## Complex Analysis for Mathematics and Engineering

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

**Publisher:**Jones & Bartlett Publishers

**ISBN:**1449604455

**Category:**Mathematics

**Page:**645

**View:**8671

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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.

## Fundamentals of Complex Analysis

*with Applications to Engineering and Science*

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

**Publisher:**Pearson Higher Ed

**ISBN:**0321997506

**Category:**Mathematics

**Page:**563

**View:**1018

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This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. This is the best seller in this market. It provides a comprehensive introduction to complex variable theory and its applications to current engineering problems. It is designed to make the fundamentals of the subject more easily accessible to students who have little inclination to wade through the rigors of the axiomatic approach. Modeled after standard calculus books–both in level of exposition and layout–it incorporates physical applications throughout the presentation, so that the mathematical methodology appears less sterile to engineering students.

## Linear and Complex Analysis for Applications

**Author**: John P. D'Angelo

**Publisher:**CRC Press

**ISBN:**1498756166

**Category:**Mathematics

**Page:**264

**View:**6513

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Linear and Complex Analysis for Applications aims to unify various parts of mathematical analysis in an engaging manner and to provide a diverse and unusual collection of applications, both to other fields of mathematics and to physics and engineering. The book evolved from several of the author’s teaching experiences, his research in complex analysis in several variables, and many conversations with friends and colleagues. It has three primary goals: ? to develop enough linear analysis and complex variable theory to prepare students in engineering or applied mathematics for advanced work, to unify many distinct and seemingly isolated topics, to show mathematics as both interesting and useful, especially via the juxtaposition of examples and theorems. ? The book realizes these goals by beginning with reviews of Linear Algebra, Complex Numbers, and topics from Calculus III. As the topics are being reviewed, new material is inserted to help the student develop skill in both computation and theory. The material on linear algebra includes infinite-dimensional examples arising from elementary calculus and differential equations. Line and surface integrals are computed both in the language of classical vector analysis and by using differential forms. Connections among the topics and applications appear throughout the book. The text weaves abstract mathematics, routine computational problems, and applications into a coherent whole, whose unifying theme is linear systems. It includes many unusual examples and contains more than 450 exercises.

## Visual Complex Analysis

**Author**: Tristan Needham

**Publisher:**Oxford University Press

**ISBN:**9780198534464

**Category:**Mathematics

**Page:**592

**View:**9250

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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.

## Complex Variables for Scientists and Engineers

*Second Edition*

**Author**: John D. Paliouras,Douglas S. Meadows

**Publisher:**Courier Corporation

**ISBN:**0486782220

**Category:**Mathematics

**Page:**608

**View:**1878

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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.

## Complex Variables and the Laplace Transform for Engineers

**Author**: Wilbur R. LePage

**Publisher:**Courier Corporation

**ISBN:**0486136442

**Category:**Technology & Engineering

**Page:**512

**View:**2517

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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 Analysis and Applications, Second Edition

**Author**: Alan Jeffrey

**Publisher:**CRC Press

**ISBN:**158488553X

**Category:**Mathematics

**Page:**592

**View:**8289

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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.

## Basic complex variables for mathematics and engineering

**Author**: John H. Mathews

**Publisher:**Allyn & Bacon

**ISBN:**N.A

**Category:**Mathematics

**Page:**319

**View:**8955

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## 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:**2964

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

## Introductory Complex Analysis

**Author**: Richard A. Silverman

**Publisher:**Courier Corporation

**ISBN:**0486318524

**Category:**Mathematics

**Page:**400

**View:**3502

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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.

## Applied Complex Variables

**Author**: John W. Dettman

**Publisher:**Courier Corporation

**ISBN:**0486158284

**Category:**Mathematics

**Page:**512

**View:**5061

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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.

## SPECIAL FUNCTIONS AND COMPLEX VARIABLES (ENGINEERING MATHEMATICS III)

**Author**: Shahnaz Bathul

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

**ISBN:**8120351002

**Category:**

**Page:**584

**View:**841

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This thoroughly revised book, now in its third edition, continues to discuss two important topics—special functions and complex variables. Chapters have been rearranged keeping in view the current syllabi of the universities. The book analyzes special functions, Legendre’s equation and function, and Bessel’s function. It explains how to solve Cauchy equations, differential equation with variable coefficients and Frobenius of solving differential equation at a regular singular point. Besides, the text also explains the notions of limit, continuity and differentiability by giving a thorough grounding on analytic functions and their relations with harmonic functions. In addition, the book introduces the exponential function of a complex variable, and with the help of this function, defines trigonometric and hyperbolic functions and explains their properties. While discussing different mathematical concepts, the book discusses a number of theorems such as Cauchy’s integral theorem for the integration of a complex variable, Taylor’s theorem for the analysis of complex power series, the residue theorem for evaluation of residues, the argument principle and Rouche’s theorem for the determination of the number of zeroes of complex polynomials. Finally, the book gives a thorough exposition of conformal mappings and develops the theory of bilinear transformation.

## Complex Analysis with Applications in Science and Engineering

**Author**: Harold Cohen

**Publisher:**Springer Science & Business Media

**ISBN:**0387730583

**Category:**Mathematics

**Page:**477

**View:**361

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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.

## Mathematical Analysis for Engineers

**Author**: Bernard Dacorogna,Chiara Tanteri

**Publisher:**World Scientific Publishing Company

**ISBN:**184816923X

**Category:**Mathematics

**Page:**372

**View:**635

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This book follows an advanced course in analysis (vector analysis, complex analysis and Fourier analysis) for engineering students, but can also be useful, as a complement to a more theoretical course, to mathematics and physics students. The first three parts of the book represent the theoretical aspect and are independent of each other. The fourth part gives detailed solutions to all exercises that are proposed in the first three parts. Foreword Foreword (71 KB) Sample Chapter(s) Chapter 1: Differential Operators of Mathematical Physics (272 KB) Chapter 9: Holomorphic functions and Cauchy–Riemann equations (248 KB) Chapter 14: Fourier series (281 KB) Request Inspection Copy Contents: Vector Analysis:Differential Operators of Mathematical PhysicsLine IntegralsGradient Vector FieldsGreen TheoremSurface IntegralsDivergence TheoremStokes TheoremAppendixComplex Analysis:Holomorphic Functions and Cauchy–Riemann EquationsComplex IntegrationLaurent SeriesResidue Theorem and ApplicationsConformal MappingFourier Analysis:Fourier SeriesFourier TransformLaplace TransformApplications to Ordinary Differential EquationsApplications to Partial Differential EquationsSolutions to the Exercises:Differential Operators of Mathematical PhysicsLine IntegralsGradient Vector FieldsGreen TheoremSurface IntegralsDivergence TheoremStokes TheoremHolomorphic Functions and Cauchy–Riemann EquationsComplex IntegrationLaurent SeriesResidue Theorem and ApplicationsConformal MappingFourier SeriesFourier TransformLaplace TransformApplications to Ordinary Differential EquationsApplications to Partial Differential Equations Readership: Undergraduate students in analysis & differential equations, complex analysis, civil, electrical and mechanical engineering.

## A Friendly Approach to Complex Analysis

**Author**: Sara Maad Sasane,Amol Sasane

**Publisher:**World Scientific Publishing Company

**ISBN:**9814579017

**Category:**Mathematics

**Page:**964

**View:**849

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The book constitutes a basic, concise, yet rigorous course in complex analysis, for students who have studied calculus in one and several variables, but have not previously been exposed to complex analysis. The textbook should be particularly useful and relevant for undergraduate students in joint programmes with mathematics, as well as engineering students. The aim of the book is to cover the bare bones of the subject with minimal prerequisites. The core content of the book is the three main pillars of complex analysis: the Cauchy–Riemann equations, the Cauchy Integral Theorem, and Taylor and Laurent series expansions. Each section contains several problems, which are not purely drill exercises, but are rather meant to reinforce the fundamental concepts. Detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study. There are many figures illustrating the text. Errata(s) Errata (72 KB)

## Complex analysis and applications

**Author**: William R. Derrick

**Publisher:**Wadsworth Pub Co

**ISBN:**N.A

**Category:**Mathematics

**Page:**347

**View:**8164

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## 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:**1513

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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 to Flows and Fields

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

**Publisher:**CRC Press

**ISBN:**1420071203

**Category:**Mathematics

**Page:**1029

**View:**6891

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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.

## Complex variables: harmonic and analytic functions

**Author**: Francis J. Flanigan

**Publisher:**N.A

**ISBN:**N.A

**Category:**Analytic functions

**Page:**353

**View:**6017

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## Complex Variables and Applications

**Author**: Brown

**Publisher:**McGraw-Hill Higher Education

**ISBN:**0073530859

**Category:**

**Page:**N.A

**View:**384

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