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Complex Analysis for Mathematics and Engineering

Complex Analysis for Mathematics and Engineering Author John H. Mathews
ISBN-10 9781449604455
Release 2012
Pages 645
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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

Fundamentals of Complex Analysis Author Edward Saff
ISBN-10 0134689488
Release 2017-02-13
Pages 576
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Originally published in 2003, reissued as part of Pearson's modern classic series.



Visual Complex Analysis

Visual Complex Analysis Author Tristan Needham
ISBN-10 0198534469
Release 1998
Pages 592
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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.



Basic complex variables for mathematics and engineering

Basic complex variables for mathematics and engineering Author John H. Mathews
ISBN-10 UOM:39015015408324
Release 1982
Pages 319
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Basic complex variables for mathematics and engineering has been writing in one form or another for most of life. You can find so many inspiration from Basic complex variables for mathematics and engineering also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Basic complex variables for mathematics and engineering book for free.



Complex Analysis and Applications Second Edition

Complex Analysis and Applications  Second Edition Author Alan Jeffrey
ISBN-10 9781584885535
Release 2005-11-10
Pages 592
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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.



Linear and Complex Analysis for Applications

Linear and Complex Analysis for Applications Author John P. D'Angelo
ISBN-10 9781498756167
Release 2017-08-02
Pages 264
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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.



Fundamentals of Complex Analysis for Mathematics Science and Engineering

Fundamentals of Complex Analysis for Mathematics  Science  and Engineering Author E. B. Saff
ISBN-10 MINN:31951D026873894
Release 1993
Pages 468
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Covers complex numbers, analytic functions, integration, residue theory, conformal mapping, and Fourier and Laplace transforms.



Complex Analysis with MATHEMATICA

Complex Analysis with MATHEMATICA  Author William T. Shaw
ISBN-10 9780521836265
Release 2006-04-20
Pages 571
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This book presents a way of learning complex analysis, using Mathematica. Includes CD with electronic version of the book.



Mathematical Analysis for Engineers

Mathematical Analysis for Engineers Author Bernard Dacorogna
ISBN-10 9781848169234
Release 2012-06-18
Pages 372
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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.



Introductory Complex Analysis

Introductory Complex Analysis Author Richard A. Silverman
ISBN-10 9780486318523
Release 2013-04-15
Pages 400
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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.



Complex Variables for Scientists and Engineers

Complex Variables for Scientists and Engineers Author John D. Paliouras
ISBN-10 9780486493473
Release 2014-02-20
Pages 586
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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 Analysis with Applications in Science and Engineering

Complex Analysis with Applications in Science and Engineering Author Harold Cohen
ISBN-10 9780387730585
Release 2010-04-23
Pages 477
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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.



Complex Variables and the Laplace Transform for Engineers

Complex Variables and the Laplace Transform for Engineers Author Wilbur R. LePage
ISBN-10 9780486136448
Release 2012-04-26
Pages 512
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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.



A Collection of Problems on Complex Analysis

A Collection of Problems on Complex Analysis Author Lev Izrailevich Volkovyski?
ISBN-10 9780486669137
Release 1991
Pages 426
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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

Complex Analysis Author Dennis G. Zill
ISBN-10 9781449694623
Release 2013-09-01
Pages 475
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Complex Analysis: A First Course with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex analysis, this text discusses the theory of the most relevant mathematical topics in a student-friendly manner. With a clear and straightforward writing style, concepts are introduced through numerous examples, illustrations, and applications. Each section of the text contains an extensive exercise set containing a range of computational, conceptual, and geometric problems. In the text and exercises, students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section devoted exclusively to the applications of complex analysis to science and engineering, providing students with the opportunity to develop a practical and clear understanding of complex analysis. New and Key Features: Clarity of exposition supported by numerous examples Extensive exercise sets with a mix of computational and conceptual problems Applications to science and engineering throughout the text New and revised problems and exercise sets throughout Portions of the text and examples have been revised or rewritten to clarify or expand upon the topics at hand The Mathematica syntax from the second edition has been updated to coincide with version 8 of the software.



Functions of One Complex Variable

Functions of One Complex Variable Author J.B. Conway
ISBN-10 9781461599722
Release 2012-12-06
Pages 313
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This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E - I) arguments. The actual pre requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz's rule for differ entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as "An Introduction to Mathe matics" has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.



A Friendly Approach to Complex Analysis

A Friendly Approach to Complex Analysis Author Sara Maad Sasane
ISBN-10 9789814579018
Release 2013-12-24
Pages 964
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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)