Differential equations, mechanics, and computation /
[Book]
Richard S. Palais, Robert A. Palais
xiii, 313 pages :
illustrations ;
22 cm
Student mathematical library. IAS/Park City mathematical subseries ;
v. 51
Includes bibliographical references and index
Differential equations and their solutions -- Linear differential equations -- Second-order ODE and calculus of variations -- Newtonian mechanics -- Numerical methods -- Appendix A: Linear algebra and analysis -- Appendix B: The magic of iteration -- Appendix C: Vector fields as differential operators -- Appendix D: Coordinate systems and canonical forms -- Appendix E: Parametrized curves and arclength -- Appendix F: Smoothness with respect to inital conditions -- Appendix G: Canonical form for linear operators -- Appendix H: Runge-Kutta methods -- Appendix I: Multistep methods -- Appendix J: Iterative interpolation and its error