Description
Book SynopsisApplied 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. Sufficient theory is provided so students come away with insight into the techniques and their shortcomings. If you have ever used Applied Numerical Methods for MATLAB, you'll find transitioning to this Python program seamless!
Table of Contents1 Mathematical Modeling, Numerical Methods, and Problem Solving
2 Python Fundamentals
3 Programming in Python
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 Straight-Line Linear Regression
15 General Linear 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
