Complex Function Theory

Häftad, Engelska, 2007

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Beskrivning

Complex Function Theory is a concise and rigorous introduction to the theory of functions of a complex variable. Written in a classical style, it is in the spirit of the books by Ahlfors and by Saks and Zygmund. Being designed for a one-semester course, it is much shorter than many of the standard texts. Sarason covers the basic material through Cauchy's theorem and applications, plus the Riemann mapping theorem. It is suitable for either an introductory graduate course or an undergraduate course for students with adequate preparation.The first edition was published with the title Notes on Complex Function Theory.

Produktinformation

Utgivningsdatum:2007-12-30
Format:Häftad
Språk:Engelska
Antal sidor:163
Upplaga:2
Förlag:American Mathematical Society
ISBN:9781470463236

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

Donald Sarason, University of California, Berkeley, CA.

Recensioner i media

From a review of the previous edition: ""The exposition is clear, rigorous, and friendly."" —Zentralblatt MATH

Innehållsförteckning

Complex numbersComplex differentiationLinear-fractional transformationsElementary functionsPower seriesComplex integrationCore versions of Cauchy's theorem, and consequencesLaurent series and isolated singularitiesCauchy's theoremFurther development of basic complex function theoryAppendix 1: Sufficient condition for differentiabilityAppendix 2: Two instances of the chain ruleAppendix 3: Groups, and linear-fractional transformationsAppendix 4: Differentiation under the integral signReferencesIndex