discussions of the Riemann Zeta Function and Riemann HypothesisIncludes supplementary material: sn.pub/extras

Preface.- Notes to the reader.- Divisibility.- Prime Numbers.- Congruences.- Congruences with prime modulus.- Euler''s function.- The group of units.- Quadratic residues.- Arithmetic functions.- The Riemann zeta function.- Sums of squares.- Fermat''s Last Theorem.- Appendix 1: Induction and well-ordering.- Appendix 2: Groups, rings and fields.- Appendix 3: Convergence.- Table of primes.- Solutions to excercises.- References.- Index of symbols.- Index of names.- Index.