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Visual Mathematics Using the TI-92 and TI-89

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ISBN-10: 2287596852

ISBN-13: 9782287596858

Edition: 2000

Authors: J. M. Ferrard, H. L. Lemberg

List price: $99.00
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Description:

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, differential equations, etc.) Linear Algebra (orthogonality, reduction, etc.). The idea behind this book is totally original and will teach the reader not only all the necessary theorems and examples, but illustrations of the calculator screens and the programs (short versions) will allow the reader to visualize these new concepts directly from the book, or on the calculator, leading to a better…    
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Book details

List price: $99.00
Copyright year: 2000
Publisher: Springer
Publication date: 3/1/2000
Binding: Paperback
Pages: 451
Size: 6.00" wide x 9.00" long x 1.00" tall
Weight: 1.738
Language: English

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 matrices
Calculator guide
Expansion, factorization
Equations and systems
Differentiation and integration
Matrices and lists
Sums, products, limits
Expressions, sub-expressions
Bibliography
List of the programs
Symbols used in the book
Index