Although many books have been written about Mathematica, very few of them cover the new functionality added to the most recent versions of the program. This thoroughly revised second edition of Mathematica Beyond Mathematics: The Wolfram Language in the Real World introduces the new features using real-world examples based on the experience of the author as a consultant and Wolfram certified instructor. The examples strike a balance between relevance and difficulty in terms of Mathematica syntax, allowing readers to incrementally build up their Mathematica skills as they go through the chapters While reading this book, you will also learn more about the Wolfram Language and how to use it to solve a wide variety of problems.
The author raises questions from a wide range of topics and answers them by taking full advantage of Mathematica's latest features. For example: What sources of energy does the world really use? Are our cities getting warmer? Is the novel El Quixote written in Pi? Is it possible to reliably date the Earth using radioactive isotopes? How can we find planets outside our solar system? How can we model epidemics, earthquakes and other natural phenomena? What is the best way to compare organisms genetically?
This new edition introduces the new capabilities added to the latest version of Mathematica (version 13), and discusses new topics related to machine learning, big data, finance economics, and physics.
New to the Second Edition
• Separate sections containing carefully selected additional resources that can be accessed from either Mathematica or online
• Online Supplementary materials including code snippets used in the book and additional examples.
• Updated commands to take full advantage of Mathematica 13.
Author(s): José Guillermo Sánchez León
Edition: 2
Publisher: Chapman and Hall/CRC
Year: 2022
Language: English
Commentary: Publisher's PDF
Pages: 458
City: Boca Raton, FL
Tags: Machine Learning; Data Analysis; Neural Networks; Image Processing; Programming; Parallel Programming; Data Visualization; Finance; Application Development; Mathematics; CUDA; Wolfram Mathematica; Applied Mathematics; Physics; Epidemiology; Astronomy; Science Education; Science; Economics
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
