Mathematical Methods in the Earth and Environmental Sciences

An introduction to the mathematical techniques relevant to the Earth and environmental sciences, including basic calculus, linear algebra and differential equations. It includes numerous exercises, problems and supplemental computer codes in Python and MATLAB®, allowing the reader to practise and develop their problem-solving skills in context.

The Earth and environmental sciences are becoming progressively more quantitative due to the increased use of mathematical models and new data analysis techniques. This accessible introduction presents an overview of the mathematical methods essential for understanding Earth processes, providing an invaluable resource for students and early career researchers who may have missed (or forgotten) the mathematics they need to succeed as scientists. Topics build gently from basic methods such as calculus to more advanced techniques including linear algebra and differential equations. The practical applications of the mathematical methods to a variety of topics are discussed, ranging from atmospheric science and oceanography to biogeochemistry and geophysics. Including over 530 exercises and end-of-chapter problems, as well as additional computer codes in Python and MATLAB®, this book supports readers in applying appropriate analytical or computational methods to solving real research questions.