Applied Numerical Methods with Python, 1st Edition is written for students who want to learn and apply numerical methods in order to solve problems in engineering and science. As such, the methods are motivated by problems rather than by mathematics. That said, sufficient theory is provided so that students come away with insight into the techniques and their shortcomings. If youve ever used Applied Numerical Methods for MATLAB, youll find transitioning to this Python program seamless! No prior experience with Python is required. McGraw Hill Connect, is available with this title. In addition to providing the MHeBook, Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need, when they need it, how they need it, so that class time is more effective. Connect enables professors to assign homework, quizzes, and tests easily and automatically grades and records the scores of the student's work.
1 Mathematical Modeling, Numerical Methods, and Problem Solving
2 MATLAB Fundamentals
3 Programming with MATLAB
4 Roundoff and Truncation Errors
5 Roots: Bracketing Methods
6 Roots: Open Methods
7 Optimization
8 Linear Algebraic Equations and Matrices
9 Gauss Elimination
10 LU Factorization
11 Matrix Inverse and Condition
12 Iterative Methods
13 Eigenvalues
14 Linear Regression
15 General Linear Least-Squares and Nonlinear Regression
16 Fourier Analysis
17 Polynomial Interpolation
18 Splines and Piecewise Interpolation
19 Numerical Integration Formulas
20 Numerical Integration of Functions
21 Numerical Differentiation
22 Initial-Value Problems
23 Adaptive Methods and Stiff Systems
24 Boundary-Value Problems
Appendix A: Matplotlib
Appendix B: Cubic Spline Smoothing
Appendix C: Python Built-in Keywords: Functions, Methods, Operators, Types
Appendix D: Python Functions and Scripts Presented in the Text
Bibliography
Index
Accessibility Content: Text Alternatives for Images
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