Some basic matrix operations. Transposing a matrix interchanges the rows and columns in the matrix. If you transpose an m×n matrix, you get an n×m matrix as the result. ...

Expressions are the main type of data in Mathematica. Expressions can be written in the form h[e_1,e_2,…]. The object h is known generically as the head of the expression. ...

Basic plotting functions. This plots a graph of sin(x) as a function of x from 0 to 2π. You can plot functions that have singularities. Mathematica will try to choose ...

Basic descriptive statistics operations. Given a list with n elements x_i, the mean Mean[list] is defined to be μ(x)OverscriptBox[x, _]∑x_i/n. The variance Variance[list] ...

Functions like Read and Write handle ordinary printable text. But in dealing with external data files or devices it is sometimes necessary to go to a lower level, and work ...

Differentiation Total Derivatives Derivatives of Unknown Functions

Converting to and from character codes. Mathematica assigns every character that can appear in a string a unique character code. This code is used internally as a way to ...

Converting between strings and lists of characters. This gives a list of the characters in the string. You can apply standard list manipulation operations to this list.

In many computations you are concerned only with the final result of evaluating the expression given as input. But sometimes you also want to collect expressions that were ...

When you manipulate power series, it is sometimes convenient to think of the series as representing functions, which you can, for example, compose or invert. Composition and ...