Jul 13, 2015 · 8 The differential of a function at is simply the linear function which produces the best linear approximation of in a neighbourhood of . Specifically, among the linear functions that take the …

See this answer in Quora: What is the difference between derivative and differential?. In simple words, the rate of change of function is called as a derivative and differential is the actual change of …

Jul 21, 2018 · 72 can someone please informally (but intuitively) explain what "differential form" mean? I know that there is (of course) some formalism behind it - definition and possible operations with …

Oct 3, 2019 · To define a differential a little more rigorously, let's say that every equation/relation has a foundational independent variable that all the others are ultimately dependent upon, even if we don't …

Nov 3, 2016 · I mean we are defining differential by differential itself. Can we define differential more precisely and rigorously? P.S. Is it possible to define differential simply as the limit of a difference as …

Dec 30, 2025 · How to solve this Ordinary Differential Equation? Ask Question Asked 19 days ago Modified 17 days ago

Differential geometry is the application of differential calculus in the setting of smooth manifolds (curves, surfaces and higher dimensional examples). Modern differential geometry focuses on "geometric …

Jul 6, 2015 · Differential topology deals with the study of differential manifolds without using tools related with a metric: curvature, affine connections, etc. Differential geometry is the study of this geometric …

Dec 19, 2022 · Pushforward of differential forms is a standard operation, described in many expository texts. A fairly detailed presentation is given in Chapter VII of Werner Greub, Stephen Halperin, Ray …

For questions about ordinary differential equations, which are differential equations involving ordinary derivatives of one or more dependent variables with respect to a single independent variable. For …