lecture15: integral constraints and Dido's problem
Topics covered
- Isoperimetric problems
- Dido's problem - traditional
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- Parametric representations
- Green's theorem
- Geometric representation of area
- Parametric description of boundary
- Dido's problem
- Isoperimetric constraint
- Dido's problem: Lagrange multiplier
- Dido's problem: EL equations
- Dido's problem: solution
- End-conditions
- Why does it work?
- Multiple constraints