William G. Gray, Genetha A. GrayCambridge University Press, 12/28/2016EAN 9781107571693, ISBN10: 1107571693Paperback, 444 pages, 25.4 x 17.8 x 2 cmLanguage: EnglishThis textbook presents an understanding of how basic physical descriptions can be translated into mathematical analogues that provide an opportunity to investigate environmental processes. Examples come from a range of hydrologic, atmospheric, and geophysical problems. The emphasis is on simple examples and calculations that add to understanding. The book provides a sense for the meaning of mathematical expressions, a physical feel for their relations to processes, and confidence in working with mathematical solutions. The goal of this book, in essence, is to present the timeless basic physical and mathematical principles and philosophy of environmental modeling, often to students who need to be taught how to think in a different way than they would for more narrowly-defined engineering or physics problems. Minimum prerequisites for the student reader include a knowledge of calculus through differential equations, but the book provides the mathematical and physical tools needed as the occasion arises.1. Philosophy and approach2. Thoughts on use of data3. Models as a framework for study of data4. Length and time scales5. Mechanisms of change6. Dimensional analysis7. Mathematical instruments of change8. Derivatives and scales9. Integral theorems and volume kinematics10. Mass conservation11. Species mass conservation12. Statement of conservation of momentum13. Conservation of total energy14. Mixed scale modeling15. Porous media and groundwater systems16. Advection-dispersion equation solution17. Stability revisited.
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