Principles of Advanced Mathematical Physics

Inhaltsverzeichnis

• 18 Elementary Group Theory.
• 19 Continuous Groups.
• 20 Group Representations I: Rotations and Spherical Harmonics.
• 21 Group Representations II: General; Rigid Motions; Bessel Functions.
• 22 Group Representations and Quantum Mechanics.
• 23 Elementary Theory of Manifolds.
• 24 Covering Manifolds.
• 25 Lie Groups.
• 26 Metric and Geodesics on a Manifold.
• 27 Riemannian, Pseudo-Riemannian, and Affinely Connected Manifolds.
• 28 The Extension of Einstein Manifolds.
• 29 Bifurcations in Hydrodynamic Stability Problems.
• 30 Invariant Manifolds in the Taylor Problem.
• 31 The Early Onset of Turbulence.
• References.