First Course in Number Theory

This introductory text covers the core topics of number theory at an accessible level. Its selective coverage allows lecturers to augment the text with special topics as they wish. P-adic valuation is introduced early and there is a special appendix on abstract algebra, to make the close parallel between number theory and algebra clear. Problem sets are included in every section; model proofs and hints are provided in the back of the book for many of the problems, extending their effectiveness as teaching tools. Notes at the end of every chapter provide references and explain how chapter topics have led to other developments in mathematics. This book should be of interest to degree and diploma students on introductory courses in number theory; as a supplement to courses in abstract algebra and discrete mathematics.