Mathematica Navigator

Ruskeepaa gives a general introduction to the most recent versions of Mathematica, the symbolic computation software from Wolfram. The book emphasizes graphics, methods of applied mathematics and statistics, and programming.

Mathematica Navigator can be used both as a tutorial and as a handbook. While no previous experience with Mathematica is required, most chapters also include advanced material, so that the book will be a valuable resource for both beginners and experienced users.

- Covers both Mathematica 6 and Mathematica 7
- The book, fully revised and updated, is based on Mathematica 6
- The CD-ROM contains material about the new properties of Mathematica 7
- With the CD-ROM, the entire book and the material about Mathematica 7 can be installed into the help system of Mathematica
- Comprehensive coverage from basic, introductory information through to more advanced topics
- Studies several real data sets (included in the CD-ROM) and many classical mathematical models

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