Mathematica Navigator

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

Mathematica Navigator can be used as a tutorial and as a handbook. While no previous experience with Mathematics is required, it is also an advanced 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 Mathematics 7
- With the CD-ROM, the entire book and the material about Mathematics
- 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; 2. SIGHTSEEING (Graphics; Expressions; Mathematics) 3. NOTEBOOKS (Working with Notebooks; Editing Notebooks; Inputs and Outputs; Writing Mathematical Documents) 4 FILES (Loading Packages) 5. GRAPHICS FOR FUNCTIONS (Plots for 2D Functions, Plots for 4D Functions). GRAPHICS PRIMITIVES (Introduction; Primitives and Directives) 7. GRAPHICS OPTIONS (Options for Options, Options, Options, Contexts, Options for Contours, Options for Contours Density Plots) 8. GRAPHICS FOR DATA (Basic Plots; Plots for 3D Data). 9. DATE (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 (Polynomial and Radical Equations; Transcendental Equations) 23. OPTIMIZATION (Global Optimization; Linear Optimization; Local Optimiz ation; Classical Optimization; Special Topics) 24. INTERPOLATION (Interpretation of Functions) 25. APPROXIMATION (Approximation of Data; Approximation of Functions) 26. DIFFERENTIAL EQUATIONS (Symbolic Solutions; Solutions) 27. PARTIAL DIFFERENTIAL EQUATIONS (Symbolic Solutions; Series Solutions) 28. DIFFERENCE EQUATIONS 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