Differential equations, mechanics, and computation /
General Material Designation
[Book]
First Statement of Responsibility
Richard S. Palais, Robert A. Palais
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xiii, 313 pages :
Other Physical Details
illustrations ;
Dimensions
22 cm
SERIES
Series Title
Student mathematical library. IAS/Park City mathematical subseries ;
Volume Designation
v. 51
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index
CONTENTS NOTE
Text of Note
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