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

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