The Beginner's Guide to Mathematica ® Version 3

Preface; Part I. The Basics: 1.1 What do I need to make Mathematica work on my computer?; 1.2 How do I start Mathematica?; 1.3 Can I read the rest of this book without reading this chapter?; 1.4 What's the difference between numerical and symbolic calculation?; 1.5 How do I ask Mathematica for help?; 1.6 How do I define constants and functions?; 1.7 What's a package and how do I load it?; 1.8 What packages have you got?; 1.9 Why didn't it work when I tried to load a package?; Part II. Using Mathematical Notation: 2.1 Can I use Mathematica without learning any new notation?; 2.2 How do I use palettes to do Math?; 2.3 How do I enter Úπ0 (1/(1 - m sin2(q)))dq) without using the keyboard?; 2.4 How do I enter Úπ0 (1/(1 - m sin2(q)))dq) really quickly?; Part III. Lists, Tables, Vectors, And Matrices: 3.1 What are lists and what can I do with them?; 3.2 How do I enter $/matrix{a&b// c&d}$?; 3.3 How do I make a table of values?; 3.4 How do I manipulate vectors and matrices? Part IV. Numerical Calculations: 4.1 What's the difference between 2 and 2.?; 4.2 How do I do big numerical calculations?; Part V. Algebra: 5.1 How do I manipulate polynomials?; 5.2 How do I solve equations?; 5.3 How do I use complex numbers?; 5.4 How do I learn something with Mathematica?; Part VI. Calculus: 6.1 How do I integrate and differentiate?; 6.2 How do I find limits?; 6.3 How do I solve differential equations?; Part VII. Two Dimensional Plotting: 7.1 How do I plot a function in two dimensions?; 7.2 How do I plot parametric equations in two dimensions?; 7.3 How do I plot in polar coordinates?; 7.4 How do I plot implicitly defined functions?; 7.5 How do I show the area between curves? Part VIII. Three Dimensional Plotting: 8.1 How do I plot a function in three dimensions?; 8.2 How do I plot a parametric equation in three dimensions?; 8.3 How do I plot in cylindrical and spherical coordinates? Part IX. Other Graphics And Sounds: 9.1 How do I make contour and density plots?; 9.2 How do I plot a list of values?; 9.3 How do I make sounds?; 9.4 How do I make animations?; Part X. Notebooks: 10.1 How do I use Mathematica as a word processor?; 10.2 How do I use Mathematica as an outliner?; 10.3 How do I use Mathematica to write books, papers, and reports? 10.4 How do I give my friend a notebook if he has one of those other computers? 10.5 Is Mathematica 'scriptable'?; Part XI. Mathematica and the Internet: 11. 1. Does this book have a home page?; 11.2 What Mathematica resources are available on the Web?; Part XII. Statistics And Data Analysis: 12.1 How do I do statistics?; 12.2 How do I fit a curve to data?; Part XIII. Programming: 13.1 How do I program in Mathematica?; 13.2 Should I ever use a for loop?; 13.3 How do I use patterns?