Mathematical modelling for Earth sciences / Математическое моделирование в науках о Земле

Mathematical modelling and computer simulations are an essential part of the analytical skills for earth scientists. Nowadays, computer simulations based on mathematical models are routinely used to study various geophysical, environmental and geological processes, from geophysics to petroleum engineering, from hydrology to environmental fluid dynamics. The topics in earth sciences are very diverse and the syllabus itself is evolving. From a mathematical modelling point of view, therefore, this is a decision to select topics and limit the number of chapters so that the book remains concise and yet comprehensive enough to include important and interesting topics and popular algorithms. Furthermore, we use a ‘theorem-free’ approach in this book with a balance of formality and practicality. We will increase dozens of worked examples so as to tackle each problem in a step-by-step manner, thus the style will be especially suitable for non-mathematicians, though there are enough topics, such as the calculus of variation and pattern formation, that even mathematicians may find them interesting. <...>