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Calculus and Analysis in Euclidean Space
The graceful role of analysis in underpinning calculus is often lost to their separation in the curriculum. This book entwines the two subjects, providing a conceptual approach to multivariable calculus closely supported by the structure and reasoning of analysis. The setting is Euclidean space, wit...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| Edición: | 1st ed. 2016. |
| Colección: | Undergraduate Texts in Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Preface
- 1 Results from One-Variable Calculus
- Part I Multivariable Differential Calculus
- 2 Euclidean Space
- 3 Linear Mappings and Their Matrices
- 4 The Derivative
- 5 Inverse and Implicit Functions
- Part II Multivariable Integral Calculus
- 6 Integration
- 7 Approximation by Smooth Functions
- 8 Parameterized Curves
- 9 Integration of Differential Forms
- Index.