A Collection of Problems on Complex Analysis


Author: Lev Izrailevich Volkovyski?,Grigori? L?vovich Lunt?s?,Isaak Genrikhovich Aramanovich,J. Berry,T. Kovari
Publisher: Courier Corporation
ISBN: 0486669130
Category: Mathematics
Page: 426
View: 3621

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Over 1500 problems on theory of functions of the complex variable; coverage of nearly every branch of classical function theory. Topics include conformal mappings, integrals and power series, Laurent series, parametric integrals, integrals of the Cauchy type, analytic continuation, Riemann surfaces, much more. Answers and solutions at end of text. Bibliographical references. 1965 edition.

Complex Analysis with Applications


Author: Richard A. Silverman
Publisher: Courier Corporation
ISBN: 9780486647623
Category: Mathematics
Page: 274
View: 3216

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The basics of what every scientist and engineer should know, from complex numbers, limits in the complex plane, and complex functions to Cauchy's theory, power series, and applications of residues. 1974 edition.

Elementary Real and Complex Analysis


Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 0486135004
Category: Mathematics
Page: 544
View: 4537

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DIVExcellent undergraduate-level text offers coverage of real numbers, sets, metric spaces, limits, continuous functions, much more. Each chapter contains a problem set with hints and answers. 1973 edition. /div

Introductory Complex Analysis


Author: Richard A. Silverman
Publisher: Courier Corporation
ISBN: 0486318524
Category: Mathematics
Page: 400
View: 439

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Shorter version of Markushevich's Theory of Functions of a Complex Variable, appropriate for advanced undergraduate and graduate courses in complex analysis. More than 300 problems, some with hints and answers. 1967 edition.

Einführung in die Komplexe Analysis

Elemente der Funktionentheorie
Author: Wolfgang Fischer,Ingo Lieb
Publisher: Springer-Verlag
ISBN: 3834893773
Category: Mathematics
Page: 214
View: 5056

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In den Bachelor-Studiengängen der Mathematik steht für die Komplexe Analysis (Funktionentheorie) oft nur eine einsemestrige 2-stündige Vorlesung zur Verfügung. Dieses Buch eignet sich als Grundlage für eine solche Vorlesung im 2. Studienjahr. Mit einer guten thematischen Auswahl, vielen Beispielen und ausführlichen Erläuterungen gibt dieses Buch eine Darstellung der Komplexen Analysis, die genau die Grundlagen und den wesentlichen Kernbestand dieses Gebietes enthält. Das Buch bietet über diese Grundausbildung hinaus weiteres Lehrmaterial als Ergänzung, sodass es auch für eine 3- oder 4 –stündige Vorlesung geeignet ist. Je nach Hörerkreis kann der Stoff unterschiedlich erweitert werden. So wurden für den „Bachelor Lehramt“ die geometrischen Aspekte der Komplexen Analysis besonders herausgearbeitet.

Complex Variables for Scientists and Engineers

Second Edition
Author: John D. Paliouras,Douglas S. Meadows
Publisher: Courier Corporation
ISBN: 0486493474
Category: Mathematics
Page: 586
View: 6440

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Outstanding undergraduate text provides a thorough understanding of fundamentals and creates the basis for higher-level courses. Numerous examples and extensive exercise sections of varying difficulty, plus answers to selected exercises. 1990 edition.

Applied Complex Variables


Author: John W. Dettman
Publisher: Courier Corporation
ISBN: 0486158284
Category: Mathematics
Page: 512
View: 4250

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Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.

Complex Variables


Author: Francis J. Flanigan
Publisher: Courier Corporation
ISBN: 0486318486
Category: Mathematics
Page: 384
View: 9116

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Contents include calculus in the plane; harmonic functions in the plane; analytic functions and power series; singular points and Laurent series; and much more. Numerous problems and solutions. 1972 edition.

Complex Variables

Second Edition
Author: Stephen D. Fisher
Publisher: Courier Corporation
ISBN: 0486406792
Category: Mathematics
Page: 427
View: 1838

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Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, transform methods. Hundreds of solved examples, exercises, applications. 1990 edition. Appendices.

Counterexamples in Analysis


Author: Bernard R. Gelbaum,John M. H. Olmsted
Publisher: Courier Corporation
ISBN: 0486134911
Category: Mathematics
Page: 224
View: 3444

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These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.

Complex Variable Methods in Elasticity


Author: A. H. England
Publisher: Courier Corporation
ISBN: 048615341X
Category: Mathematics
Page: 208
View: 2171

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Plane strain and generalized plane stress boundary value problems of linear elasticity are discussed as well as functions of a complex variable, basic equations of 2-dimensional elasticity, plane and half-plane problems, more. 1971 edition. Includes 26 figures.

Complex Analysis with Vector Calculus


Author: T. M. J. A. Cooray
Publisher: Alpha Science International Limited
ISBN: 9781842653609
Category: Mathematics
Page: 368
View: 3568

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Based on many years of experience of the author Complex Analysis with Vector Calculus provides clear and condensed treatment of the subject. It is primarily intended to be used by undergraduate students of engineering and science as a part of a course in engineering mathematics, where they are introduced to complex variable theory, through conceptual development of analysis. The book also introduces vector algebra, step by step, with due emphasis on various operations on vector field and scalar fields. Especially, it introduces proof of vector identities by use of a new approach and includes many examples to clarify the ideas and familiarize students with various techniques of problem solving.

Complex Variables and the Laplace Transform for Engineers


Author: Wilbur R. LePage
Publisher: Courier Corporation
ISBN: 0486136442
Category: Technology & Engineering
Page: 512
View: 6308

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Acclaimed text on engineering math for graduate students covers theory of complex variables, Cauchy-Riemann equations, Fourier and Laplace transform theory, Z-transform, and much more. Many excellent problems.

Introduction to Analysis


Author: Maxwell Rosenlicht
Publisher: Courier Corporation
ISBN: 0486134687
Category: Mathematics
Page: 272
View: 4179

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Written for junior and senior undergraduates, this remarkably clear and accessible treatment covers set theory, the real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, and more. 1968 edition.

A Complex Analysis Problem Book


Author: Daniel Alpay
Publisher: Birkhäuser
ISBN: 3319421816
Category: Mathematics
Page: 596
View: 2321

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This second edition presents a collection of exercises on the theory of analytic functions, including completed and detailed solutions. It introduces students to various applications and aspects of the theory of analytic functions not always touched on in a first course, while also addressing topics of interest to electrical engineering students (e.g., the realization of rational functions and its connections to the theory of linear systems and state space representations of such systems). It provides examples of important Hilbert spaces of analytic functions (in particular the Hardy space and the Fock space), and also includes a section reviewing essential aspects of topology, functional analysis and Lebesgue integration. Benefits of the 2nd edition Rational functions are now covered in a separate chapter. Further, the section on conformal mappings has been expanded.

Anschauliche Funktionentheorie


Author: Tristan Needham
Publisher: Oldenbourg Wissenschaftsverlag
ISBN: 9783486709025
Category: Mathematics
Page: 685
View: 8144

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Needhams neuartiger Zugang zur Funktionentheorie wurde von der Fachpresse begeistert aufgenommen. Mit über 500 zum großen Teil perspektivischen Grafiken vermittelt er im wahrsten Sinne des Wortes eine Anschauung von der sonst oft als trocken empfundenen Funktionentheorie. 'Anschauliche Funktionentheorie ist eine wahre Freude und ein Buch so recht nach meinem Herzen. Indem er ausschließlich seine neuartige geometrische Perspektive verwendet, enthüllt Tristan Needham viele überraschende und bisher weitgehend unbeachtete Facetten der Schönheit der Funktionentheorie.' (Sir Roger Penrose)

Elements of the Theory of Functions


Author: Konrad Knopp
Publisher: Courier Dover Publications
ISBN: 0486165604
Category: Mathematics
Page: 160
View: 7728

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Well-known book provides a clear, concise review of complex numbers and their geometric representation; linear functions and circular transformations; sets, sequences, and power series; analytic functions and conformal mapping; and elementary functions. 1952 edition.

An Introduction to Mathematical Analysis


Author: Robert A. Rankin
Publisher: Courier Corporation
ISBN: 048646251X
Category: Mathematics
Page: 607
View: 6887

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Dealing chiefly with functions of a single real variable, this text by a distinguished educator introduces limits, continuity, differentiability, integration, convergence of infinite series, double series, and infinite products. 1963 edition.

Complex Integration and Cauchy's Theorem


Author: G. N. Watson
Publisher: Courier Corporation
ISBN: 0486488144
Category: Mathematics
Page: 79
View: 6989

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Brief monograph by a distinguished mathematician offers a single-volume compilation of propositions employed in proofs of Cauchy's theorem. Includes applications to the calculus of residues. 1914 edition.

Conformal Mapping


Author: Zeev Nehari
Publisher: Courier Corporation
ISBN: 0486145034
Category: Mathematics
Page: 396
View: 3143

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DIVTheoretical and practical approach covers functions of a complex variable and conformal mapping. Only prerequisite is advanced calculus. /div