ISE Applied numerical methods with MATLAB for engineers and scientists

Descripción

Libro digital para leer en línea o en app móvil

Descripción:
This book is designed to support a one-semester course in numerical methods. It has been
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.

Tabla de contenidos:

00_Frontmatter
01_Mathematical Modeling, Numerical Methods, and Problem Solving
02_MATLAB Fundamentals
03_Programming with MATLAB
04_Roundoff and Truncation Errors
05_Roots: Bracketing Methods
06_Roots: Open Methods
07_Optimization
08_Linear Algebraic Equations and Matrices
09_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
25_MATLAB BUILT-IN FUNCTIONS
26_MATLAB M-FILE FUNCTIONS
27_INTRODUCTION TO SIMULINK
28_BIBLIOGRAPHY
29_INDEX