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Classroom Contents
Computational Mathematics: Dynamics, Geometry, and Algebra in Numerical Integration
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- 1 Introduction
- 2 Keplers Solar System
- 3 History of Computers
- 4 First Experiments
- 5 Computational Mathematics
- 6 Pure and Applied Mathematics
- 7 Abstractions
- 8 Vector Spaces
- 9 Abstractions in Mathematics
- 10 Symmetries
- 11 Global Analysis
- 12 Classical View
- 13 ObjectOriented Programming
- 14 Finite Elements Analysis
- 15 Finite Element Exterior Calculus
- 16 Eulers Method
- 17 symplectic oiler
- 18 geometric integration
- 19 structure preservation
- 20 method
- 21 computators
- 22 classical theory
- 23 group action
- 24 thermostat
- 25 more efficient
- 26 Taylor series
- 27 Different flavors
