Clean cover and text. Partial contents: Calculus in the Plane; Harmonic Functions in the Plane; Complex numbers and complex functions. --- We are a Benedictine Monastery / Seminary Library; thank you for your support.

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Bibliographic Details

Title

Complex Variables: Harmonic and Analytic Functions

Publisher

Dover Publications, Inc., New York

Publication Date

1972

Language

English

ISBN 10

0486613887

ISBN 13

9780486613888

Binding

Paperback

Condition

Good

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About this title

Synopsis

A caution to mathematics professors: Complex Variables does not follow conventional outlines of course material. One reviewer noting its originality wrote: "A standard text is often preferred [to a superior text like this] because the professor knows the order of topics and the problems, and doesn't really have to pay attention to the text. He can go to class without preparation." Not so here — Dr. Flanigan treats this most important field of contemporary mathematics in a most unusual way. While all the material for an advanced undergraduate or first-year graduate course is covered, discussion of complex algebra is delayed for 100 pages, until harmonic functions have been analyzed from a real variable viewpoint. Students who have forgotten or never dealt with this material will find it useful for the subsequent functions. In addition, analytic functions are defined in a way which simplifies the subsequent theory. Contents include: Calculus in the Plane, Harmonic Functions in the Plane, Complex Numbers and Complex Functions, Integrals of Analytic Functions, Analytic Functions and Power Series, Singular Points and Laurent Series, The Residue Theorem and the Argument Principle, and Analytic Functions as Conformal Mappings.
Those familiar with mathematics texts will note the fine illustrations throughout and large number of problems offered at the chapter ends. An answer section is provided. Students weary of plodding mathematical prose will find Professor Flanigan's style as refreshing and stimulating as his approach.

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Mount Angel Abbey Library is housed in a world-renowned building designed by Finnish architect, Alvar Aalto. The architecture of the Abbey Library reflects and shapes its spirit and purpose. The building's natural light illumines the multi-color bindings, offered on open stacks against a disciplined black and white background, softened by undulating curves and light colored wood. The structure, including three stories and a mezzanine, was completed in 1970. The library is a part of Mount Angel Abbey a community of Benedictine Monks.

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Mount Angel Abbey Library
Mount Angel Abbey Library, 1 Abbey Dr., St. Benedict, OR, 97373, U.S.A.

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