Adrian BurdCambridge University Press, 4/30/2019EAN 9781107117488, ISBN10: 1107117488Hardcover, 596 pages, 25.4 x 19.3 x 3.2 cmLanguage: EnglishThe 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.Preface1. Estimation and dimensional analysis2. Derivatives and integrals3. Series and summations4. Scalars, vectors, and matrices5. Probability6. Ordinary differential equations7. Vectors and calculus8. Special functions9. Fourier series and integral transforms10. Partial differential equations11. TensorsAppendix A. Units and dimensionsAppendix B. Tables of useful formulaeAppendix C. Complex numbersNotesReferencesIndex.
