Differentiable functions. L3, Masters, CAPES, Agregation. (Q2851038)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Differentiable functions. L3, Masters, CAPES, Agregation. |
scientific article; zbMATH DE number 6213222
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differentiable functions. L3, Masters, CAPES, Agregation. |
scientific article; zbMATH DE number 6213222 |
Statements
2 October 2013
0 references
vector spaces
0 references
normed spaces
0 references
linear applications
0 references
Banach spaces
0 references
series
0 references
differentials
0 references
mean theorems
0 references
0 references
0 references
0.82068104
0 references
0.81972563
0 references
Differentiable functions. L3, Masters, CAPES, Agregation. (English)
0 references
This work is an introductory course on differential calculus in vector spaces. The following subjects are presented: 1. Introduction: Normed spaces, linear (multilinear) continuous applications, canonic isomorphisms, series in Banach algebras; 2. Differentiable applications: linearity, composition of differentiable applications, Leibniz formula, partial derivatives, derivatives of higher order. 3. Mean value theorems: Rolle's theorem, the fundamental theorem of integral calculus. 4. Sequences and series of differentiable applications, Schwarz' theorem. There is a set of exercises at the end of each chapter.
0 references
