Geometry I: Basic Ideas and Concepts of Differential Geometry (Encyclopaedia of Mathematical Sciences, 28)

Description

This book provides a tour of the principal areas and methods of modern differential geometry. Beginning at the introductory level with curves in Euclidian space, the sections become more challenging, arriving finally at the advanced topics that form the greatest part of the book: transformation groups, the geometry of differential equations, geometric structures, the equivalence problem, the geometry of elliptic operators.