Table of Contents

1. Philosophy and approach; 2. Thoughts on use of data; 3. Models as a framework for study of data; 4. Length and time scales; 5. Mechanisms of change; 6. Dimensional analysis; 7. Mathematical instruments of change; 8. Derivatives and scales; 9. Integral theorems and volume kinematics; 10. Mass conservation; 11. Species mass conservation; 12. Statement of conservation of momentum; 13. Conservation of total energy; 14. Mixed scale modeling; 15. Porous media and groundwater systems; 16. Advection-dispersion equation solution; 17. Stability revisited.

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This textbook presents the timeless basic physical and mathematical principles and philosophy of environmental modeling.

Reviews

'The approach by Gray and Gray is delightful - [this book] is strongly sequential, deeply thoughtful and thought-provoking, personally and profoundly reflective, and as significant as it is welcome.' Bryan Karney, University of Toronto

'This is a remarkably clear and refreshingly attractive development of foundational educational materials required for all students in environmental science and engineering. This textbook provides a thorough development of key principles that is extremely well organized and builds logically: will be greatly appreciated by student and educator alike.' Marc B. Parlange, University of British Columbia

'Written by passionate educators, this book fosters a critical approach to environmental modeling, introducing the principles underlying all environmental models. A book for upper level undergraduates or graduate students who wish to become thinking modelers and not just modeling doers. Also rewarding reading for experienced modelers who should pause, read this book, and reflect on what they are doing.' Philip Binning, Technical University of Denmark

'This beautifully produced and clear text provides a vital bridge between conventional physical science treatments of applied mathematics and the more creative approach necessary to model environmental systems.' Jon French, University College London