Riemann, Topology, and Physics

2. Auflage 1999. 2. printing 2008
ISBN: 978-0-8176-4778-0
Verlag: Birkhäuser Boston

Buch, Englisch, 215 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 365 g

Reihe: Modern Birkhäuser Classics

This significantly expanded second edition of Riemann, Topology, and Physics combines a fascinating account of the life and work of Bernhard Riemann with a lucid discussion of current interaction between topology and physics. The author, a distinguished mathematical physicist, takes into account his own research at the Riemann archives of Göttingen University and developments over the last decade that connect Riemann with numerous significant ideas and methods reflected throughout contemporary mathematics and physics.

Zielgruppe

Research

Autoren/Hrsg.

Monastyrsky, Michael I.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

Bernhard Riemann.- Beginnings.- Doctoral Dissertation.- Privatdozent at Göttingen.- Riemann and Dirichlet.- Full Professor in Göttingen.- Last Years.- Posthumous Fate.- Topological Themes in Contemporary Physics.- Topological Structures.- The Connectivity of a Manifold and Quantization of Magnetic Flux.- Systems with Spontaneous Symmetry Breaking.- Topology and Liquid Crystals.- Theory of Gauge Fields.- Topological Particles.- Soliton Particles.- Knots, Links, and Physics.- What Next?.- A Brief Historical Survey.