MARC details
| 000 -LEADER |
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| fixed length control field |
03104 a2200205 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
140529b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781584885535 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
510 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
JEFFREY, ALAN |
| 9 (RLIN) |
13609 |
| 245 ## - TITLE STATEMENT |
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| Title |
COMPLEX ANALYSIS AND APPLICATIONS |
| Statement of responsibility, etc |
ALAN JEFFREY |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2 |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
CRC PRESS |
| Date of publication, distribution, etc |
2013 |
| Place of publication, distribution, etc |
BOC RATON |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
579 P. |
| Other physical details |
PAPER |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Analytic Functions<br/><br/>Review of Complex Numbers<br/>Curves, Domains, and Regions<br/>Analytic Functions<br/>The Cauchy-Riemann Equations: Proof and Consequences<br/>Elementary Functions<br/>Complex Integration<br/><br/>Contours and Complex Integrals<br/>The Cauchy Integral Theorem<br/>Antiderivatives and Definite Integrals<br/>The Cauchy Integral Formula<br/>The Cauchy Integral Formula for Derivatives<br/>Useful Results Deducible from the Cauchy Integral Formulas<br/>Evaluation of Improper Integrals by Contour Integration<br/>Taylor and Laurent Series: Residue Theorem and<br/><br/> Applications<br/>Sequences, Series, and Convergence<br/>Uniform Convergence<br/>Power Series<br/>Taylor Series<br/>Laurent Series<br/>Classification of Singularities and Zeros<br/>Residues and the Residue Theorem<br/>Applications of the Residue Theorem<br/>The Laplace Inversion Integral<br/>Conformal Mapping<br/><br/>Geometrical Aspects of Analytic Functions: Mapping<br/>Conformal Mapping<br/>The Linear Fractional Transformation<br/>Mappings by Elementary Functions<br/>The Schwarz-Christoffel Transformation<br/>Boundary Value Problems, Potential Theory, and<br/><br/> Conformal Mapping<br/>Laplace’s Equation and Conformal Mapping – Boundary<br/> Value Problems<br/>Standard Solutions of the Laplace Equation<br/>Steady-State Two-Dimensional Temperature Distribution<br/>Steady Two-Dimensional Fluid Flow<br/>Two-Dimensional Electrostatics<br/><br/> |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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.<br/><br/>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.<br/><br/>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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
MATHEMATICAL ANALYSIS |
| 9 (RLIN) |
13610 |
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| Topical term or geographic name as entry element |
FUNCTIONS OF COMPLEX VARIABLES |
| 9 (RLIN) |
13611 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Item type |
Book |
