Chapter 1: Introduction. What is Mathematica? Installing and Running Mathematica --; Chapter 2: Special Plots for Geologic Data. Mathematica Packages You Will Need. Stem Plots --; Chapter 3: Solving Linear and Differential Equations. Algebraic Manipulation of Equations. Symbolic and Numerical Equation Solving Using Solve and Nsolve --; Chapter 4: Random Variables and Probability Distributions. The Concept of Random Variables. Some Continuous Distributions --; Chapter 5: Probabilistic Simulation. Flood Frequency Modeling. Plotting the Data --; Chapter 6: Interpolation and Regression. Interpolation vs. Regression: Which is Appropriate?- Chapter 7: Visualizing and Analyzing Surfaces. Working With Gridded Data. Digital Elevation Models --; Chapter 8: Digital Signal and Image Processing. The Nature of Periodic Waveforms. Autocovariance and Autocorrelation --; Appendix A: Mathematica Functions in the Computational Geology Package --; Appendix B: Labeling Contour Plots --; Appendix C: Working with Color (CD only).
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. It spans 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 output and includes boxed Computer Notes with tips and exploration suggestions.