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Finsler geometry has been a main field of differential geometry in the 20th and 21st century. Its most natural generalizations are spray geometry and the geometry of generalized metric (Riemannian) spaces. This volume contains the authors own results embedded in the solid framework of classical results. Wherever possible, the author uses a modern, index- and coordinate-free apparatus. An Appendix, however, contains the formulations of several geometric objects presented in the text in terms of coordinates as well. The author quotes the most important original sources as well as the treatises...

This book provides a comprehensive introduction to Finsler geometry in the language of present-day mathematics. Through Finsler geometry, it also introduces the reader to other structures and techniques of differential geometry. Prerequisites for reading the book are minimal: undergraduate linear algebra (over the reals) and analysis. The necessary concepts and tools of advanced linear algebra (over modules), point set topology, multivariable calculus and the rudiments of the theory of differential equations are integrated in the text. Basic manifold and bundle theories are treated...