Mohammad Heidarzadeh

This comprehensive new textbook bridges the gap between mathematical theory and practical engineering applications. Organized into eight chapters, it introduces programming skills in MATLAB and Python alongside essential mathematical concepts, progressing from basic computation and linear algebra to more advanced topics such as differential equations, Fourier series, and Laplace transforms. The book develops both mathematical reasoning and computational proficiency, equipping students with essential tools for modern engineering practice. It includes numerous MATLAB and Python scripts, presented within the text and available through a dedicated GitHub repository for hands-on learning and reproducibility. Each chapter concludes with problems—many with solutions—that reinforce understanding and encourage practical application. By integrating theory with coding exercises, the book ensures that students not only grasp key concepts but also gain the skills to apply them in real-world contexts. The book is intended for undergraduate engineering students in Civil, Mechanical, Electrical, and Chemical Engineering. It is particularly suited for modules in Engineering Mathematics, Programming, Computations, and Analytical Studies, and can also serve as a supplementary reference for postgraduate students seeking applied mathematical and computational skills. Instructors will find it a valuable teaching resource that integrates theory with practice, adaptable for both semester- and year-long courses. The GitHub repository can be accesses at https://github.com/prog871/CRC-book2025.

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.

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.