Exact calculation of inverse functions

We represent continuous functions on compact intervals by sequences of functions defined on finite sets of rational numbers. We call this an exact representation. This enables us to calculate the values of the function arbitrarily exactly, without roundoff errors. As an application we develop a procedure to transfer an exact representation of an increasing function into an exact representation of the corresponding inverse function. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)