1.1 Mathematica, an Integrated Technical Computing System
1.5 Computational Capabilities
2. Data Analysis and Manipulation
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)
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
3.4 Matrices and Lists Operations
3.5 How Mathematica Works Internally
3.6 Apply, Map and Other Related Functions
3.9 Global and Local Variables
3.12 Choosing the Method of Computation
3.13 Optimizing the Computation Time
3.16 Advanced Programming Tools
4. Interactive Applications, Image Processing, and More
4.6 Application: Finding the Period of a Pendulum
5. Accessing Scientific and Technical Information
5.1 Computable Data: Doing Computations with Data from Different Fields
5.3 Nuclear and Particle Physics
5.5 Chemical and Physical Properties of Elements and Compounds
5.8 Combining Data and Graphics
6.4 Application: Fitting Experimental Data
6.8 Reliability and Survival Analysis
6.10 Application: Predicting Outputs Using Machine Learning Methods
6.11 Application: Development of a Package for Quality Control
7. Calculating π and Other Mathematical Tales
7.3 π with More Than One Billion Decimals
7.5 Application: Are the Decimal Digits of π Random?
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
9.2 Decay Constants, Decay Periods and Half-Lives
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
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
11. Economic and Financial Applications
11.4 The Shortest Path Problem
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