# Thread: Mechanical Engineering Ebook On Applied Numerical Methods with Matlab

1. ## Mechanical Engineering Ebook On Applied Numerical Methods with Matlab

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.
MATLAB� provides a great environment for such a course. Although other environments
(e.g., Excel/VBA, Mathcad) or languages (e.g., Fortran 90, C++) could have
been chosen, MATLAB presently offers a nice combination of handy programming features
with powerful built-in numerical capabilities. On the one hand, its M-file programming
environment allows students to implement moderately complicated algorithms in a
structured and coherent fashion. On the other hand, its built-in, numerical capabilities
empower students to solve more difficult problems without trying to “reinvent the
wheel.”
The basic content, organization, and pedagogy of the second edition are essentially
preserved in the third edition. In particular, the conversational writing style is intentionally
maintained in order to make the book easier to read. This book tries to speak directly to the
reader and is designed in part to be a tool for self-teaching

Contents of this Books Are:

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 Algebric Equation 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. Polynominal Interpolation
18. Splines and Piecewise Interpolation
19. Numerical Integration Formulas
20. Numerical Integration of Functions
21. Numerical Differentiation
22. Initial Value Probles
23. Adaptive Methods and Stiff Systems
24. Boundary Value Problems

2. ## Re: Mechanical Engineering Ebook On Applied Numerical Methods with Matlab

good...................................................