Mathematical Analysis and the Mathematics of Computation
This book is a comprehensive, unifying introduction to the field of mathematical analysis and the mathematics of computing. It develops the relevant theory at a modern level and it directly relates modern mathematical ideas to their diverse applications. The authors develop the whole theory. Startin...
| Main Authors: | , |
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| Corporate Author: | |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| Edition: | 1st ed. 2016. |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-319-42755-3 |
Table of Contents:
- Sets, Structures, Numbers
- Metric Spaces
- Continuous Functions in Metric Spaces
- Linear Normed Spaces, Linear Operators
- The Differential Calculus
- Applications of the Differential Calculus
- The Integral Calculus
- Linear Integral Operators
- Inner Product Spaces
- Approximative Representation of Functions
- Ordinary Differential Equations
- Discretization of Operator Equations
- Numerical Solution of Ordinary Differential Equations.