PREFACE 1. STARTING (What is Mathematica; First Calculations; Important Conventions; Getting Help; Editing) 2. SIGHTSEEING (Graphics; Expressions; Mathematics) 3. NOTEBOOKS (Working with Notebooks; Editing Notebooks; Inputs and Outputs; Writing Mathematical Documents) 4. FILES (Loading Packages; Exporting and Importing; Saving for Other Purposes; Managing Time and Memory) 5. GRAPHICS FOR FUNCTIONS (Basic Plots for 2D Functions; Special Plots for 2D Functions; Plots for 3D Functions; Plots for 4D Functions) 6. GRAPHICS PRIMITIVES (Introduction; Primitives and Directives) 7. GRAPHICS OPTIONS (Introduction to Options; Options for Form, Ranges, and Fonts; Options for Axes, Frames, and Primitives; Options for the Curve; Options for Surface Plots; Options for Contour and Density Plots) 8. GRAPHICS FOR DATA (Basic Plots; Scatter Plots; Bar Charts; Other Plots; Graph Plots; Plots for 3D Data) 9. DATA (Chemical and Physical Data; Geographical and Financial Data; Mathematical and Other Data) 10. MANIPULATIONS (Basic Manipulation; Advanced Manipulation) 11. DYNAMICS (Views and Animations; Advanced Dynamics) 12. NUMBERS (Introduction to Numbers; Real Numbers; Options of Numerical Routines) 13. EXPRESSIONS (Basic Techniques; Manipulating Expressions; Manipulating Special Expressions; Mathematical Functions) 14. LISTS (Basic List Manipulation; Advanced List Manipulation) 15. TABLES (Basic Tabulating; Advanced Tabulating) 16. PATTERNS (Patterns; String Patterns) 17. FUNCTIONS (User-Defined Functions; More about Functions; Contexts and Packages) 18. PROGRAMS (Simple Programming; Procedural Programming; Functional Programming; Rule-Based Programming; Recursive Programming) 19. DIFFERENTIAL CALCULUS (Derivatives; Taylor Series; Limits) 20. INTEGRAL CALCULUS (Integration; Numerical Quadrature; Sums and Products; Transforms) 21. MATRICES (Vectors; Matrices) 22. EQUATIONS (Linear Equations; Polynomial and Radical Equations; Transcendental Equations) 23. OPTIMIZATION (Global Optimization; Linear Optimization; Local Optimization; Classical Optimization; Special Topics) 24. INTERPOLATION (Usual Interpolation; Piecewise Interpolation; Splines; Interpolation of Functions) 25. APPROXIMATION (Approximation of Data; Approximation of Functions) 26. DIFFERENTIAL EQUATIONS (Symbolic Solutions; More about Symbolic Solutions; Numerical Solutions; More about Numerical Solutions) 27. PARTIAL DIFFERENTIAL EQUATIONS (Symbolic Solutions; Series Solutions; Numerical Solutions) 28. DIFFERENCE EQUATIONS (Solving Difference Equations; The Logistic Equation; More About Discrete Systems) 29. PROBABILITY (Random Numbers and Sampling; Discrete Probability Distributions; Continuous Probability Distributions; Stochastic Processes) 30. STATISTICS (Descriptive Statistics; Frequencies; Confidence Intervals; Hypothesis Testing; Regression; Smoothing; Bayesian Statistics) REFERENCES INDEX