BACK MATTER

The following sections are included:

• Appendix A Topological Space and Mappings

• Appendix B Exterior Forms, Products and Differentials

• Appendix C Lie Groups and Rotation Groups

• Appendix D A Curve and a Surface in ℝ³

• Appendix E Curvature Transformation

• Appendix F Function Spaces L_p, H^s and Orthogonal Decomposition

• Appendix G Derivation of KdV Equation for a Shallow Water Wave

• Appendix H Two-Cocycle, Central Extension and Bott Cocycle

• Appendix I Galilean-Invariant Lagrangian

• Appendix J Principle of Gauge Invariance

• Appendix K Pfaffian System, and Frobenius Integration Theorem

• Appendix L Orthogonal Coordinate Net, and Lines of Curvature

• References

• Index