The mathematical operations we have discussed so far are exact. Given precise input, their results are exact formulas. In many situations, however, you do not need an exact ...

There are many situations where you want to write a particular algebraic expression in the simplest possible form. Although it is difficult to know exactly what one means in ...

You can give Solve a list of simultaneous equations to solve. Solve can find explicit solutions for a large class of simultaneous polynomial equations. Here is a simple ...

When you give a list of equations to Solve, it assumes that you want all the equations to be satisfied simultaneously. It is also possible to give Solve more complicated ...

Spheroidal functions. The radial spheroidal functions SpheroidalS1[n,m, γ,z] and SpheroidalS2[n,m,γ,z] and angular spheroidal functions SpheroidalPS[n,m,γ,z] and ...

For ordinary polynomials, Factor and Expand give the most important forms. For rational expressions, there are many different forms that can be useful. Different kinds of ...

This constructs the sum ∑_(i=1)^7 (x^i)/(i) . You can leave out the lower limit if it is equal to 1. This makes i increase in steps of 2, so that only odd-numbered values are ...

One of the important features of Mathematica is that it can do symbolic, as well as numerical calculations. This means that it can handle algebraic formulas as well as ...

Mathematica treats equations as logical statements. If you type in an equation like x^2+3x==2, Mathematica interprets this as a logical statement which asserts that x^2+3x is ...

Power series are represented in Mathematica as SeriesData objects. The power series is printed out as a sum of terms, ending with O[x] raised to a power. Internally, however, ...