Highly regarded
graduate-level text introduces ideas and techniques of important mathematical topic. First
and second variations of an integral, generalizations, isoperimetrical problems, least
action, special relativity, Rayleigh-Ritz method, elasticity, variable end points, strong
variations, more. Many illustrative examples. References. Index.
1 - First variation
2 - Second variation
3 - Generalizations of the results of the previous chapters
4 - Relative maxima and minima isoperimetrical problems
5 - Hamilton's principle and the principle of least action
6 - Hamilton's principle in the special relativity
7 - Approximation methods with applications to problems of elasticity
8 - Integrals with variable end points. Hilbert's integral
9 - Strong variations and the Weierstrassian E function
280 pages
Description
Highly regarded graduate-level text covers variations of an integral, isoperimetrical
problems, least action, special relativity, approximations, more. References.