ISE Applied Numerical Methods with MATLAB for Engineers and Scientists
About This Book
This textbook provides a comprehensive introduction to numerical methods for engineering and science students, focusing on the practical application of these methods using MATLAB. It covers fundamental topics including root finding, linear algebraic equations, optimization, curve fitting, and numerical integration and differentiation, alongside ordinary and partial differential equations.
Book Review | Amerbach
This book serves as a foundational resource for students in engineering and scientific disciplines who require a robust understanding of numerical methods. By integrating theoretical concepts with practical implementation via MATLAB, the book bridges the gap between mathematical abstraction and computational problem-solving. The scope of the text is broad, encompassing essential numerical techniques such as root-finding algorithms, systems of linear algebraic equations, curve fitting, and numerical integration. Furthermore, the inclusion of chapters on ordinary and partial differential equations ensures that students are prepared for the mathematical challenges encountered in advanced engineering coursework. A notable characteristic of this book is its pedagogical structure, which emphasizes the application of numerical methods to real-world engineering problems. The author utilizes clear, illustrative examples that demonstrate how MATLAB can be leveraged to automate complex calculations, thereby enhancing the student's ability to analyze and interpret data. The organization of the material is logical, moving from basic concepts to more sophisticated numerical techniques, which facilitates a structured learning progression. The book is specifically designed for undergraduate students who possess a basic background in calculus and introductory programming. Its focus on the practical utility of numerical methods makes it an effective tool for both classroom instruction and independent study. In the context of academic study, this book occupies a central position as a primary reference for numerical analysis courses within engineering departments. It provides the necessary technical depth to ensure students can implement numerical solutions effectively while maintaining a focus on the underlying mathematical principles. By combining clear explanations with computational practice, the book remains a standard reference for those seeking to master numerical methods in a modern engineering environment.
Academic Use
Engineering and Science curricula
Who Is It For?
Undergraduate engineering and science students requiring a practical introduction to numerical methods.
Table of Contents
- 1. Mathematical Modeling, Numerical Methods, and Problem Solving
- 2. MATLAB Programming
- 3. Truncation and Round-Off Errors
- 4. Roots: Bracketing Methods
- 5. Roots: Open Methods
- 6. Optimization
- 7. Linear Algebraic Equations
- 8. Least-Squares Regression
- 9. Interpolation
- 10. Numerical Integration
- 11. Numerical Differentiation
- 12. Ordinary Differential Equations: Initial-Value Problems
- 13. Ordinary Differential Equations: Boundary-Value Problems
- 14. Partial Differential Equations.