## Complex Analysis for Mathematics and Engineering

**Author**: John H. Mathews,Russell W. Howell

**Publisher:**Jones & Bartlett Publishers

**ISBN:**1449604455

**Category:**Mathematics

**Page:**645

**View:**2171

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Intended for the undergraduate student majoring in mathematics, physics or engineering, the Sixth Edition of Complex Analysis for Mathematics and Engineering continues to provide a comprehensive, student-friendly presentation of this interesting area of mathematics. The authors strike a balance between the pure and applied aspects of the subject, and present concepts in a clear writing style that is appropriate for students at the junior/senior level. Through its thorough, accessible presentation and numerous applications, the sixth edition of this classic text allows students to work through even the most difficult proofs with ease. New exercise sets help students test their understanding of the material at hand and assess their progress through the course. Additional Mathematica and Maple exercises, as well as a student study guide are also available online.

## Complex Analysis for Mathematics and Engineering

**Author**: John H. Mathews,Russell W. Howell

**Publisher:**Jones & Bartlett Learning

**ISBN:**9780763714253

**Category:**Mathematics

**Page:**596

**View:**5330

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Complex Analysis for Mathematics and Engineering strikes a balance between the pure and applied aspects of complex analysis, and presents concepts using a clear writing style. Believing that mathemati

## Fundamentals of Complex Analysis for Mathematics, Science, and Engineering

**Author**: E. B. Saff,Arthur David Snider

**Publisher:**N.A

**ISBN:**N.A

**Category:**Functions of complex variables.

**Page:**468

**View:**2629

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Covers complex numbers, analytic functions, integration, residue theory, conformal mapping, and Fourier and Laplace transforms.

## Basic complex variables for mathematics and engineering

**Author**: John H. Mathews

**Publisher:**Allyn & Bacon

**ISBN:**N.A

**Category:**Mathematics

**Page:**319

**View:**2962

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## Complex Analysis with Applications in Science and Engineering

**Author**: Harold Cohen

**Publisher:**Springer Science & Business Media

**ISBN:**0387730583

**Category:**Mathematics

**Page:**477

**View:**6063

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The Second Edition of this acclaimed text helps you apply theory to real-world applications in mathematics, physics, and engineering. It easily guides you through complex analysis with its excellent coverage of topics such as series, residues, and the evaluation of integrals; multi-valued functions; conformal mapping; dispersion relations; and analytic continuation. Worked examples plus a large number of assigned problems help you understand how to apply complex concepts and build your own skills by putting them into practice. This edition features many new problems, revised sections, and an entirely new chapter on analytic continuation.

## Reelle und Komplexe Analysis

**Author**: Walter Rudin

**Publisher:**Walter de Gruyter

**ISBN:**9783486591866

**Category:**Analysis - Lehrbuch

**Page:**499

**View:**1556

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Besonderen Wert legt Rudin darauf, dem Leser die Zusammenhänge unterschiedlicher Bereiche der Analysis zu vermitteln und so die Grundlage für ein umfassenderes Verständnis zu schaffen. Das Werk zeichnet sich durch seine wissenschaftliche Prägnanz und Genauigkeit aus und hat damit die Entwicklung der modernen Analysis in nachhaltiger Art und Weise beeinflusst. Der "Baby-Rudin" gehört weltweit zu den beliebtesten Lehrbüchern der Analysis und ist in 13 Sprachen übersetzt. 1993 wurde es mit dem renommierten Steele Prize for Mathematical Exposition der American Mathematical Society ausgezeichnet. Übersetzt von Uwe Krieg.

## Complex Analysis and Applications, Second Edition

**Author**: Alan Jeffrey

**Publisher:**CRC Press

**ISBN:**158488553X

**Category:**Mathematics

**Page:**592

**View:**8838

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Complex Analysis and Applications, Second Edition explains complex analysis for students of applied mathematics and engineering. Restructured and completely revised, this textbook first develops the theory of complex analysis, and then examines its geometrical interpretation and application to Dirichlet and Neumann boundary value problems. A discussion of complex analysis now forms the first three chapters of the book, with a description of conformal mapping and its application to boundary value problems for the two-dimensional Laplace equation forming the final two chapters. This new structure enables students to study theory and applications separately, as needed. In order to maintain brevity and clarity, the text limits the application of complex analysis to two-dimensional boundary value problems related to temperature distribution, fluid flow, and electrostatics. In each case, in order to show the relevance of complex analysis, each application is preceded by mathematical background that demonstrates how a real valued potential function and its related complex potential can be derived from the mathematics that describes the physical situation.

## COMPLEX VARIABLES

*THEORY AND APPLICATIONS*

**Author**: H. S. KASANA

**Publisher:**PHI Learning Pvt. Ltd.

**ISBN:**9788120326415

**Category:**Mathematics

**Page:**504

**View:**7422

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The second edition of this comprehensive and accessible text continues to offer students a challenging and enjoyable study of complex variables that is infused with perfect balanced coverage of mathematical theory and applied topics. The author explains fundamental concepts and techniques with precision and introduces the students to complex variable theory through conceptual develop-ment of analysis that enables them to develop a thorough understanding of the topics discussed. Geometric interpretation of the results, wherever necessary, has been inducted for making the analysis more accessible. The level of the text assumes that the reader is acquainted with elementary real analysis. Beginning with the revision of the algebra of complex variables, the book moves on to deal with analytic functions, elementary functions, complex integration, sequences, series and infinite products, series expansions, singularities and residues. The application-oriented chapters on sums and integrals, conformal mappings, Laplace transform, and some special topics, provide a practical-use perspective. Enriched with many numerical examples and exercises designed to test the student's comprehension of the topics covered, this book is written for a one-semester course in complex variables for students in the science and engineering disciplines.

## Complex Analysis with MATHEMATICA®

**Author**: William T. Shaw

**Publisher:**Cambridge University Press

**ISBN:**0521836263

**Category:**Computers

**Page:**571

**View:**4484

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This book presents a way of learning complex analysis, using Mathematica. Includes CD with electronic version of the book.

## 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:**5291

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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.

## Funktionentheorie

**Author**: Eberhard Freitag,Rolf Busam

**Publisher:**Springer-Verlag

**ISBN:**3662073528

**Category:**Mathematics

**Page:**541

**View:**964

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Die ersten vier Kapitel vermitteln mit minimalem Begriffsaufwand und geringen Vorkenntnissen zentrale Ergebnisse und Methoden der Funktionentheorie und gipfeln in einem Beweis des kleinen Riemannschen Abbildungssatzes und einer Charakterisierung einfach zusammenhängender Gebiete. Weiter werden behandelt: Elliptische Funktionen (Weierstraßscher und Jacobischer Ansatz), die elementare Theorie der Modulformen einer Variablen, Anwendungen der Funktionentheorie auf die Zahlentheorie (einschließlich eines Beweises des Primzahlsatzes). Die optisch übersichtliche Aufbereitung und eine ungewöhnliche Fülle von sorgfältig ausgesuchten Übungsaufgaben machen den Band auch zur Prüfungsvorbereitung und zum Selbststudium sehr geeignet. Die vorliegende dritte Auflage wurde um ein Symbolverzeichnis erweitert und an verschiedenen Stellen nochmals verbessert.

## Complex Analysis

**Author**: Elias M. Stein,Rami Shakarchi

**Publisher:**Princeton University Press

**ISBN:**1400831156

**Category:**Mathematics

**Page:**400

**View:**7745

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With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle. With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory. Thoroughly developing a subject with many ramifications, while striking a careful balance between conceptual insights and the technical underpinnings of rigorous analysis, Complex Analysis will be welcomed by students of mathematics, physics, engineering and other sciences. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Complex Analysis is the second, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.

## An Introduction to Complex Analysis

**Author**: Ravi P. Agarwal,Kanishka Perera,Sandra Pinelas

**Publisher:**Springer Science & Business Media

**ISBN:**9781461401957

**Category:**Mathematics

**Page:**331

**View:**977

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This textbook introduces the subject of complex analysis to advanced undergraduate and graduate students in a clear and concise manner. Key features of this textbook: effectively organizes the subject into easily manageable sections in the form of 50 class-tested lectures, uses detailed examples to drive the presentation, includes numerous exercise sets that encourage pursuing extensions of the material, each with an “Answers or Hints” section, covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics, provides a concise history of complex numbers. An Introduction to Complex Analysis will be valuable to students in mathematics, engineering and other applied sciences. Prerequisites include a course in calculus.

## Complex Analysis

**Author**: John M. Howie

**Publisher:**Springer Science & Business Media

**ISBN:**1447100271

**Category:**Mathematics

**Page:**260

**View:**7676

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Complex analysis can be a difficult subject and many introductory texts are just too ambitious for today’s students. This book takes a lower starting point than is traditional and concentrates on explaining the key ideas through worked examples and informal explanations, rather than through "dry" theory.

## Fundamentals of Complex Analysis

*With Applications to Engineering and Science (Classic Version)*

**Author**: Edward Saff,Arthur D. Snider

**Publisher:**Math Classics

**ISBN:**9780134689487

**Category:**Mathematics

**Page:**576

**View:**1078

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Originally published in 2003, reissued as part of Pearson's modern classic series.

## Complex Variables and the Laplace Transform for Engineers

**Author**: Wilbur R. LePage

**Publisher:**Courier Corporation

**ISBN:**0486136442

**Category:**Technology & Engineering

**Page:**512

**View:**4217

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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.

## Complex Variables with Applications

**Author**: Saminathan Ponnusamy,Herb Silverman

**Publisher:**Springer Science & Business Media

**ISBN:**9780817645137

**Category:**Mathematics

**Page:**514

**View:**2707

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Explores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneously examining their analytic and geometric characteristics Engaging exposition with discussions, remarks, questions, and exercises to motivate understanding and critical thinking skills Encludes numerous examples and applications relevant to science and engineering students

## Complex Analysis with Applications to Flows and Fields

**Author**: Luis Manuel Braga da Costa Campos

**Publisher:**CRC Press

**ISBN:**1420071203

**Category:**Mathematics

**Page:**1029

**View:**1176

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Complex Analysis with Applications to Flows and Fields presents the theory of functions of a complex variable, from the complex plane to the calculus of residues to power series to conformal mapping. The book explores numerous physical and engineering applications concerning potential flows, the gravity field, electro- and magnetostatics, steady heat conduction, and other problems. It provides the mathematical results to sufficiently justify the solution of these problems, eliminating the need to consult external references. The book is conveniently divided into four parts. In each part, the mathematical theory appears in odd-numbered chapters while the physical and engineering applications can be found in even-numbered chapters. Each chapter begins with an introduction or summary and concludes with related topics. The last chapter in each section offers a collection of many detailed examples. This self-contained book gives the necessary mathematical background and physical principles to build models for technological and scientific purposes. It shows how to formulate problems, justify the solutions, and interpret the results.

## Visual Complex Analysis

**Author**: Tristan Needham

**Publisher:**Oxford University Press

**ISBN:**9780198534464

**Category:**Mathematics

**Page:**592

**View:**6802

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Now available in paperback, this successful radical approach to complex analysis replaces the standard calculational arguments with new geometric ones. With several hundred diagrams, and far fewer prerequisites than usual, this is the first visual intuitive introduction to complex analysis. Although designed for use by undergraduates in mathematics and science, the novelty of the approach will also interest professional mathematicians.

## Anschauliche Funktionentheorie

**Author**: Tristan Needham

**Publisher:**De Gruyter Oldenbourg

**ISBN:**9783486245783

**Category:**Functions of complex variables

**Page:**685

**View:**1388

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Needhams neuartiger Zugang zur Funktionentheorie wurde von der angelsächsischen Fachpresse begeistert aufgenommen. Mit über 500 zum großen Teil perspektivischen Grafiken vermittelt er im wahrsten Sinne des Wortes eine Anschauung von der ansonsten oft als trocken empfundenen Funktionentheorie. Weitere Informationenen zu Buch und Autor finden Sie auf der Web-Site des Autors.