Quadratic Number Theory

An Invitation to Algebraic Methods in the Higher Arithmetic

AvJ.L. Lehman

Inbunden, Engelska, 2019

Del i serien Dolciani Mathematical Expositions

739 kr

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Beskrivning

This text is an introduction to algebraic number theory for readers with a moderate knowledge of elementary number theory and some familiarity with the terminology of abstract algebra. With its exceptionally clear prose, hundreds of exercises, and historical motivation, it would make an excellent textbook for a second undergraduate course in number theory or a terrific choice for independent reading.

Produktinformation

Utgivningsdatum:2019-04-30
Mått:152 x 229 x 23 mm
Vikt:655 g
Format:Inbunden
Språk:Engelska
Serie:Dolciani Mathematical Expositions
Antal sidor:394
Förlag:American Mathematical Society
ISBN:9781470447373

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Talteori inom Naturvetenskap och teknik

Mer om författaren

J. L. Lehman, University of Mary Washington, Fredericksburg, VA.

Innehållsförteckning

Introduction: A brief review of elementary number theoryQuadratic domains and ideals: Gaussian integers and sums of two squaresQuadratic domainsIdeals of quadratic domainsQuadratic forms and ideals: Quadratic formsCorrespondence between forms and idealsPositive definite quadratic forms: Class groups of negative discriminantRepresentations by positive definite formsClass groups of quadratic subdomainsIndefinite quadratic forms: Continued fractionsClass groups of positive discriminantRepresentations by indefinite formsQuadratic recursive sequences: Properties of recursive sequencesApplications of quadratic recursive sequencesConcluding remarksList of notationIndex