A Study of the Calculus of Variations
2009
- 28Usage
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Example: if you select the 1-year option for an article published in 2019 and a metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019. If you select the 3-year option for the same article published in 2019 and the metric category shows 90%, that means that the article or review is performing better than 90% of the other articles/reviews published in that journal in 2019, 2018 and 2017.
Citation Benchmarking is provided by Scopus and SciVal and is different from the metrics context provided by PlumX Metrics.
Metrics Details
- Usage28
- Abstract Views27
- Downloads1
Thesis / Dissertation Description
This thesis is an introductory study of the calculus of variations. We will begin by introducing the field of the calculus of variations, its history and describe the classical problems of the calculus of variations. We will present the solutions to these problems and introduce the mathematical theory needed for their solution. These problems include one of the most famous problems in the calculus of variations, that of finding the brachistochrone curve. After exploring these interesting curves, we will move on to studying geodesics on a variety of surfaces including the cylinder, sphere, torus and cone. In each of these chapters, we work to describe both analytically and geometrically all of the geodesics on these surfaces.
Bibliographic Details
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