Covering a wide range of mathematical methods essential for engineering, this book includes topics such as advanced calculus, differential equations, and numerical methods. It also explores applications in linear elasticity, harmonic motions, and chaos theory. Organized into 19 chapters, the first 14 focus on mathematical methods, while chapters 15-18 delve into numerical techniques, and chapter 19 addresses probability and statistics. It serves as a valuable resource for engineering mathematics, mathematical modeling, and scientific computing.
A concise introduction to the fundamental concepts of mathematics that are closely related to civil engineering. By using an informal and theorem-free approach with more than 150 step-by-step examples, all the key mathematical concepts and techniques are introduced.
Contemporary design in engineering and industry relies heavily on computer simulation and efficient algorithms to reduce the cost and to maximize the performance and sustainability as well as profits and energy efficiency. Solving an optimization problem correctly and efficiently requires not only the right choice of optimization algorithms and simulation methods, but also the proper implementation and insight into the problem of interest. This book consists of ten self-contained, detailed case studies of real-world optimization problems, selected from a wide range of applications and contributed from worldwide experts who are working in these exciting areas. Optimization topics and applications include gas and water supply networks, oil field production optimization, microwave engineering, aerodynamic shape design, environmental emergence modelling, structural engineering, waveform design for radar and communication systems, parameter estimation in laser experiment and measurement, engineering materials and network scheduling. These case studies have been solved using a wide range of optimization techniques, including particle swarm optimization, genetic algorithms, artificial bee colony, harmony search, adaptive error control, derivative-free pattern search, surrogate-based optimization, variable-fidelity modelling, as well as various other methods and approaches. This book is a practical guide to help graduates and researchers to carry out optimization for real-world applications. More advanced readers will also find it a helpful reference and aide memoire.
