This widely used textbook demonstrates the power of numerical methods in the context of solving complex engineering and scientific problems. Numerical Analysis for Engineers: Methods and Applications, Third Edition helps to prepare future engineers and assists practicing engineers in understanding the fundamentals of numerical methods, especially their applications, limitations, and potentials.
Each chapter contains many computational examples, as well as a section on applications that contain additional engineering examples. Each chapter also includes a set of exercise problems.
The problems are designed to meet the needs of instructors in assigning homework and to help students with practicing the fundamental concepts. Although the book was developed with emphasis on engineering and technological problems, the numerical methods can also be used to solve problems in other fields of science.
The text is most appropriate for a first course in numerical methods, so students would only need basiccalculus and matrix algebra.
The book offers three general parts: (1) introduction to numerical methods, (2) the process and application of numerical methods, and (3) optimization of engineering data. In all chapters, a proper balance between theory and the application of the numerical methods is provided.
Outstanding Features:
- Presents a balanced mix of theory and engineering concepts
- Emphasizes theoretical background and engineering applications
- Introduces fundamental concepts in a self-contained manner
- Provides numerous examples and applications to illustrate key computational algorithms
- Provides end-of-chapter exercise problems
A Solutions Manual is available for instructors.
Table of Contents:
Preface Acknowledgements 1. Numerical Methods: The Past and Future 2. Matrices 3. Background for Numerical Methods 4. Roots of Equations 5. Simultaneous Linear Equations 6. Numerical Interpolation 7. Differentiation and Integration 8. Differential Equations: Fundamentals 9. Differential Equations of Higher-Order, Boundary Value and Integrals 10. Curve Fitting and Regression Analysis 11. Numerical Optimization Solutions to Selected Problems
About the Author :
Bilal M. Ayyub, Ph.D., PE, Dist.M.ASCE, Hon.M.ASME is an A. James Clark School of Engineering at the University of Maryland College Park Professor and Director of the Center for Technology and Systems Management, and a Visiting Professor at Imperial College London, UK. He was a visiting fellow at the National Security Analysis Department of the Applied Physics Laboratory in 2015-16. He was a chair professor at Tongji University, Shanghai, China (2016-18) and is currently the Co-Director of its International Joint Research Center for Resilient Infrastructure.
Richard H. McCuen, Ph.D., is an Emeritus Professor of Civil and Environmental Engineering at the University of Maryland. After 49 years (1971-2020) on the faculty at the University of Maryland, including 35 years as Director of the Engineering Honors Program, he retired as the Ben Dyer Professor of Civil & Environmental Engineering (1998-2020).
