'Probably its most significant distinguishing feature is that this
book is more algebraically oriented than most undergraduate number
theory texts.'MAA ReviewsIntroduction 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.
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