William Haneberg

Computational Geosciences with Mathematica (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 381
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642185540
• Artikelnr.: 53157948

Autorenporträt

William C. Haneberg, Haneberg Geoscience, Port Orchard, WA, USA

Inhaltsangabe

1 Introduction to Mathematica.- 1.1 What is Mathematica.- 1.2 Getting Help.- 1.3 Installing and Running Mathematica.- 1.4 How the Bookis Organized.- 1.5 A Brief Tour of Mathematica.- 1.6 References and Recommended Reading.- 2 Special Plots for Geoscience Data.- 2.1 Mathematica Packages You Will Need.- 2.2 Overview.- 2.3 Stem Plots.- 2.4 Rose Plots.- 2.5 Ternary Plots.- 2.6 Stereographic Projections.- 2.7 Equal Area Projections.- 2.8 Box and Whisker Plots.- 2.9 Well Logs.- 2.10 References and Recommended Reading.- 3 Manipulating and Solving Equations.- 3.1 Mathematica Packages You Will Need.- 3.2 Basic Symbolic Manipulation.- 3.3 Matrix and Vector Operations.- 3.4 Linear Equation Solving.- 3.5 Ordinary Differential Equations.- 3.6 Partial Differential Equations.- 3.7 References and Recommended Reading.- Random Variables and Univariate Probability Distributions.- 4.1 Mathematica Packages You Will Need.- 4.2 The Concept of Random Variables.- 4.3 Some Continuous Distributions.- 4.4 Some Discrete Distributions.- 4.5 Relating Distributions to Data: Method of Moments.- 4.6 Parametric Hypothesis Testing: t and F tests.- 4.7 Nonparametric Hypothesis Testing: K-S Tests.- 4.8 Generating Random Numbers from Probability Distributions.- 4.9 Care and Feeding of the Random Number Generator.- 4.10 Illustrating the Central Limit Theorem.- 4.11 The Pitfalls of Undersampling.- 4.12 References and Recommended Reading.- Probabilistic Simulation.- 5.1 Mathematica Packages You Will Need.- 5.2 Flood Frequency Modeling.- 5.3 Didn't We Just Have a 100 Year Flood?.- 5.4 Monte Carlo Simulation of a Wetting Front.- 5.5 Monte Carlo Analysis of Infinite Slope Stability.- 5.6 Apparent Clast Size Distributions: The Outcrop Effect.- Interpolation and Regression.- 6.1 Mathematica Packages You WillNeed.- 6.2 Interpolation or Regression: Which is Appropriate?.- 6.3 Interpolation.- 6.4 Linear Regression.- 6.5 Nonlinear Regression.- 6.6 References and Recommended Reading.- Visualizing and Analyzing Surfaces.- 7.1 Mathematica Packages You Will Need.- 7.2 Gridded Data.- 7.3 Irregularly Spaced Data.- 7.4 Trend Surface Mapping.- 7.5 References and Recommended Reading.- 8 Digital Signal and Image Processing.- 8.1 Mathematica Packages You Will Need.- 8.2 The Nature of Periodic Waveforms.- 8.3 Discrete Fourier Tranforms.- 8.4 Autocovariance and Autocorrelation.- 8.5 Filters and Convolution.- 8.6 Image Processing.- 8.7 Recommended Reading.- Appendix A Mathematica Functions in the Computational Geoscience Package.- A.1 Introduction.- A.2 Plotting and Calculations.- A.3 Color Functions.- Appendix B Working with Color.- B.5.1 Hue, Saturation, and Brightness.- B.5.2 Red, Green, and Blue (RGB).- B.5.3 Cyan, Magenta, Yellow, and Black (CMYK).- B.5.4 Other Color Systems.- B.6 Using Color in Plots and Graphics.- B.6.1 Plot and ListPlot.- B.6.2 Contour and Density Plots.- B.6.3 Surface Plots and Graphics.- B.6.4 Graphics3D.

Rezensionen

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)