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Calculus of Variations
£2.50
Topics in this product include deriving the Euler-Lagrange equation, special cases and the Beltrami identity, the brachistochrone problem, constrained problems with Lagrange multipliers, and systems of Euler-Lagrange equations.
This is a 8-page PDF scan of handwritten notes, featuring clickable PDF bookmarks so you can jump straight to any page in a PDF viewer such as Adobe Acrobat. Complete page-by-page contents can be found below so you know exactly what's inside before you buy.
MathsPage-by-page contents
Maths
Page-by-page contents
- 01Calculus of variations, arc length, functional
- 02Euler-Lagrange equation derivation
- 03Example, special cases: no dependence on y, no dependence on y’, no dependence on x, Beltrami identity
- 04Examples, brachistochrone curve
- 05Constrained problems, lagrange multipliers, example
- 06Example
- 07Example
- 08Systems of Euler-Lagrange equations, example