Mathematica Beyond Mathematics. The Wolfram Language in the Real World

Description

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