(eBook PDF) A First Course on Numerical Methods 5th Edition – Digital Ebook – Instant Delivery Download
Product details:
- ISBN-10 : 0898719976
- ISBN-13 : 978-0898719970
- Author: Uri M. Ascher, Chen Greif
A First Course on Numerical Methods is designed for students and researchers who seek practical knowledge of modern techniques in scientific computing. Avoiding encyclopaedic and heavily theoretical exposition, the book provides an in-depth treatment of fundamental issues and methods, the reasons behind the success and failure of numerical software, and fresh and easy-to-follow approaches and techniques. The authors focus on current methods, issues and software while providing a comprehensive theoretical foundation, enabling those who need to apply the techniques to successfully design solutions to nonstandard problems. The book also illustrates algorithms using the programming environment of MATLAB®, with the expectation that the reader will gradually become proficient in it while learning the material covered in the book. The book takes an algorithmic approach, focusing on techniques that have a high level of applicability to engineering, computer science and industrial mathematics.
Table contents:
Chapter 1. Introduction and Preliminaries
Chapter 2. Approximation and Algorithms
Chapter 3. Interpolation
Chapter 4. Numerical Differentiation, Numerical Quadrature, and Summation
Chapter 5. The Numerical Solution of Ordinary Differential Equations
Chapter 6. Functional Approximation: Least-Squares Techniques
Chapter 7. Functional Approximation: Minimum Maximum Error Techniques
Chapter 8. The Solution of Nonlinear Equations
Chapter 9. The Solution of Simultaneous Linear Equations
Chapter 10. The Calculation of Eigenvalues and Eigenvectors of Matrices
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