Mathematica Beyond Mathematics by León, José Guillermo Sánchez -- Read -- Imperial Library of Trantor

Index

Cover Half Title Title Page Copyright Page Table of Contents Preface 1. Getting Started

1.1 Mathematica, an Integrated Technical Computing System 1.2 First Steps 1.3 The Help System 1.4 Basic Ideas 1.5 Computational Capabilities 1.6 Utilities 1.7 Editing Notebooks 1.8 Sharing Notebooks 1.9 The Wolfram Cloud 1.10 Additional Resources

2. Data Analysis and Manipulation

2.1 Lists 2.2 Importing/Exporting 2.3 Descriptive Statistics 2.4 Application: Analysis of the Evolution of Two Cell Populations 2.5 Application: Global Energy Consumption Analysis 2.6 Database Access with Open Database Connectivity (ODBC) 2.7 Additional Resources

3. Programming: The Beauty and Power of the Wolfram Language

3.1 Mathematica’s Programming Language: The Wolfram Language 3.2 Functional vs. Procedural Programming 3.3 Set vs. SetDelayed 3.4 Matrices and Lists Operations 3.5 How Mathematica Works Internally 3.6 Apply, Map and Other Related Functions 3.7 Iterative Functions 3.8 Pure Functions 3.9 Global and Local Variables 3.10 Conditional Expressions 3.11 Accuracy and Precision 3.12 Choosing the Method of Computation 3.13 Optimizing the Computation Time 3.14 Cloud Deployment 3.15 Package Development 3.16 Advanced Programming Tools 3.17 Additional Resources

4. Interactive Applications, Image Processing, and More

4.1 Manipulate 4.2 Creating Demonstrations 4.3 Image Processing 4.4 Graphs and Networks 4.5 Mazes 4.6 Application: Finding the Period of a Pendulum 4.7 Advanced Calculus 4.8 Additional Resources

5. Accessing Scientific and Technical Information

5.1 Computable Data: Doing Computations with Data from Different Fields 5.2 Astronomy 5.3 Nuclear and Particle Physics 5.4 Engineering 5.5 Chemical and Physical Properties of Elements and Compounds 5.6 Genomics and Proteomics 5.7 Meteorology 5.8 Combining Data and Graphics 5.9 Geodata 5.10 Some Recommendations 5.11 Additional Resources

6. Probability and Statistics

6.1 The Latest Features 6.2 Statistics Data 6.3 Probability Distributions 6.4 Application: Fitting Experimental Data 6.5 Time Series Analysis 6.6 Cluster Analysis 6.7 Stochastic Processes 6.8 Reliability and Survival Analysis 6.9 R Integration with RLink 6.10 Application: Predicting Outputs Using Machine Learning Methods 6.11 Application: Development of a Package for Quality Control 6.12 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 Additional Resources

8. Looking at the Sky

8.1 A Short Astronomical Walk 8.2 Stargazing 8.3 Application: Determining the Color of the Stars 8.4 The Measurement of Distances Across the Universe 8.5 Application: Binary Systems and the Search for Extrasolar Planets 8.6 Light Curves 8.7 Additional Resources

9. Nuclei and Radiations

9.1 What are Isotopes? 9.2 Decay Constants, Decay Periods and Half-Lives 9.3 Decay Chains 9.4 Application: Modeling the Evolution of a Chain of Isotopes Over Time 9.5 Application: Dating the History of Humankind 9.6 Application: Calculating Binding Energies 9.7 Additional Resources

10. Modeling: Applications in Biokinetics

10.1 Compartmental and Physiological Modeling 10.2 Application: Fitting a Model 10.3 Optimal Experimental Designs (OED) 10.4 Biokmod: Applications to ICRP Models 10.5 Radiation Attenuation 10.6 Additional Resources

11. Economic and Financial Applications

11.1 Financial Information 11.2 Financial Functions 11.3 Optimization 11.4 The Shortest Path Problem 11.5 Optimum Flows 11.6 Additional Resources

12. Faster, Further

12.1 Parallel Computing 12.2 Parallel Programming 12.3 Application: The Mandelbrot Set 12.4 Application: Comparing Organisms Genetically 12.5 Grid Computing with Wolfram Lightweight Grid Manager (WLGM) 12.6 Compute Unified Device Architecture (CUDA) 12.7 Mathematica for the Web: webMathematica 12.8 Software Development with Wolfram Workbench 12.9 New Applications and Functionality Integrated in Mathematica 12.10 Additional Resources

Index