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| Preface | |
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| Author | |
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| Introduction: Getting Started with R | |
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| R Tutorial | |
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| Vectors | |
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| Graphs | |
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| Real-World Example | |
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| Final Remarks | |
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| Computational Challenges | |
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| References | |
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| R Scripts | |
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| Creating and Saving an R Script | |
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| Running an R Script | |
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| Finding Errors in an R Script | |
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| Sharpening Up Your Scripts with Comments | |
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| Real-World Example | |
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| Final Remarks | |
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| Computational Challenges | |
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| Reference | |
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| Functions | |
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| Creating New Functions in R | |
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| More about User-Defined R Functions | |
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| Real-World Example | |
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| Final Remarks | |
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| Computational Challenges | |
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| Afternotes | |
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| References | |
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| Basic Graphs | |
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| Real-World Example | |
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| Graphs of One Variable | |
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| Stripchart | |
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| Histogram | |
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| Stem-and-Leaf Plot | |
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| Boxplot | |
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| Timeplot | |
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| Graphs of Two Variables | |
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| Scatterplot | |
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| Side-by-Side Boxplots | |
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| Bar Graphs and Pie Charts | |
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| Bar Graphs and Pie Charts Using Data | |
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| Final Remarks | |
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| Computational Challenges | |
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| Afternotes | |
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| Data Input and Output | |
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| Data Frames in R | |
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| Final Remarks | |
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| Computational Challenges | |
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| Afternotes | |
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| Loops | |
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| Writing a "For-Loop" | |
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| Checking the Loop | |
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| OK, Mr. Fibonacci…So What? | |
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| Real-World Example | |
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| Final Remarks | |
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| Computational Challenges | |
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| References | |
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| Logic and Control | |
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| Logical Comparison Operators and Logical Vectors | |
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| Boolean Operations | |
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| Missing Data | |
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| More about Indexes | |
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| Conditional Statements | |
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| Real-World Example | |
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| Final Remarks | |
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| Computational Challenges | |
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| Afternotes | |
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| Reference | |
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| Quadratic Functions | |
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| Real-World Example | |
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| Final Remarks | |
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| Computational Challenges | |
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| References | |
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| Trigonometric Functions | |
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| Right Triangles | |
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| Trigonometric Functions | |
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| Right Triangles, Circles, and Radians | |
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| Properties of Trigonometric Functions | |
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| Polar Coordinates | |
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| Real-World Examples | |
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| Distances to Stars Near the Solar System | |
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| Projectile Motion | |
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| Planetary Orbits | |
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| Final Remarks | |
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| Computational Challenges | |
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| Afternotes | |
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| Exponential and Logarithmic Functions | |
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| Achieving Real Power | |
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| The Special Number | |
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| The Number e in Applications | |
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| The Exponential Function | |
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| Exponential Growth | |
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| Logarithmic Functions | |
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| Logarithmic Scales | |
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| Richter Scale | |
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| The pH Scale | |
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| Star Magnitude | |
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| Real-World Examples | |
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| Radioactive Decay | |
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| Limit to Population Growth | |
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| Peak Oil | |
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| Final Remarks | |
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| Computational and Algebraic Challenges | |
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| References | |
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| Matrix Arithmetic | |
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| Another Way to Multiply Vectors | |
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| Matrix Multiplication | |
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| Matrix Addition and Subtraction | |
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| Reading a Data File into a Matrix | |
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| Real-World Example | |
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| Final Remarks | |
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| Computational Challenges | |
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| Afternote | |
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| References | |
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| Systems of Linear Equations | |
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| Matrix Representation | |
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| Matrix Inverse | |
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| Inverse Matrices and System Solutions in R | |
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| Real-World Examples | |
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| Old Faithful | |
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| A Galaxy Not So Far Away | |
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| Final Remarks | |
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| Computational Challenges | |
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| Afternotes | |
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| References | |
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| Advanced Graphs | |
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| Two-Dimensional Plots | |
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| Options for Styles of Symbols, Lines, Axes | |
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| Data Symbol Types | |
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| Connecting Line Types | |
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| Plot Types | |
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| Axis Limits | |
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| Tic Marks | |
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| Axis Labels | |
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| Suppressing Axes | |
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| Sizes of Symbols, Labels, Widths of Lines, Axes | |
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| Other Customizations | |
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| Adding Points | |
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| Adding Lines | |
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| Adding Text | |
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| Titles and Subtitles | |
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| Legends | |
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| New Graph Windows | |
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| Global and Local | |
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| Multiple Panels | |
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| Scatterplot Matrices | |
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| Three-Dimensional Plots | |
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| Color | |
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| Final Remarks | |
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| Computational Challenges | |
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| Reference | |
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| Probability and Simulation | |
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| Random Variables | |
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| Probability | |
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| Probability Distributions of Counts | |
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| Binomial Distribution | |
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| Probability Distributions of Measurements | |
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| Uniform Distribution | |
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| Normal Distribution | |
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| Real-World Example | |
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| Computational Challenges | |
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| Afternotes | |
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| References | |
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| Fitting Models to Data | |
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| Fitting a Quadratic Model | |
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| Multiple Predictor Variables | |
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| Nonlinear Statistical Models | |
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| Final Remarks | |
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| Computational Challenges | |
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| Afternotes | |
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| References | |
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| Conclusion-It Doesn't Take a Rocket Scientist | |
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| Real Solar System Example | |
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| The Problem | |
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| The Concept | |
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| Changes in Velocities | |
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| Move the Earth | |
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| Getting Organized | |
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| Outline of R Script for Calculating the Trajectory of Earth | |
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| The R Script | |
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| Computational Challenges | |
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| Afternotes | |
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| Calculus and Conic Sections | |
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| Feynman's Lost Lecture | |
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| Three-Body Problem | |
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| Neptune | |
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| Propagation of Error | |
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| Apophis | |
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| Orbit of Pluto Is Chaos | |
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| The ms Cancel | |
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| Mercury Orbit Precession, and General Relativity | |
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| Measurement Units | |
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| References | |
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| Installing R | |
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| Getting Help | |
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| Common R Expressions | |
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| Index | |