R Student Companion

ISBN-10: 1439875405
ISBN-13: 9781439875407
Edition: 2012
Authors: Brian Dennis
List price: $28.99 Buy it from $22.47
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Description: This student-oriented manual describes how to use R in college science and mathematics courses. The manual features fully developed exercises based around the main precalculus analysis skills needed in the standard college general education courses  More...

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Book details

List price: $28.99
Copyright year: 2012
Publisher: Taylor & Francis Group
Publication date: 9/24/2012
Binding: Paperback
Pages: 360
Size: 6.00" wide x 9.25" long x 0.75" tall
Weight: 1.100
Language: English

This student-oriented manual describes how to use R in college science and mathematics courses. The manual features fully developed exercises based around the main precalculus analysis skills needed in the standard college general education courses in science and math. The exercises illustrate a wide variety of applications and subjects. The author presents applications drawn from all sciences and social sciences and includes the most often used features of R on a reference card in the back of the book. In addition, each chapter provides a set of computational challenges: exercises in R calculations that are designed to be performed alone or in groups.

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

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