A First Course in Differential Geometry. Pure and Applied Mathematics. A Series of Monographs and Textbooks, Volume 80

A First Course in Differential Geometry, by Izu Vaisman, Marcel Dekker, 1984 83-15306, 0824770633. Differential Geometry is studied under diverse circumstances, stressing the need for various approaches to the subject. A First Course in Differential Geometry represents a truly unique effort, distinguished by extensive involvement of the differential manifolds leading to the specific choice of topics investigated This book proposes a new approach which is designed to serve as an introductory course in differential geometry for advanced undergraduate students. It is based on lectures given by the author at several universities, and discusses calculus, topology, and linear algebra.