Mathematica Data Visualization电子书

Mathematica Data Visualization

Table of Contents

Mathematica Data Visualization

Credits

About the Author

About the Reviewers

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Preface

What this book covers

What you need for this book

Who this book is for

Conventions

Reader feedback

Customer support

Downloading the example code

Downloading the color images of this book

Errata

Piracy

Questions

1. Visualization as a Tool to Understand Data

The importance of visualization

Types of datasets

Tables

Scalar fields

Time series

Graphs

Text

Cartographic data

Mathematica as a tool for visualization

Getting started with Mathematica

Creating and selecting cells

Evaluating a cell

Suppressing output from a cell

Cell formatting

Commenting

Aborting evaluation

Upcoming chapters

Further reading

Summary

2. Dissecting Data Using Mathematica

Data structures and core languages

Introducing lists

Nested lists

Matrices

Constructing lists programmatically

Table entries with multiple elements

Accessing elements from a list

Applying set operations on lists

Functions and conditionals

Declaring and using functions

Conditionals

Further core language

Data importing and basic plots

Importing data into Mathematica

SetDirectory[] and NotebookDirectory[]

Loading the dataset

Basic plotting functions

ListPlot

Styling our plots

Plot legends

3D point plots

Log plots

Further reading

Summary

3. Time Series and Scientific Visualization

Periodic patterns in time series

Sector charts

Simulating Internet activity

SectorChart and its options

Interactive visualization of financial data

The DateListPlot function

Adding interactivity – preliminaries

Intermission – Graphics and Show

Adding interactivity – Dynamic and Refresh

Isocontour and molecular visualization

Introduction to isocontours

Example project – protein molecule visualization

Loading and visualizing the protein molecule

Preparing the isocontour plots

Adding interactivity – manipulate

Isosurface and styling

Thinking like a visualization scientist – isovalue analysis

Further reading

Summary

4. Statistical and Information Visualization

Statistical visualization

The swiss bank notes dataset

Histograms and charts

Histogram

PairedHistogram

Histogram3D

PieChart

BubbleChart

Choosing appropriate plots

A glimpse of high-dimensional data

Similarity maps

Projecting information to low dimensions

Visualizing genuine and counterfeit clusters

Similarity map for smaller datasets

Things that can (and will) go wrong

Employing the wrong distance metric

Choosing a misleading color map

Text visualization

A modified word cloud

Cleaning the data

The basic algorithm

Code and explanation

Graphs and networks

A basic graph visualization

Representing graphs in Mathematica

Visualizing the Les Misérables network

Highlighting centrality measures

Other graph layouts

3D layouts

Chord diagrams

Code and explanation

Tweaking the visualization

Further reading

Summary

5. Maps and Aesthetics

Map visualization

The GeoGraphics package

A map of our current location

Plotting a path on the map

Interactivity in GeoGraphics

Anatomy of a map visualization engine

The visual interface

Code and explanation

Aesthetics in visualization

Choosing the right color map

The rainbow color map is misleading

Understanding hue and luminance

Some better color maps

Designing the right interface

Deploying Mathematica visualizations

Looking forward

Further reading

Summary

Index