Complex Analysis for Mathematics and Engineering


Author: John H. Mathews,Russell W. Howell
Publisher: Jones & Bartlett Publishers
ISBN: 1449604455
Category: Mathematics
Page: 645
View: 4452
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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: 2921
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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: 3366
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Covers complex numbers, analytic functions, integration, residue theory, conformal mapping, and Fourier and Laplace transforms.

Complex Analysis and Applications, Second Edition


Author: Alan Jeffrey
Publisher: CRC Press
ISBN: 158488553X
Category: Mathematics
Page: 592
View: 9227
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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 Analysis with Applications in Science and Engineering


Author: Harold Cohen
Publisher: Springer Science & Business Media
ISBN: 0387730583
Category: Mathematics
Page: 477
View: 4018
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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.

Basic complex variables for mathematics and engineering


Author: John H. Mathews
Publisher: Allyn & Bacon
ISBN: N.A
Category: Mathematics
Page: 319
View: 9549
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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: 6433
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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: 2058
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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.

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: 7459
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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.

A First Course in Complex Analysis with Applications


Author: Dennis G. Zill,Patrick D. Shanahan
Publisher: Jones & Bartlett Publishers
ISBN: 1449657524
Category: Mathematics
Page: 405
View: 9910
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The new Second Edition of A First Course in Complex Analysis 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 variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manner. With Zill's clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. 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 on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.

Komplexe Analysis für Ingenieure


Author: P. Henrici,R. Jeltsch
Publisher: Springer-Verlag
ISBN: 3034876491
Category: Mathematics
Page: N.A
View: 3295
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Die Theorie der komplexen Funktionen wird im Hinblick auf die den Ingenieur interessierenden Anwendungen entwickelt. Dementsprechend wird das intuitive Erfassen von Tatsachen und Begriffen in den Vordergrund gestellt und Beweisführungen werden nur gebracht, soweit sie zum anschaulichen Verständnis des Stoffes beitragen. Dieser erste Band enthält den Begriff der komplexen Funktionen, der analytischen Funktionen, der konformen Abbildung. Die wichtigsten komplexen Funktionen werden auf ihr Abbildungsverhalten hin ausführlich untersucht. Es wird eine Methode entwickelt, die mit Hilfe konformer Abbildung ebene Potentialprobleme löst.

Complex Variables with Applications


Author: Saminathan Ponnusamy,Herb Silverman
Publisher: Springer Science & Business Media
ISBN: 9780817645137
Category: Mathematics
Page: 514
View: 2954
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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: 4697
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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.

Anschauliche Funktionentheorie


Author: Tristan Needham
Publisher: Oldenbourg Wissenschaftsverlag
ISBN: 9783486709025
Category: Mathematics
Page: 685
View: 2106
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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)

Einführung in die Komplexe Analysis

Elemente der Funktionentheorie
Author: Wolfgang Fischer,Ingo Lieb
Publisher: Springer-Verlag
ISBN: 3834893773
Category: Mathematics
Page: 214
View: 6552
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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.

Visual Complex Analysis


Author: Tristan Needham
Publisher: Oxford University Press
ISBN: 9780198534464
Category: Mathematics
Page: 592
View: 591
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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

THEORY AND APPLICATIONS
Author: H. S. KASANA
Publisher: PHI Learning Pvt. Ltd.
ISBN: 9788120326415
Category: Mathematics
Page: 504
View: 7956
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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.

Reelle und Komplexe Analysis


Author: Walter Rudin
Publisher: Walter de Gruyter
ISBN: 9783486591866
Category: Analysis - Lehrbuch
Page: 499
View: 5031
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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.

Elementary Real and Complex Analysis


Author: Georgi E. Shilov
Publisher: Courier Corporation
ISBN: 0486135004
Category: Mathematics
Page: 544
View: 3935
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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

Carleman’s Formulas in Complex Analysis

Theory and Applications
Author: L.A. Aizenberg
Publisher: Springer Science & Business Media
ISBN: 9401115966
Category: Mathematics
Page: 299
View: 8612
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Integral representations of holomorphic functions play an important part in the classical theory of functions of one complex variable and in multidimensional com plex analysis (in the later case, alongside with integration over the whole boundary aD of a domain D we frequently encounter integration over the Shilov boundary 5 = S(D)). They solve the classical problem of recovering at the points of a do main D a holomorphic function that is sufficiently well-behaved when approaching the boundary aD, from its values on aD or on S. Alongside with this classical problem, it is possible and natural to consider the following one: to recover the holomorphic function in D from its values on some set MeaD not containing S. Of course, M is to be a set of uniqueness for the class of holomorphic functions under consideration (for example, for the functions continuous in D or belonging to the Hardy class HP(D), p ~ 1).