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Change and Variations: A History of Differential Equations to 1900 (Springer Undergraduate Mathematics Series) by Jeremy Gray (auth.) is a nonfiction available to read on EtoBox.

What is Change and Variations: A History of Differential Equations to 1900 (Springer Undergraduate Mathematics Series) about?

This book presents a history of differential equations, both ordinary and partial, as well as the calculus of variations, from the origins of the subjects to around 1900. Topics treated include the wave equation in the hands of d’Alembert and Euler; Fourier’s solutions to the heat equation and the contribution of Kovalevskaya; the work of Euler, Gauss, Kummer, Riemann, and Poincaré on the hypergeometric equation; Green’s functions, the Dirichlet principle, and Schwarz’s solution of the Dirichlet problem; minimal surfaces; the telegraphists’ equation and Thomson’s successful design of the trans-Atlantic cable; Riemann’s paper on shock waves; the geometrical interpretation of mechanics; and aspects of the study of the calculus of variations from the problems of the catenary and the brachistochrone to attempts at a rigorous theory by Weierstrass, Kneser, and Hilbert. Three final chapters look at how the theory of partial differential equations stood around 1900, as they were treated by Picard and Hadamard. There are also extensive, new translations of original papers by Cauchy, Riemann, Schwarz, Darboux, and Picard. The first book to cover the history of differential equations and the

Who reads Change and Variations: A History of Differential Equations to 1900 (Springer Undergraduate Mathematics Series)?

Author

Jeremy Gray (auth.)

Publisher

Springer International Publishing : Imprint: Springer

Published

2021

Language

EN

ISBN

9783030705756

Category

nonfiction

Subjects

Philosophy, History, Mathematics