Description

Introduction to Number Theory is dedicated
to concrete questions about integers, to place
an emphasis on problem solving by students.
When undertaking a first course in number
theory, students enjoy actively engaging with
the properties and relationships of numbers.
The book begins with introductory material,
including uniqueness of factorization of
integers and polynomials. Subsequent topics
explore quadratic reciprocity, Hensel?s
Lemma, p-adic powers series such as exp(px)
and log(1+px), the Euclidean property of
some quadratic rings, representation of
integers as norms from quadratic rings, and
Pell?s equation via continued fractions.
Throughout the five chapters and more than
100 exercises and solutions, readers gain
the advantage of a number theory book that
focuses on doing calculations. This textbook
is a valuable resource for undergraduates or
those with a background in university level
mathematics.