Mathematical Geoscience

This book offers a comprehensive reference to the mathematical modeling of environmental and geophysical problems. It provides an abundance of mathematical models, both simple and complex, and elaborates them with approximation techniques.

Mathematical Geoscience is an expository textbook which aims to provide a comprehensive overview of a number of different subjects within the Earth and environmental sciences. Uniquely, it treats its subjects from the perspective of mathematical modelling with a level of sophistication that is appropriate to their proper investigation. The material ranges from the introductory level, where it can be used in undergraduate or graduate courses, to research questions of current interest. The chapters end with notes and references, which provide an entry point into the literature, as well as allowing discursive pointers to further research avenues.

The introductory chapter provides a condensed synopsis of applied mathematical techniques of analysis, as used in modern applied mathematical modelling. There follows a succession of chapters on climate, ocean and atmosphere dynamics, rivers, dunes, landscape formation, groundwater flow, mantle convection, magma transport, glaciers and ice sheets, and sub-glacial floods.

This book introduces a whole range of important geoscientific topics in one single volume and serves as an entry point for a rapidly expanding area of genuine interdisciplinary research. By addressing the interplay between mathematics and the real world, this book will appeal to graduate students, lecturers and researchers in the fields of applied mathematics, the environmental sciences and engineering.

Offers a comprehensive reference to the mathematical modelling of environmental and geophysical problems, where the physical model is treated as seriously as the mathematical analysis Provides an abundance of mathematical models, both simple and complex, and elaborates them with approximation techniques. These are of particular use to engineers and environmental scientists Includes plenty of examples, exercises and references Includes supplementary material: sn.pub/extras

Contenu
Mathematical Modelling.- Climate Dynamics.- Oceans and Atmospheres.- River Flow.- Dunes.- Landscape Evolution.- Groundwater Flow.- Mantle Convection.- Magma Transport.- Glaciers and Ice Sheets.- Jökulhlaups.- Appendices