Complex Variables

Introduction and Applications

Mark J. Ablowitz, Athanassios S. Fokas

648 pages, parution le 21/10/2003 (2^eme édition)

Ajouter à une liste

Indisponible

Résumé

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.

Part I:
- Complex numbers and elementary functions
- Analytic functions and integration
- Sequences, series and singularities of complex functions
- Residue calculus and applications of contour integration
Part II:
- Conformal mapping and applications
- Asymptotic evaluation of integrals
- Riemann–Hilbert problems
- Index

L'auteur - Mark J. Ablowitz

University of Colorado, Boulder

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Mark J. Ablowitz, Athanassios S. Fokas
Parution	21/10/2003
Édition	2^eme édition
Nb. de pages	648
Format	15 x 23
Couverture	Broché
Poids	872g
Intérieur	Noir et Blanc
EAN13	9780521534291
ISBN13	978-0-521-53429-1