Analytic Functions
Evgrafov, M.A.
ISBN 10: 0486837602 ISBN 13: 9780486837604
Published by Dover Publications, Incorporated, 2019
New
Soft cover
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Biblios, Frankfurt am main, HESSE, Germany
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Synopsis:
This highly regarded text is directed toward advanced undergraduates and graduate students in mathematics who are interested in developing a firm foundation in the theory of functions of a complex variable. The treatment departs from traditional presentations in its early development of a rigorous discussion of the theory of multiple-valued analytic functions on the basis of analytic continuation. Thus it offers an early introduction of Riemann surfaces, conformal mapping, and the applications of residue theory. M. A. Evgrafov focuses on aspects of the theory that relate to modern research and assumes an acquaintance with the basics of mathematical analysis derived from a year of advanced calculus.
Starting with an introductory chapter containing the fundamental results concerning limits, continuity, and integrals, the book addresses analytic functions and their properties, multiple-valued analytic functions, singular points and expansion in series, the Laplace transform, harmonic and subharmonic functions, extremal problems and distribution of values, and other subjects. Chapters are largely self-contained, making this volume equally suitable for the classroom or independent study.
Starting with an introductory chapter containing the fundamental results concerning limits, continuity, and integrals, the book addresses analytic functions and their properties, multiple-valued analytic functions, singular points and expansion in series, the Laplace transform, harmonic and subharmonic functions, extremal problems and distribution of values, and other subjects. Chapters are largely self-contained, making this volume equally suitable for the classroom or independent study.
About the Author:
Russian-Soviet mathematician Marat Andreevich Evgrafov (1926&;97) served on the faculty of the Moscow Physical-Technical Institute. He is also the author of Asymptotic Estimates and Entire Functions.
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Bibliographic Details
Title: Analytic Functions
Publisher: Dover Publications, Incorporated
Publication Date: 2019
Binding: Soft cover
Condition: New