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The document discusses the calculus of variations, focusing on the determination of local maxima and minima for functions, and introduces the concept of functionals which map a set of functions to real numbers. It outlines the historical context of the subject, initiated by Euler and Bernoulli, and presents the Euler-Lagrange equation as a necessary condition for extremizing functionals. Additionally, it provides examples and mathematical formulations to illustrate the principles of extremizing paths in var
- Author
- tuakha94
- Language
- EN