Mathematical Knowledge in Mathematica
Mathematica incorporates the knowledge from the world's mathematical handbooks--and uses its own revolutionary algorithms to go much further.
Mathematica knows about all the hundreds of special functions in pure and applied mathematics.
Mathematica can evaluate special functions with any parameters to any precision.
Mathematica is now able to do vastly more integrals than were ever before possible for either humans or computers.
Here is a definite integral. The results often require special functions.
Here is a symbolic sum.
Mathematica can solve a wide range of ordinary and partial differential equations.
This finds the billionth prime number.
Mathematica's algorithms can generate a huge range of mathematical results.
You can tell Mathematica assumptions about variables.