Download e-book for iPad: Complex Variables: Harmonic and Analytic Functions (Dover by Francis J. Flanigan

By Francis J. Flanigan

A warning to arithmetic professors: Complex Variables does no longer stick to traditional outlines after all fabric. One reviewer noting its originality wrote: "A typical textual content is usually most popular [to a solid textual content like this] as the professor understands the order of themes and the issues, and does not particularly need to be aware of the textual content. He can visit classification with out preparation." no longer so the following — Dr. Flanigan treats this most crucial box of up to date arithmetic in a most original means. whereas the entire fabric for a complicated undergraduate or first-year graduate path is roofed, dialogue of complicated algebra is behind schedule for a hundred pages, till harmonic features were analyzed from a true variable standpoint. scholars who've forgotten or by no means handled this fabric will locate it important for the next features. additionally, analytic features are outlined in a fashion which simplifies the following idea. Contents contain: Calculus within the airplane, Harmonic features within the airplane, complicated Numbers and intricate capabilities, Integrals of Analytic capabilities, Analytic capabilities and tool sequence, Singular issues and Laurent sequence, The Residue Theorem and the Argument precept, and Analytic features as Conformal Mappings.
Those acquainted with arithmetic texts will word the high-quality illustrations all through and big variety of difficulties provided on the bankruptcy ends. a solution part is supplied. scholars weary of plodding mathematical prose will locate Professor Flanigan's type as clean and stimulating as his strategy.

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Complex Variables: Harmonic and Analytic Functions (Dover Books on Mathematics) by Francis J. Flanigan

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