Editors: Md. Masud Rana, Wei Xu, Youguang Guo

Fundamentals of Computational Methods for Engineers

eBook: US $59 Special Offer (PDF + Printed Copy): US $108
Printed Copy: US $78
Library License: US $236
ISBN: 978-981-5039-06-1 (Print)
ISBN: 978-981-5039-05-4 (Online)
Year of Publication: 2022
DOI: 10.2174/97898150390541220101

Introduction

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.

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.

Audience: Students of mathematics and engineering; Apprentices and trainees in engineering firms; Engineering faculty at school and college levels.

Preface

- Pp. i-ii (2)
Masud Rana, Wei Xu, Youguang Guo
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List of Contributors

- Pp. iii

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Introduction of Computational Methods

- Pp. 1-10 (10)
Masud Rana*, Wei Xu, Youguang Guo

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Computational Solution of Nonlinear Equations

- Pp. 11-34 (24)
Masud Rana*, Wei Xu, Youguang Guo

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Computational Solution of Linear System Equations

- Pp. 35-64 (30)
Masud Rana*, Wei Xu, Youguang Guo

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Interpolation, Curve Fitting, and Approximation

- Pp. 65-102 (38)
Tanvir Ahmed*, Masud Rana

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Introduction of Numerical Differentiation and Integration

- Pp. 103-172 (70)
Rashidul Islam*, Shamim Anower, Mahabubur Rahman

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Numerical Solution of Ordinary Differential Equation

- Pp. 173-220 (48)
Shamim Anower*, Rashidul Islam, Mahabubur Rahman

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Introduction of Advanced Computational Methods

- Pp. 221-252 (32)
Masud Rana*, Wei Xu, Youguang Guo

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Subject Index

- Pp. 253-258 (6)

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