Jul 14, 2025  
2022-2023 Graduate Catalog 
    
2022-2023 Graduate Catalog [ARCHIVED CATALOG] Add to Portfolio (opens a new window)

MATH 655 - Calculus of Variations

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Classical calculus of variations, the simplest variational problem, examples, variation of a functional, the Euler-Lagrange equations, the isoperimetric problem, constrained variational problems, Legendre’s condition, Jacobi necessary condition, connection between Jacobi condition and the theory of quadratic forms, the field of a functional, Hilbert invariant integral, Weierstrass E-function, Riccati differential equation, Noether’s theorem, the principle of least action, conservation laws and the Hamilton-Jacobi equation.



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