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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...
| Call Number: | Libro Electrónico |
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| Main Author: | |
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| Edition: | 1st ed. 2016. |
| Series: | Undergraduate Texts in Mathematics,
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| Subjects: | |
| Online Access: | Texto Completo |
Table of Contents:
- 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.