Topics in Physical Mathematics

• Main Author: Marathe, Kishore. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: London : Springer London : Imprint: Springer, 2010.
• Subjects: Mathematics.; Field theory (Physics).; Global analysis.; Global differential geometry.; Topology.; Cell aggregation > Mathematics.; Differential Geometry.; Manifolds and Cell Complexes (incl. Diff.Topology).; Field Theory and Polynomials.; Global Analysis and Analysis on Manifolds.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-84882-939-8

The roots of physical mathematics can be traced back to the very beginning of man's attempts to understand nature. Indeed, mathematics and physics were part of what was called natural philosophy. Rapid growth of the physical sciences, aided by technological progress and increasing abstraction...

Table of Contents:

• Algebra
• Topology
• Manifolds
• Bundles and Connections
• Characteristic Classes
• Theory of Fields, I: Classical
• Theory of Fields, II: Quantum and Topological
• Yang-Mills-Higgs Fields
• 4-Manifold Invariants
• 3-Manifold Invariants
• Knot and Link Invariants
• Dictionary of Terminology
• Historical and Biographical Notes
• Categories and Chain Complexes
• Operator Theory.