Titlebook: Change and Variations; A History of Differe Jeremy Gray Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exclusive lice

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,Aufgaben über das rechtwinklige Dreieck,Further comments on the Dirichlet problem, and solution methods due to Schwarz and Harnack are introduced.

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Variational Problems and the Calculus,The origin of the calculus of variations and the problems of the catenary and the brachistochrone.

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The Calculus of Variations,Euler’s major work on the calculus of variations is introduced, with an account of how it led to the discovery of the Euler–Lagrange equations.

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Revision,This chapter is both a revision of the material so far and a discussion of how to tackle short essay questions on the subjects raised.