Several Complex Variables

Erscheinungsjahr 2010
ISBN: 978-0-521-15389-8
Verlag: Cambridge University Press

Buch, Englisch, Band 37, 578 Seiten, Format (B × H): 156 mm x 234 mm, Gewicht: 866 g

Reihe: Mathematical Sciences Research Institute Publications

Several Complex Variables is a central area of mathematics with strong interactions with partial differential equations, algebraic geometry, number theory, and differential geometry. The 1995-1996 MSRI program on Several Complex Variables emphasized these interactions and concentrated on developments and problems of interest that capitalize on this interplay of ideas and techniques. This collection provides a remarkably clear and complete picture of the status of research in these overlapping areas and will provide a basis for significant continued contributions from researchers. Several of the articles are expository or have extensive expository sections, making this an excellent introduction for students to the use of techniques from these other areas in several complex variables. Thanks to ist distinguished list of contributors this volume provides a representative sample of the work done in Several Complex Variables.

Autoren/Hrsg.

Schneider, Michael

Siu, Yum-Tong

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

1. Formalization and computational aspects of image analysis Luis Alvarez and Jean Michel Morel
2. Domain decomposition algorithms Tony F. Chan and Tarek P. Mathew
3. Aspects of the numerical analysis of neural networks Stephen W. Ellacott
4. A review of pseudospectral methods for solving partial differential equations Bengt Fornberg and David M. Sloan
5. Exact and approximate controllability for distributed parameter systems R. Glowinski and J. L. Lions
6. On the numerical evaluation of electrostatic fields in composite materials Leslie Greengard and Monique Moura
7. Numerical geometry of surfaces Malcolm Sabin
8. Numerical analysis of dynamical systems Andrew Stuart.

Über Autor(innen)

Edited by: Arieh Iserles, University of Cambridge

All Contributors:
Luis Alvarez, Jean Michel Morel, Tony F. Chan, Tarek P. Mathew, Stephen W. Ellacott, Bengt Fornberg, David M. Sloan, R. Glowinski, J. L. Lions, Leslie Greengard, Monique Moura, Malcolm Sabin, Andrew Stuart