Conformal Invariants in Constructive Theory of Functions of Complex Variable (Advanced Series in Mathematical Science and Engineering ; 1)
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Conformal Invariants in Constructive Theory of Functions of Complex Variable (Advanced Series in Mathematical Science and Engineering ; 1) by V. V. Andrievskii

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Published by World Federation Pub Inc .
Written in English

Subjects:

  • Conformal invariants,
  • Functions Of Complex Variables,
  • Science/Mathematics

Book details:

The Physical Object
FormatHardcover
Number of Pages199
ID Numbers
Open LibraryOL8705164M
ISBN 101885978049
ISBN 109781885978042

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  Most conformal invariants can be described in terms of extremal properties. Conformal invariants and extremal problems are therefore intimately linked and form together the central theme of this classic book which is primarily intended for students with approximately a year's background in complex variable theory. On conformal invariants in problems of constructive function theory on sets of the real line V. V. Andrievskii (Presented by Gutlyanskiˇı ) Abstract. This is a survey of some recent results by the author and his collaborators in the constructive theory of functions of a real variable. Conformal Invariants: Topics in Geometric Function Theory About this Title. Lars V. Ahlfors. Publication: AMS Chelsea Publishing Publication Year: ; Volume Cited by: ~lost conformal invariants can be described in terms of extremal properties. Conformal invariants and extremal problems are therefore intimately linked and form together the central theme of this book. An obvious reason for publishing these lectures is the fact that much of the material has never appeared in textbook Size: 8MB.

  The book covers basic aspects of complex numbers, complex variables and complex functions. It also deals with analytic functions, Laurent series etc. Contents. Introduction 9 Chapter 1. THE COMPLEX VARIABLE AND FUNCTIONS OF A COMPLEX VARIABLE Complex Numbers and Operations on Complex Numbers 11 a. The concept of a complex .   Ahlfors, L.V.: Complex Analysis. An Introduction to the Theory of Analytic Functions of One Complex Variable, 3rd edn. McGraw-Hill Book Co., New York (). International Series in Pure and Applied Mathematics Google ScholarAuthor: Antti Kemppainen. P. Duren, Univalent functions. This is an excellent book about general theory of the univalent functions. We are mostly interested in the first three chapters. G. Goluzin, Geometric Theory of Functions of a Complex Variable. This book contains vast amount of information about the geometric function theory.   We define a notion of conformal invariance associated with nested domains, suitable for characterizing higher-order information about mapping functions. We give an exposition of our results which yield an infinite-dimensional family of conformal invariants for nested hyperbolic simply-connected domains. Each invariant is specified by a quadratic Cited by: 3.

Most conformal invariants can be described in terms of extremal properties. Conformal invariants and extremal problems are therefore intimately linked and form together the central theme of this classic book which is primarily intended for students with approximately a year's background in complex variable theory/5. Functions of a complex variable I. This short tutorial is a companion material to the course on Functions of a Complex is intended to help the student, but will replace neither personal lecture notes nor a good textbook. Abstract. Most conformal invariants can be described in terms of extremal properties. Conformal invariants and extremal problems are therefore intimately linked and form together the central theme of this classic book which is primarily intended for students with approximately a year's background in complex variable : Lars V Ahlfors. Most conformal invariants can be described in terms of extremal properties. Conformal invariants and extremal problems are therefore intimately linked and form together the central theme of this classic book which is primarily intended for students with approximately a year's background in complex variable : $