A Practical Approach to Advanced Mathematical Modelling in Civil Engineering introduces advanced mathematical techniques and modelling concepts through real-world practical applications in key areas of Civil Engineering. It fills a crucial gap in the existing literature by using examples from structural analysis, coastal processes, and soil behaviour.
The authors approach to teaching has been developed over years of experience and aims to engage readers by demonstrating the universal utility of mathematical methods in solving engineering challenges. The chapters are designed around engineering subject areas such as structural, transportation, and geotechnical engineering. A focus on engineering rather than mathematical concepts helps students of engineering to concentrate on real-world applications and prescribe available mathematical techniques to each, as well as being useful for expanding the knowledge of already practicing engineers. The appendix backs this learning up with basic engineering mathematics, providing a comprehensive resource for all levels from undergraduate and graduate engineering students. Those already familiar with the basics can turn to the appendix at a later date to revisit their knowledge.
The book will also be accompanied by a companion website hosting downloadable ready-to-use computer programs and code addressing real-world engineering problems, designed in the popular programming environment MATLAB. For those who are unfamiliar with the program, Appendix B provides a useful introduction to MATLAB. These codes are referred to throughout the book and are available for readers to download and use themselves.
Introduces advanced mathematical techniques and modelling concepts through real-world practical applications in key areas of Civil Engineering.
List of Figures
1: Mathematical Modelling
2: Structural Engineering
3: Geotechnical Engineering
4: Coastal Engineering
5: Water and Environmental Engineering
6: Transportation Engineering
Appendix A: Selected Topics in Engineering Mathematics
Appendix B: An Introduction to MATLAB
Index
Dr Mohammad Heidarzadeh is an Associate Professor of Civil Engineering at University of Bath, specialising in Coastal and Hydraulic Engineering. His research activities are focused on enhancing coastal resilience against natural hazards such as storms, tsunamis, landslides, and earthquakes.
Dr Theodosios Papathanasiou is a researcher in the fields of computational mathematics and mechanics. He is senior lecturer in structural engineering and director of civil engineering programmes at Aston University Birmingham.
Dr Yurui Fan is a Senior Lecturer in Flood and Coastal Engineering in the Department of Civil and Environmental Engineering at Brunel University London. His research primarily focuses on water and environmental systems analysis, risk analysis of compound extreme events, artificial intelligence applications in civil engineering, and climate change adaptation.
Professor Hamid Bahai is a Professor of Computational Mechanics at Brunel University London. His many theoretical and applied contributions to mathematical modelling over the past 30 years include the development of new type of non-linear shell finite elements and a novel inverse eigenvalue formulation for optimising the vibratory behaviour of structures.
