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16-Calculus-of-Variation-2017-22.pdf
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👤 Author: GDC Jhandutta
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Summary

The calculus of variation is a technique used to solve problems in dynamics and other mathematical fields by extremizing functionals. It generalizes the problem of finding extrema of functions of several variables. The calculus of variations is used to find the shortest path between two points on a surface, the curve that yields a surface of revolution, and to formulate the Branchistochrone problem. It underpins modern mathematical physics via Hamilton's Principle of least action and can be used to generate interesting differential equations. Applications include the Principle of least action in physics, Lagrangian mechanics, and Hamiltonian mechanics.

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The calculus of variation is a technique used to solve problems in dynamics and other mathematical fields by extremizing functionals.

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  • File Format: PDF
  • File Size: 956 KB
  • Pages: 4
  • Language: EN
  • Author: GDC Jhandutta
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  • Last Updated: 2 months ago

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