Getting Started with Mathematica 2e
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English

Mathematica is computer software that performs abstract computation as well as numerical computation. It can produce graphics ranging from graphs of functions in the plane to intricate, three-dimensional plots of surfaces and parametric curves. It also provides support for programming.

This guide gives a stream-lined, but fairly extensive introduction to Mathematica. It primarily covers Mathematica 5.0, although references to earlier versions are included in cases where significant changes have been made.

Each of the Guide's 28 Chapters has been structured around an area of undergraduate mathematics (e.g., one-variable differential Calculus, multiple integration, differential equations, linear algebra). Each chapter defines relevant commands used in that area, addresses their syntax, and provides basic examples. Each chapter ends with one or more sections which include more technical examples, offer useful tips, and diagnose common problems that users are likely to encounter. Two appendices are also included that explain how to work in the Mathematica notebook environment and use certain input features.

English

PART 1: BASIC MATHEMATICA COMMANDS.

1. Running Mathematica.

2. Calculator Features in Mathematica.

3. Variables and Functions.

4. Computer Algebra.

5. Working with Equations.

6. Mathematica Lists.

7. Getting Help and Loading Packages.

PART 2: 2-D PICTURES IN MATHEMATICA.

8. Making Graphs.

9. Plotting a Curve.

10. More on Mathematica 2D Graphics.

PART 3: MATHEMATICA FOR ONE-VARIABLE CALCULUS. 

11. Limits and Derivatives.

12. Integration.

13. Series, Taylor Series, and Fourier Series.

PART 4: 3-D PICTURES IN MATHEMATICA. 

14. Making Graphs in Space.

15. Level Curves and Level Surfaces.

16. Parametric Curves and Surfaces in Space.

PART 5: MATHEMATICA  FOR ADVANCED CALCULUS.

17. Partial Differentiation and Multiple Integration.

18. Matrices and Vectors.

19. Vector Fields.

20. Solving Differential Equations.

21. Solving Partial Differential Equations.

PART 6: USING MATHEMATICA IN STATISTICS.

22. More About Lists.

23. Basic Statistics.

24. Regression and Interpolation.

PART 7: ADVANCED FEATURESOF MATHEMATICA.

25. Advanced Graphics in Mathematica.

26. Writing Mathematica Programs.

27. Animation.

28. Random Numbers and Simulation.

Appendix A: Working with Notebooks.

Appendix B: Input Shortcuts.

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