Quadratic Number Theory

An Invitation to Algebraic Methods in the Higher Arithmetic

Inbunden, Engelska, 2019

959 kr

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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

Utgivningsdatum2019-04-30
Mått152 x 229 x 23 mm
Vikt655 g
FormatInbunden
SpråkEngelska
SerieDolciani Mathematical Expositions
Antal sidor394
FörlagAmerican Mathematical Society
ISBN9781470447373

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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