Mathematics for Earth Science and Geography

This undergraduate textbook presents a unique comprehensive overview on Mathematics in Earth Sciences and Geography. It deals with fundamental theoretical and applied mathematics, needed by bachelor students in a wide range of subjects. The book is illustrated with many examples and over a hundred practical exercises, with solutions included in the book. In addition, this textbook highlights numerical resources by using two free software packages (R and Xcas) and introducing their use.

Autorentext

Prof. Cyril Fleurant obtained an undergraduate degree in applied geology from the University of Bordeaux and a Master's degree and a Ph.D on quantitative hydrology and hydrogeology from MinesParisTech (Paris) and University Pierre and Marie Curie (Paris). He held several teaching and research positions at the University of Nantes, Ecole des Mines de Nantes and AgroCampus Ouest. Since 2012 he holds a Full Professor position at the University of Angers (France) - Department of Geography. He has recently been elected dean of the Faculty of Literature, Languages and Human Sciences.

Prof. Fleurant's research is pluridisciplinary within the research group LETG - UMR CNRS 6554 and involves projects on geomorphology, hydrology and hydrogeology.

Sandrine Bodin-Fleurant obtained her Master s degree in fundamental mathematics from the University of Angers, France. She has taught mathematics for 15 years, mostly at university level (calculus, algebra, statistics, probability, computer science). Her (former) students include many Earth Science students.

Sandrine Bodin-Fleurant has also been for five years a regional school inspector in mathematics (with a strong emphasis on pedagogy and didactics). She worked regularly with earth science and geography teachers and inspectors and she has an excellent knowledge of the abilities and needs of both high school and undergraduate students.She is now deputy head inspector for the whole "Rhône" area.

She has published various documents at national level (about Fast Fourier Transform, the new probability curriculum at secondary school level and many others).

Inhalt

Introduction.- 1. Quantities and Measures.- 2. Variables and Functions.- 3. Trigonometry, Geometry of Plane and Space.- 4. Cartography.- 5. Derivation.- Integration and Differential Equations.