Computational Geosciences with Mathematica

Computational Geosciences with Mathematica

by William Haneberg

Paperback(Softcover reprint of the original 1st ed. 2004)

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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.

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Product Details

ISBN-13: 9783642621574
Publisher: Springer Berlin Heidelberg
Publication date: 04/19/2013
Edition description: Softcover reprint of the original 1st ed. 2004
Pages: 381
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

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)

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