An Introduction to the Calculus of Variations

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Courier Corporation, 1 de gen. 1987 - 271 pàgines
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
 

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Continguts

THE FIRST VARIATION
1
APPROXIMATION METHODS WITH APPLICATIONS
7
TI THE SECOND VARIATION
35
GENERALIZATIONS OF THE RESULTS OF
59
RELATIVE MAXIMA AND MINIMA AND ISOPERI
80
HAMILTONS PRINCIPLE AND THE PRINCIPLE
111
nomic systems
119
HAMILTONS PRINCIPLE IN THE SPECIAL
153
INTEGRALS WITH VARIABLE END POINTS
210
STRONG VARIATIONS AND THE WEIERSTRASSIAN
243
CONTENTS
246
5Gx y dt
264
INDEX
270
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