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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2012.
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| Edición: | 1st ed. 2012. |
| Colección: | Universitext,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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.