"Finsler geometry is the most general among those geometries which satisfy certain highly natural conditions. ... In the last fifty years many papers and more books appeared on Finsler geometry. So it became difficult to obtain a good overlook on the subject. The present Handbook aims to fill this gap. ... The authors wrote well understandable parts. So the book is easily readable also with little knowledge on Finsler geometry." (Lajos Tamássy, Zentralblatt MATH, Vol. 1057 (8), 2005)