Building Up Computations
Being able to work with formulas lets you easily integrate all the parts of a computation.
Here are the eigenvalues of a matrix of numbers.
Mathematica CalcCenter can still compute the eigenvalues even when symbolic parameters are introduced. The result is in effect a compact representation of the eigenvalues for any value of b.
Mathematica CalcCenter's functions are carefully designed so that output from one calculation can easily be used as input to others.
This takes the formula for the eigenvalues and immediately plots it.
You can solve for the value of b at which the first eigenvalue is zero...
...or find the integral from 0 to c.
This finds the series expansion of the previous result.
This searches numerically for a root.