Includes index.

1.Introduction
2.Number Systems and Errors
3.Roots of Equations
4.Systems of Linear Equations
5. Interpolation
6.Interpolation with Spline Functions
7.The Method of Least Squares
8.Numerical Optimization
9.Numerical Differentiation
10.Numerical Integration
11.Numerical Methods for Ordinary Differential Equations
12.Boundary-Value Problems
13.Eigenvalues and Eigenvectors
14.Partial Differential Equations

The second edition of "An Introduction to Numerical Methods: A MATLAB Approach" serves as a robust foundation for students in mathematics, science, and engineering. It skillfully integrates the theoretical underpinnings of numerical techniques with the practical application of MATLAB, a crucial skill in today's computational landscape. The book covers a wide spectrum of essential algorithms, presented with meticulous detail to facilitate clear visualization and interpretation of each step.

Key enhancements in this edition, such as a dedicated chapter on numerical optimization and new sections addressing finite elements, significantly broaden its scope and relevance. The increased number of exercises and applied problems in each chapter further solidifies understanding and reinforces learning. By seamlessly incorporating MATLAB into the textual explanations, the authors provide a hands-on approach that empowers students to achieve tangible results swiftly.

The emphasis on conceptual understanding, coupled with a straightforward writing style and comprehensive coverage, makes this book an exceptional starting point for mastering numerical methods. It not only imparts essential knowledge but also cultivates confidence in tackling complex problems using computational tools. This updated edition effectively bridges the gap between theoretical concepts and practical implementation, making it an invaluable resource for aspiring researchers and professionals.