Gauss famously referred to mathematics as the “queen of the sciences” and to number theory as the “queen of mathematics”. This book is an introduction t

This problem book gathers together 15 problem sets on analytic number theory that can be profitably approached by anyone from advanced high school students to t

Number theory is one of the few areas of mathematics where problems of substantial interest can be fully described to someone with minimal mathematical backgrou

Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way. It succeeds in combining the advantages of rings-first and g

Requiring no more than a basic knowledge of abstract algebra, this text presents the mathematics of number fields in a straightforward, pedestrian manner. It th