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

Cabinet

The Heat Equation,Fourier introduction of the heat equation and his solution in terms of what became called Fourier series and Fourier integrals is described.

Bridle

Gauss and the Hypergeometric Equation,Gauss’s work on the hypergeometric equation is described.

dilute

Existence Theorems,Cauchy was the first to seriously raise the question of the existence of solutions to an ordinary differential equation; here his early lectures on the topic are presented.

PANG

Riemann and Complex Function Theory,Riemanns approach to the new subject of complex analysis is described.

拘留

Riemann and the Hypergeometric Equation,Riemann’s study of the hypergeometric equation is described.

Reclaim

apropos

草率男

More General Partial Differential Equations,The first existences theorems for first-order partial differential equations, due to Cauchy and Kovalevskaya, are described.

FEAT

Proclaim

,Attempts on Laplace’s Equation,Further comments on the Dirichlet problem, and solution methods due to Schwarz and Harnack are introduced.