A typical Mathematica notebook containing text, graphics, and Mathematica expressions. The brackets on the right indicate the extent of each cell. Mathematica notebooks are ...

DSolve can find solutions for most of the standard linear second-order ODEs that occur in applied mathematics. Here is the solution for Airy's equation. Here is a plot that ...

When you set up mathematical formulas, you often have to introduce various kinds of local objects or "dummy variables". You can treat such dummy variables using modules and ...

Ways to enter Greek letters in a notebook. Here is a palette for entering common Greek letters. You can use Greek letters just like the ordinary letters that you type on your ...

Mathematica allows you to export graphics and sounds in a wide variety of formats. If you use the notebook front end for Mathematica, then you can typically just copy and ...

Ways to get pieces of matrices. Matrices in Mathematica are represented as lists of lists. You can use all the standard Mathematica list-manipulation operations on matrices. ...

MathLink allows you to exchange data of any type with external programs. For more common types of data, you simply need to give appropriate :ArgumentTypes: or :ReturnType: ...

Mathematica uses the Microsoft math recognizer that is built into Windows 7 to recognize handwritten mathematical expressions. This allows you to enter handwritten ...

"Defining Functions" discusses how you can define functions in Mathematica. In a typical case, you would type in f[x_]=x^2 to define a function f. (Actually, the definitions ...

Mathematica by default interprets any sequence of letters or letter-like forms as the name of a symbol. All these are treated by Mathematica as symbols. Symbols with built-in ...