Complex Analysis and Applications

2. Auflage 2005
ISBN: 978-1-58488-553-5
Verlag: Chapman and Hall/CRC

Buch, Englisch, 592 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 886 g

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.

Zielgruppe

Undergraduate

Autoren/Hrsg.

Jeffrey, Alan

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Technische Wissenschaften Energietechnik | Elektrotechnik Energietechnik & Elektrotechnik

Inhaltsverzeichnis

Analytic Functions. Complex Integration. Taylor and Laurent Series: Residue Theorem and Applications. Conformal Mapping. Boundary Value Problems, Potential Theory, and Conformal Mapping.

Über Autor(innen)

Alan Jeffrey