Introduction to number theory [electronic resource] / Richard Michael Hill.
By: Hill, Richard Michael
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Material type: 
Computer fileSeries: Essential textbooks in mathematics.Publisher: London : World Scientific Publishing Europe Ltd., ©2018Description: 1 online resource (264 p.) : ill.ISBN: 9781786344724.Subject(s): Number theory -- Textbooks | Electronic booksDDC classification: 512.7 Online resources: Access to full text is restricted to subscribers. Summary: "ntroduction 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."-- Publisher's website.
System requirements: Adobe Acrobat Reader.
Mode of access: World Wide Web.
Title from web page (viewed January 18, 2019).
Includes bibliographical references.
"ntroduction 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."-- Publisher's website.
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