Calculus of variations
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The calculus of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set
Examples where calculus of variations can be applied- finding minimal surfaces, finding geodesics, deriving Snell's law of refraction, getting an equation to solve the double pendulum problem numerically
Hilbert's problems
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Hilbert's problems are 23 problems in mathematics published by German mathematician David Hilbert in 1900. He intended to rival the master of French mathematics, Henri Poincaré, and to prove that he w
Calculus of variations
…on the theory is epoch-making, and it may be asserted that he was the first to place it on a firm and unquestionable foundation. The 20th and the 23rd Hilbert problem published in 1900 encouraged further development. In the 20th century David Hilbert, Oskar Bolza, Gilbert Ames Bliss, Emmy Noether, Leonida Tonelli…
David Hilbert