Elementary Mathematics from an Advanced Standpoint: Geometry - (Dover Books on Mathematics) by Felix Klein (Paperback)

This comprehensive treatment of geometric manifolds and transformations provides analytic formulas for precise formulation of geometric facts, covering line-segment, area, volume as relative magnitudes, Grassmann determinant principle for plane and space, classification of elementary configurations of space according to their behavior under transformation of rectangular coordinates, derivative manifolds, affine and projective transformations, higher point transformations, transformations with change of space element, and a systematic discussion of geometry and its foundations.

With 141 figures, this book is the most comprehensive and accurate resource for anyone looking to understand geometric manifolds and transformations.