Analytic functions -- The maximum principle -- Integration and approximation -- Cauchy's theorem -- Elementary maps -- Harmonic functions -- Conformal maps and harmonic functions -- Calculus of residues -- Normal families -- Series and products -- Conformal maps to Jordan regions -- The Dirichlet problem -- Riemann surfaces -- The uniformization theorem -- Meromorphic functions on a Riemann surface.
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SUMMARY OR ABSTRACT
Text of Note
"Complex Analysis The cover of this book shows two conformal maps that reveal the beautiful potential of complex analysis. Illustrated in full color and written for students of a breadth of disciplines, the clear and thorough writing style in this book explores and demystifies one of the most elegant branches of mathematical analysis. Based on a popular course and covering up-to-date theory, this book covers a one-year graduate level introduction to complex analysis, as well as touching upon topics not seen in competing titles"-- Provided by publisher.
TOPICAL NAME USED AS SUBJECT
Functions of complex variables--Textbooks.
Mathematical analysis--Textbooks.
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA331
.
7
Book number
.
M365
2019
PERSONAL NAME - PRIMARY RESPONSIBILITY
Marshall, Donald E. (Donald Eddy), 1947-
ORIGINATING SOURCE
Country
ایران
Agency
University of Tehran. Library of College of Science