June 2014
Intermediate to advanced
233 pages
5h 42m
English
Content preview from Applied Calculus of Variations for Engineers, 2nd Edition
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List of Figures
1.1 Alternativesolutionsexample................... 5
1.2 Solutionofthebrachistochroneproblem ............. 17
1.3 Trajectoryofparticle........................ 22
2.1 Maximum area under curves . . . . . . . . . . . . . . . . . . . . 31
2.2 Thecatenarycurve......................... 34
3.1 Saddlesurface............................ 42
3.2 Catenoidsurface .......................... 44
5.1 EigensolutionsofLegendre’sequation .............. 66
7.1 AccuracyoftheRitzsolution ................... 94
7.2 Domain with overlapping circular regions . . . . . . . . . . . . 100
7.3 SolutionofPoisson’sequation...................102
8.1 Geodesiccurveofacyl
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