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. Advanced treatment; analytical rather than topological aspects of Morse theory emphasized. Discusses smooth manifolds, spaces of affine connection, Riemannian spaces, more. 1967 edition.
Here's a sample of other books in this Dover category
Riemann’s Zeta Function by H. M. Edwards Superb study of the landmark 1859 publication entitled "On the Number of Primes Less Than a Given Magnitude" traces the developments in mathematical theory that it inspired. Topics include Riemann's main formula, the Riemann-Siegel formula, more.
Calculus of Variations by I. M. Gelfand, S. V. Fomin Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.
The Geometry of Geodesics by Herbert Busemann A comprehensive approach to qualitative problems in intrinsic differential geometry, this text examines Desarguesian spaces, perpendiculars and parallels, covering spaces, the influence of the sign of the curvature on geodesics, more. 1955 edition. Includes 66 figures.
Lectures on the Theory of Elliptic Functions by Harris Hancock Prized for its remarkably full treatment and its comprehensive discussion of both theory and applications, this exposition of the theory of elliptic functions begins with formulas establishing the existence, formation, and treatment of all three types and concludes with the most general description of these integrals in terms of the Riemann surface. 1910 ed.
