About the Book: Introduction to Number Theory
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, hensels br>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 pells
equation via continued Fractions. Throughout the five chapters and more than 100
exercises and solutions, readers