A comprehensive approach to qualitative problems in intrinsic differential geometry, this text opens with an explanation of the basic concepts and proceeds to discussions of Desarguesian spaces, perpendiculars and parallels, and covering spaces. Concluding chapters examine the influence of the sign of the curvature on geodesics and homogenous spaces. 1955 edition. Includes 66 figures. Unabridged republication of the edition published by Academic Press, Inc., New York, 1955.
Here's a sample of other books in this Dover category
The Variational Theory of Geodesics by M. M. Postnikov Compact, self-contained text by noted theorist presents the most fundamental aspects of modern differential geometry as well as the basic tools required for the study of Morse theory. 1967 edition.
Tensor Calculus: A Concise Course by Barry Spain Compact exposition of the fundamental results in the theory of tensors; also illustrates the power of the tensor technique by applications to differential geometry, elasticity, and relativity. 1960 edition.
Tensor Calculus by J. L. Synge, A. Schild Fundamental introduction of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, more.
