notes on the calculus of variations and optimization preliminary lecture notes adolfo j rumbos c draft date november 14 2017 2 contents 1 preface 5 2 variational problems 7 2 ...
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...Notes on the calculus of variations and optimization preliminary lecture adolfo j rumbos c draft date november contents preface variational problems minimal surfaces linearized surface equation vibrating string indirect methods geodesics in plane fundamental lemmas euler lagrange equations convex minimization g ateaux dierentiability aminimization problem functionals theorem with constraints queen dido s multiplier an isoperimetric a some inequalities cauchy schwarz inequality b theorems about integration dierentiating under integral sign divergence continuity denition...