Introduction To Number Theory

Richard Michael Hill (Univ College London, Uk)

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Paperback

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English

World Scientific Europe Ltd
05 December 2017

Number theory

Series: Essential Textbooks in Mathematics

Summary
Details

'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.

By: Richard Michael Hill (Univ College London Uk)
Imprint: World Scientific Europe Ltd
Country of Publication: United Kingdom
Volume: 0
ISBN: 9781786344892
ISBN 10: 1786344890
Series: Essential Textbooks in Mathematics
Pages: 264
Publication Date: 05 December 2017
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active