Название: Fundamentals of Computational Methods for Engineers
Автор: Md. Masud Rana, Wei Xu
Издательство: Bentham Books
Год: 2022
Страниц: 270
Язык: английский
Формат: pdf (true)
Размер: 16.2 MB

This textbook bridges the gap between introductory and advanced numerical methods for engineering students. The book initially introduces readers to numerical methods before progressing to linear and nonlinear equations. Next, the book covers the topics of interpolation, curve fitting and approximation, integration, differentiation and differential equations. The book concludes with a chapter on advanced mathematical analysis which explains methods for finite difference, method of moments and finite elements.

During the pre-computer era, scientists and engineers generally use three different ways for solving mathematical problems: (i) analytical or exact methods, (ii) graphical technique, and (iii) manual calculations. As a result, a significant amount of energy is required on the solution technique rather than on problem definition and interpretation. Today, computational methods and digital computers provide an alternative for such complicated solutions. Computational methods use a number to simulate the mathematical processes, which in turn usually simulate real world situations. There are also several reasons to study the computational methods.

(i) To solve problems that cannot be solved analytically and exactly.
(ii) To solve problems that are intractable.
(iii) To reduce the number of prototypes constructed.

The book introduces readers to key concepts in engineering such as error analysis, algorithms, applied mathematics with the goal of giving an understanding of how to solve engineering problems using computational methods. Each of the featured topics is explained with sufficient detail while retaining the usual introductory nuance. This blend of beginner-friendly and applied information, along with reference listings makes the textbook useful to students of undergraduate and introductory graduate courses in mathematics and engineering.