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- 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. Debugging;Workbook;Rootfinding;Interpolation;Quadrature;Spline;Monte-Carlo Methods;Adaptive Quadrature;Eigenvalues;Singular Values;Conjugate Gradient Method0Key Features:
- The book can be used for both senior undergraduate and first year graduate courses
- The presentation is well-suited for self-study
- No previous programming experience with MATLAB is required
- Each task is divided into small steps to simplify development and testing
- Most chapters are independent of the others so that individual chapters can be studied without material from previous chapters
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