Numerical Methods

Numerical Methods: Using MATLAB, Fourth Edition, provides a clear, rigorous introduction to a wide range of numerical methods and their practical applications. The authors integrate MATLAB with numerical analyses to help readers develop familiarity with the tool. MATLAB graphics are used extensively to clarify complex problems and give deeper understanding, and hundreds of useful and important numerical algorithms are included. Worked examples, exercises and solutions help illustrate how methods can be used to study problems that have applications in the biosciences, chaos, optimization, engineering, and in science across the board.

• Features over 500 numerical algorithms and their fundamental principles and applications
• Includes new chapters on Neural Computing and Wavelet Analysis
• Contains new problems and worked examples throughout
• Provides a user-friendly resource that is written in a conversational style

Upper level students taking technical courses in which MATLAB is used as the computational tool of choice for solving numerically-based problems; professionals in engineering, bioengineering, and computer science fields and scientists needing user-friendly text to solve specific problems in numerical analysis

1. An Introduction to Matlab
2. Linear Equations and Eigensystems
3. Solution of Nonlinear Equations
4. Differentiation and Integration
5. Solution of Differential Equations
6. Boundary Value Problems
7. Analyzing Data
8. Analyzing Data using Discrete Transforms
9. Optimization Methods
10. Applications of the Symbolic Toolbox