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Classical analysis in the complex plane

Burckel, R. B.

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Classical analysis in the complex plane

Record Type:	Electronic resources : Monograph/item
Title/Author:	Classical analysis in the complex plane/ by Robert B. Burckel.
Author:	Burckel, R. B.
Published:	New York, NY :Springer US : : 2021.,
Description:	xxix, 1123 p. :ill., digital ;24 cm.
[NT 15003449]:	Prerequisites and Preliminaries -- Curves, Connectedness and Convexity -- (Complex) Derivative and (Curvilinear) Integrals -- Power Series and the Exponential Function -- The Index and some Plane Topology -- Consequences of the Cauchy-Goursat Theorem--Maximum Principles and the Local Theory -- Schwarz' Lemma and its Many Applications -- Convergent Sequences of Holomorphic Functions -- Polynomial and Rational Approximation--Runge Theory -- The Riemann Mapping Theorem -- Simple and Double Connectivity -- Isolated Singularities -- Omitted Values and Normal Families -- Bibliography -- Name Index -- Subject Index -- Symbol Index -- Index of Series Summed and Integrals Evaluated.
Contained By:	Springer Nature eBook
Subject:	Mathematical analysis. -
Online resource:	https://doi.org/10.1007/978-1-0716-1965-0
ISBN:	9781071619650

Classical analysis in the complex plane
Burckel, R. B.

Classical analysis in the complex plane[electronic resource] /by Robert B. Burckel. - New York, NY :Springer US :2021. - xxix, 1123 p. :ill., digital ;24 cm. - Cornerstones,2197-1838. - Cornerstones..

Prerequisites and Preliminaries -- Curves, Connectedness and Convexity -- (Complex) Derivative and (Curvilinear) Integrals -- Power Series and the Exponential Function -- The Index and some Plane Topology -- Consequences of the Cauchy-Goursat Theorem--Maximum Principles and the Local Theory -- Schwarz' Lemma and its Many Applications -- Convergent Sequences of Holomorphic Functions -- Polynomial and Rational Approximation--Runge Theory -- The Riemann Mapping Theorem -- Simple and Double Connectivity -- Isolated Singularities -- Omitted Values and Normal Families -- Bibliography -- Name Index -- Subject Index -- Symbol Index -- Index of Series Summed and Integrals Evaluated.

ISBN: 9781071619650

Standard No.: 10.1007/978-1-0716-1965-0doiSubjects--Topical Terms:

516833
Mathematical analysis.

LC Class. No.: QA300 / .B87 2021

Dewey Class. No.: 515

Classical analysis in the complex plane
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100 1 $a Burckel, R. B. $3 3522286
245 1 0 $a Classical analysis in the complex plane $h [electronic resource] / $c by Robert B. Burckel.
260 $a New York, NY : $b Springer US : $b Imprint: Birkhauser, $c 2021.
300 $a xxix, 1123 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cornerstones, $x 2197-1838
505 0 $a Prerequisites and Preliminaries -- Curves, Connectedness and Convexity -- (Complex) Derivative and (Curvilinear) Integrals -- Power Series and the Exponential Function -- The Index and some Plane Topology -- Consequences of the Cauchy-Goursat Theorem--Maximum Principles and the Local Theory -- Schwarz' Lemma and its Many Applications -- Convergent Sequences of Holomorphic Functions -- Polynomial and Rational Approximation--Runge Theory -- The Riemann Mapping Theorem -- Simple and Double Connectivity -- Isolated Singularities -- Omitted Values and Normal Families -- Bibliography -- Name Index -- Subject Index -- Symbol Index -- Index of Series Summed and Integrals Evaluated.
650 0 $a Mathematical analysis. $3 516833
650 1 4 $a Functions of a Complex Variable. $3 897310
650 2 4 $a Several Complex Variables and Analytic Spaces. $3 893953
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Cornerstones. $3 3411035
856 4 0 $u https://doi.org/10.1007/978-1-0716-1965-0
950 $a Mathematics and Statistics (SpringerNature-11649)