Computational Geosciences with Mathematica is the only book written by a geologist specifically to show geologists and geoscientists how to use Mathematica to formulate and solve problems. Its topics span a broad range of geologic and mathematical topics, which are drawn from the author's extensive experience in research, consulting, and teaching. The reference and text leads readers step-by-step through geologic applications such as custom graphics programming, data input and output, linear and differential equations, linear and nonlinear regression, Monte Carlo simulation, time series and image analysis, and the visualization and analysis of geologic surfaces. It is packed with actual Mathematica ouput and includes boxed Computer Notes with tips and exploration suggestions. The accompanying CD-ROM contains notebooks of all text and graphics, plus an appendix on color graphics and specialized functions.

Chapter 1: IntroductionWhat is Mathematica?Installing and Running MathematicaChapter 2: Special Plots for Geologic DataMathematica Packages You Will NeedStem PlotsChapter 3: Solving Linear and Differential EquationsAlgebraic Manipulation of EquationsSymbolic and Numerical Equation Solving using Solve and NSolveChapter 4: Random Variables and Probability DistributionsThe Concept of Random VariablesSome Continuous DistributionsChapter 5: Probabilistic SimulationFlood Frequency ModelingPlotting the DataChapter 6: Interpolation and RegressionInterpolation vs. Regression: Which is Appropriate?Chapter 7: Visualizing and Analyzing SurfacesWorking With Gridded DataDigital Elevation ModelsChapter 8: Digital Signal and Image ProcessingThe Nature of Periodic WaveformsAutocovariance and AutocorrelationAppendix A: Mathematica Functions in the Computational Geology PackageAppendix B: Labeling Contour PlotsAppendix C: Working with Color (CD only)