Calculus on normed vector spaces
This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematical maturity. All the important topology and functional analysis topics are introd...
Uloženo v:
| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Vydání: | 1st ed. 2012. |
| Edice: | Universitext
|
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Calculus on normed vector spaces, Rodney Coleman, New York, Springer, 2012, 1 vol. (XI-249 p.), Universitext, 978-1-461-43893-9 • Calculus on normed vector spaces, Rodney Coleman, New York, Springer, 2012, 1 vol. (XI-249 p.), Universitext, 978-1-461-43893-9 • Calculus on Normed Vector Spaces, Texte imprimé, 9781461438953 • Calculus on normed vector spaces, Rodney Coleman, New York, Springer, 2012, 1 vol. (XI-249 p.), Universitext, 978-1-461-43893-9 |
Obsah:
- Preface
- 1 Normed Vector Spaces
- 2 Differentiation
- 3 Mean value theorems
- 4 Higher derivatives and differentials
- 5 Taylor theorems and applications
- 6 Hilbert spaces
- 7 Convex functions
- 8 The inverse and implicit mapping theorems
- 9 Vector fields
- 10 The flow of a vector field
- 11 The calculus of variations: an introduction
- Bibliography
- Index