Mathematica Beyond Mathematics. The Wolfram Language in the Real World

Cover
Half Title
Title Page
Copyright Page
Contents
Preface
1. Getting Started
	1.1. Mathematica, an Integrated Technical Computing System
	1.2. First Steps
	1.3. Editing Notebooks
	1.4. Basic Ideas
	1.5. From Graphics to Machine Learning
	1.6. Additional Resources and Supplementary Materials
2. Programming: The Beauty and Power of the Wolfram Language
	2.1. Mathematica’s Programming Language: The Wolfram Language
	2.2. Lists Operations
	2.3. Association and Dataset
	2.4. Matrix Operations
	2.5. Set, SetDelayed, and Dynamic Variables
	2.6. Functional vs. Procedural Programming
	2.7. Apply, Map, and Other Related Functions
	2.8. Iterative Functions
	2.9. Pure Functions
	2.10. Global and Local Variables
	2.11. Conditional Expressions and Conditions
	2.12. Accuracy and Precision
	2.13. Choosing the Method of Computation
	2.14. Optimizing the Computation Time
	2.15. Cloud Deployment
	2.16. Package Development
	2.17. Additional Resources
3. Interactive Applications, Image Processing, and More
	3.1. The Manipulate Function
	3.2. Creating Demonstrations
	3.3. Image Processing
	3.4. Image Manipulation
	3.5. Graphs and Networks
	3.6. Application: Finding the Period of a Pendulum
	3.7. Additional Resources
4. Accessing Scientific and Technical Information
	4.1. The Wolfram Data Framework: Introducing Entities
	4.2. Computable Data Functions
	4.3. The Wolfram Data Repository
	4.4. Weather Data in Real Time
	4.5. Chemical and Physical Properties of Elements and Compounds
	4.6. Life Sciences and Medicine
	4.7. Earth Sciences and Geographic Data
	4.8. Additional Resources
5. Data Analysis and Manipulation
	5.1. Importing/Exporting
	5.2. Statistical Analysis
	5.3. Probability Distributions
	5.4. Exploratory Data Analysis
	5.5. Bootstrapping and Confidence Estimates
	5.6. Curve Fitting
	5.7. Time Series Analysis
	5.8. Spatial Statistics
	5.9. Additional Resources
6. Machine Learning and Neural Networks
	6.1. What is Machine Learning
	6.2. Classification
	6.3. Prediction
	6.4. Working with Neural Networks
	6.5. Additional Resources
7. Calculating π and Other Mathematical Tales
	7.1. The Origins of π
	7.2. Archimedes’ Approximation
	7.3 π with More Than One Billion Decimals
	7.4. Buffon’s Method
	7.5. Application: Are the Decimal Digits of π Random?
	7.6. The Strange Connection
	7.7. The Riemann Hypothesis
	7.8. Looking for the Magic Prime Formula
	7.9. Additional Resources
8. Looking at the Sky
	8.1. A Short Astronomical Walk
	8.2. Solar Analemma
	8.3. Stargazing
	8.4. Application: Determining the Color of the Stars
	8.5. The Measurement of Distances Across the Universe
	8.6. Application: Binary Systems and the Search for Exoplanets
	8.7. Light Curves
	8.8. Additional Resources
9. Nuclei and Radiations
	9.1. Nuclear and Particle Physics
	9.2. What are Isotopes?
	9.3. Decay Constants, Decay Periods and Half-Lives
	9.4. Decay Chains
	9.5. Application: Modeling the Evolution of a Chain of Isotopes Over Time
	9.6. Application: Dating the History of Humankind
	9.7. Application: Calculating Binding Energies
	9.8. Radiation Attenuation
	9.9. Additional Resources
10. Modeling: Applications in Biokinetics, Epidemiology and More
	10.1. Compartmental Modeling
	10.2. Epidemiological Models
	10.3. Physiological Modeling
	10.4. Fitting a Model
	10.5. Optimal Experimental Designs (OED)
	10.6. BIOKMOD: The New Iodine OIR Model (ICRP 137)
	10.7. Additional Modeling Examples
	10.8. Modeling Using PDEs
	10.9. System Modeler
	10.10. Additional Resources
11. Economic, Financial and Optimization Applications
	11.1. Accessing Economic Information
	11.2. Financial Information
	11.3. Financial Functions
	11.4. Optimization
	11.5. The Shortest Path Problem
	11.6. Optimum Flows
	11.7. Blockchains
	11.8. Additional Resources
12. Faster, Further
	12.1. Parallel Computing
	12.2. Parallel Programming
	12.3. The Mandelbrot Set
	12.4. Comparing Organisms Genetically
	12.5. Software Development with Wolfram Workbench
	12.6. Compute Unified Device Architecture (CUDA)
	12.7. Connecting with Other Programs and Devices
	12.8. Additional Resources
Index