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Symbolic Parameters and Inexact ...   (Mathematica Tutorial)
The differential equations that arise in practice are of two types. Here is an example of the first type. Here is an example of the second type. This equation has a symbolic ...
Entering Formulas   (Mathematica Tutorial)
Special forms for some common symbols. This is equivalent to Sin[60Degree]. Here is the long form of the input.
Lighting and Surface Properties   (Mathematica Tutorial)
With the default option setting Lighting->Automatic, Mathematica uses a simulated lighting model to determine how to color polygons in three-dimensional graphics. Mathematica ...
Making Tables of Values   (Mathematica Tutorial)
You can use lists as tables of values. You can generate the tables, for example, by evaluating an expression for a sequence of different parameter values. This gives a table ...
Rigid Body Solvers   (Mathematica Tutorial)
The equations of motion for a free rigid body whose center of mass is at the origin are given by the following Euler equations (see [MR99]). Two quadratic first integrals of ...
Representing Textual Forms by Boxes   (Mathematica Tutorial)
All textual and graphical forms in Mathematica are ultimately represented in terms of nested collections of boxes. Typically the elements of these boxes correspond to objects ...
Sparse Arrays: Manipulating Lists   (Mathematica Tutorial)
Lists are normally specified in Mathematica just by giving explicit lists of their elements. But particularly in working with large arrays, it is often useful instead to be ...
Structural Operations   (Mathematica Tutorial)
Mathematica contains some powerful primitives for making structural changes to expressions. You can use these primitives both to implement mathematical properties such as ...
Structural Operations on Polynomials   (Mathematica Tutorial)
Structural operations on polynomials. Here is a polynomial in one variable. Expand expands out products and powers, writing the polynomial as a simple sum of terms.
Vectors and Matrices   (Mathematica Tutorial)
Vectors and matrices in Mathematica are simply represented by lists and by lists of lists, respectively. The representation of vectors and matrices by lists. This is a 2×2 ...
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