Complex Variables

Introduction and Applications
2. Auflage 2003
ISBN: 978-0-521-53429-1
Verlag: Cambridge University Press

Buch, Englisch, Band 35, 660 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 1055 g

Reihe: Cambridge Texts in Applied Mathematics

Complex variables provide powerful methods for attacking problems that can be very difficult to solve in any other way, and it is the aim of this book to provide a thorough grounding in these methods and their application. Part I of this text provides an introduction to the subject, including analytic functions, integration, series, and residue calculus and also includes transform methods, ODEs in the complex plane, and numerical methods. Part II contains conformal mappings, asymptotic expansions, and the study of Riemann-Hilbert problems. The authors provide an extensive array of applications, illustrative examples and homework exercises. This new edition has been improved throughout and is ideal for use in undergraduate and introductory graduate level courses in complex variables.

Autoren/Hrsg.

Ablowitz, Mark J.

Fokas, Athanssios S.

Fokas, Athanassios S.

Fokas, A. S.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

Part I: 1. Complex numbers and elementary functions; 2. Analytic functions and integration; 3. Sequences, series and singularities of complex functions; 4. Residue calculus and applications of contour integration; Part II: 5. Conformal mapping and applications; 6. Asymptotic evaluation of integrals; 7. Riemann-Hilbert problems; Index.