A root or solution of equation f(x)=0 are the values of x for which the equation holds true.
Methods for finding roots of equations are basic numerical methods and the subject is generally covered in books on numerical methods or numerical analysis (see below). Numerical methods for finding roots of equations can often be easily programmed and can also be found in general numerical libraries.
The methods can often be easily programmed and
are also found in general numerical libraries:
NAG (Numerical Algorithms Group) and
IMSL
(International Mathematics and Statistical Library).