  The book "Handbook of Finsler geometry" has been included with a CD
containing an elegant Maple package, FINSLER, for calculations in Finsler
geometry. Using this package, an example concerning a Finsler generalization of
Einstein's vacuum field equations was treated. In this example, the calculation
of the components of the hv-curvature of Cartan connection leads to wrong
expressions. On the other hand, the FINSLER package works only in dimension
four. We introduce a new Finsler package in which we fix the two problems and
solve them. Moreover, we extend this package to compute not only the geometric
objects associated with Cartan connection but also those associated with
Berwald, Chern and Hashiguchi connections in any dimension. These improvements
have been illustrated by a concrete example. Furthermore, the problem of
simplifying tensor expressions is treated. This paper is intended to make
calculations in Finsler geometry more easier and simpler.
