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Applied Numerical Methods with MATLAB for Engineers and Scientists, 4th Edition
ISBN10: 0073397962 | ISBN13: 9780073397962
© 2018
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Part One - Modeling, Computers, and Error Analysis
1) Mathematical Modeling, Numerical Methods, and Problem Solving
2) MATLAB Fundamentals
3) Programming with MATLAB
4) Roundoff and Truncation Errors
Part Two - Roots and Optimization
5) Roots: Bracketing Methods
6) Roots: Open Methods
7) Optimization
Part Three - Linear Systems
8) Linear Algebraic Equations and Matrices
9) Gauss Elimination
10) LU Factorization
11) Matrix Inverse and Condition
12) Iterative Methods
13) Eigenvalues
Part Four - Curve Fitting
14) Linear Regression
15) General Linear Least-Squares and Nonlinear Regression
16) Fourier Analysis
17) Polynomial Interpolation
18) Splines and Piecewise Interpolation
Part Five - Integration and Differentiation
19) Numerical Integration Formulas
20) Numerical Integration of Functions
21) Numerical Differentiation
Part Six - Ordinary Differential Equations
22) Initial-Value Problems
23) Adaptive Methods and Stiff Systems
24) Boundary-Value Problems
Appendix A - MATLAB Built-In Functions
Appendix B - MATLAB M-File Functions
Index
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