The theory of spaces with a generalized metric was initiated by FINSLER. Finsler geometry is a kind of differential geometry and originated by P. Finsler (1894-1970) in 1918. It is usually considered as a generalization of the Riemannian geometry. This book is focussed on basic ideas on Finsler Manifold, hypersurface and ( , beta)-metrics. Results on Berwald space and Douglas space of second kind With ( , beta)-metrics, projectively flat Finsler space with special metrics, Finsler hypersurface with such a metrics can also be seen. This book will help the young researchers those who are willing to work on these concepts.