Computational Geosciences with Mathematica

ISBN-13: 9783642621574 / Angielski / Miękka / 2013 / 381 str.

William Haneberg

Opis

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.

Recenzje

From the reviews:

"Nearly every chapter of this book is built up around numerous examples of quantitative geological problem solving. Worked out problems include examples from geology, geomorphology, hydrology, geophysics and other geoscientific disciplines. Therefore, this book has, to my opinion, a large possible audience. Next to persons interested in using Mathematica, this book is useful to any geologist interested in some more information on quantitative geology. ... it should be accessible to motivated students and senior geologists interested or involved in mathematical geology." (Maarten Van Geet, Geological Belgica, Vol. 9 (3-4), 2006)

Spis treści

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)