Mathematical Geoscience

From the reviews: "Mathematical Geoscience covers many different topics related to the earth, oceans, and atmosphere, but one can see that they all belong to the very wide field of geophysical fluid dynamics. ... Each chapter contains a set of exercises. ... Mathematical Geoscience is not only an excellent textbook for an advanced course in mathematical modeling for geoscientists and applied mathematicians, but also an invaluable reference for researchers, as I found out by my own experience." (Jean-Claude Mareschal, Mathematical Geosciences, Vol. 44, 2012) "This book ... is to 'meet the current and future needs for the interaction between various science and technology areas on the one hand and mathematics on the other.' ... aimed at graduate students, lecturers, and researchers from fields ranging from applied mathematics to the environmental sciences and engineering. ... readers with a mathematical background who are interested in problems from the geosciences will most likely benefit the most. ... a long but wide-ranging and interesting mathematical coverage of many important topics in geoscience." (Neil Balmforth, SIAM Review, Vol. 54 (2), 2012) "This interdisciplinary applied mathematics text is concerned with applications of mathematical models to diverse problems in geophysical fluid dynamics, physics and environmental science that involve ordinary and partial differential equations. ... it can be used as a senior undergraduate or graduate level text in applied mathematics, physics, environmental and engineering sciences. It will definitely be useful for advanced study and research in applied mathematics, science and engineering. ... This will help stimulate further study and research by students and research professionals." (L. Debnath, Mathematical Reviews, Issue 2012 d) "A comprehensive overview of the application of mathematical models to problems in the environment ... . the book is truly amazing: topics range from climate modeling to magma transport, landscape evolution, the ocean, the atmosphere and a great deal more. ... This book is a lot of fun, even just to browse. ... The book is addressed to readers having some familiarity with differential equations and advanced calculus. ... The exercises are another strong feature of the book: they are creative, numerous and challenging." (William J. Satzer, The Mathematical Association of America, September, 2011)

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