Visual mathematics, illustrated by the TI-92 and the TI-89 /
The aim of this book is to present basic and advanced mathematical concepts using the graphical and traditional calculator, the TI 92 and the TI 89. These mathematical concepts are commonly taught at some stage of the first three years of college curricula; Analysis (approximations, convergence, dif...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Paris ; New York :
Springer,
[2000]
|
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Discrete dynamical systems
- Dynamical systems in R
- Newton's method in R
- Equivalence between different systems
- Dynamical systems of the plane
- Differential equations
- Definition of the problem
- Linear equations of first order
- Non linear first order equations
- Systems of differential equations of first order
- Linear differential equations of order n
- Autonomous systems of the plane
- Numeric solutions
- The Laplace transformation
- Fourier analysis
- Fourier series
- Acceleration of convergence of Fourier series
- Hilbert analysis
- Discrete Fourier transform
- Fast Fourier transform
- An introduction to wavelets
- Interpolation and approximation
- Interpolating polynomials
- The Runge phenomenon
- Interpolating by equally spaces x-values
- Hermite interpolation
- Bezier curves
- Spline functions
- Interpolating by rational fractions
- Trigonometric interpolation
- Orthogonality
- PreHilbert or inner product spaces
- Problems of least squares
- Orthogonal polynomials
- Gaussian quadrature
- Orthogonal operators
- QR factorization
- Eigenvalues and eigenvectors
- Review of theory
- Reduction of operators
- Localization of eigenvalues
- Power methods of finding eigenvalues
- Other iterative methods
- Symetric operators
- Positive symetric metrices
- Calculator guide.