''Intended mainly for physicists and mathematicians...its high quality will definitely attract a wider audience.'' ---Computational Mathematics and Mathematical Physics This work acquaints the physicist with the mathematical principles of algebraic topology, group theory, and differential geometry, as applicable to research in field theory and the theory of condensed matter. Emphasis is placed on the topological structure of monopole and instanton solution to the Yang-Mills equations, the description of phases in superfluid 3He, and the topology of singular solutions in 3He and liquid crystals.
Auflage
Sprache
Verlagsort
Verlagsgruppe
Springer Science+Business Media
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Research
Illustrationen
Maße
Höhe: 260 mm
Breite: 183 mm
Dicke: 26 mm
Gewicht
ISBN-13
978-0-306-44336-7 (9780306443367)
DOI
10.1007/978-1-4899-2403-2
Schweitzer Klassifikation
1. Preliminaries in Mathematical Setting. Basics.- 2. Elements of Topology. How Two Given Manifolds Can be Differentiated.- 3. Physical Principles and Structures.- 4. Topology of Gauge Fields.- 5. Topology of Condensed Matter.- 6. Conclusion.- References.
