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Practical Numerical Mathematics with MATLAB (Solutions)
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Description
Chapters
Authors
Supplementary
This solutions manual is a companion to the workbook, Practical Numerical Mathematics with MATLAB: A workbook. It is intended for use by individual students independently studying the workbook and provides complete MATLAB code and numerical results for each of the exercises in the workbook and will be especially useful for those students without previous MATLAB programming experience. It is also valuable for classroom instructors to help pinpoint the author's intent in each exercise and to provide a model for graders.
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Contents:
Rootfinding, Interpolation, Approximation and Quadrature:
Introduction to MATLAB
Roots of Equations
The Newton–Raphson Method
Multidimensional Newton's Method
Interpolation on Evenly-Spaced Points
Polynomial and Piecewise Linear Interpolation
Higher-Order Interpolation
Legendre Polynomials and L² Approximation
Quadrature
Topics in Quadrature and Roundoff
Differential Equations and Linear Algebra:
Explicit ODE Methods
Implicit ODE Methods
Boundary Value Problems and Partial Differential Equations
Vectors, Matrices, Norms and Errors
Solving Linear Systems
Factorizations
The Eigenvalue Problem
Singular Value Decomposition
Iterative Methods
Readership: Senior undergraduate and first year graduate students in mathematics, science and engineering.




