## Complex Analysis and Applications, Second Edition

Author: Alan Jeffrey

Publisher: CRC Press

ISBN: 158488553X

Category: Mathematics

Page: 592

View: 5073

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.
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## COMPLEX VARIABLES

THEORY AND APPLICATIONS

Author: H. S. KASANA

Publisher: PHI Learning Pvt. Ltd.

ISBN: 9788120326415

Category: Mathematics

Page: 504

View: 2232

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.
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## Complex analysis and applications

Author: Alan Jeffrey

Publisher: CRC Pr I Llc

ISBN: N.A

Category: Mathematics

Page: 624

View: 4807

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## 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: 1708

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.
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## A First Course in Complex Analysis with Applications

Author: Dennis G. Zill,Patrick D. Shanahan

Publisher: Jones & Bartlett Publishers

ISBN: 1449668836

Category: Mathematics

Page: 405

View: 4874

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.
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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: 2748

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.
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## Complex Variables

Second Edition

Author: Stephen D. Fisher

Publisher: Courier Corporation

ISBN: 0486406792

Category: Mathematics

Page: 427

View: 7051

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.
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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: 8683

Covers complex numbers, analytic functions, integration, residue theory, conformal mapping, and Fourier and Laplace transforms.
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## Introduction to Complex Analysis

Author: JunjirÅ Noguchi

Publisher: American Mathematical Soc.

ISBN: 9780821803776

Category: Mathematics

Page: 250

View: 1526

Complex analysis is an active research subject in itself, but, even more, it provides the foundation for broad areas of mathematics, and plays an important role in the applications of mathematics to engineering. This book is intended to provide a classical introduction to complex analysis for university students in the sciences and engineering. It is based on lectures for third-year students given by the author at the Tokyo Institute of Technology.
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