An Introduction to Dirac Operators on Manifolds

1. Auflage 2002
ISBN: 978-0-8176-4298-3
Verlag: Springer Nature

Buch, Englisch, Band 24, 211 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 512 g

Reihe: Progress in Mathematical Physics

The chapters on Clifford algebra and differential geometry can be used as an introduction to the topics, and are suitable for senior undergraduates and graduates. The other chapters are also accessible at this level.; This self-contained book requires very little previous knowledge of the domains covered, although the reader will benefit from knowledge of complex analysis, which gives the basic example of a Dirac operator.; The more advanced reader will appreciate the fresh approach to the theory, as well as the new results on boundary value theory.; Concise, but self-contained text at the introductory grad level. Systematic exposition.; Clusters well with other Birkhäuser titles in mathematical physics.; Appendix. General Manifolds * List of Symbols * Bibliography * Index

Zielgruppe

Research

Autoren/Hrsg.

Cnops, Jan

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Experimentalphysik
• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
• Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

Introduction * Clifford Algebras * Manifolds * Dirac Operators * Conformal Maps * Unique Continuation and the Cauchy Kernel * Boundary Values * Appendix. General Manifolds * The Additional Canterbury Tales * List of Symbols * Bibliography * Index