Tangent spaces and tensor calculus Tensors and differential forms Chapter 4. Basic results from Differential Topology Chapter 3. Introduction to Smooth Manifolds Chapter 2.
( 7462 views) Differential Geometry: Lecture Notesīy Dmitri Zaitsev - Trinity College Dublin, 2004įrom the table of contents: Chapter 1. ( 6348 views) Differential Geometry: A First Course in Curves and Surfacesīy Theodore Shifrin - University of Georgia, 2015Ĭontents: Curves (Examples, Arclength Parametrization, Frenet Frame) Surfaces: Local Theory (Parametrized Surfaces, Gauss Map, Covariant Differentiation, Parallel Translation, Geodesics) Surfaces: Further Topics (Holonomy, Hyperbolic Geometry.). By the use of vector methods the presentation is both simplified and condensed, and students are encouraged to reason geometrically rather than analytically.īy John Edward Campbell - Clarendon Press, 1926Ĭontents: Tensor theory The ground form when n=2 Geodesics in two-way space Two-way space as a locus in Euclidean space Deformation of a surface and congruences Curves in Euclidean space and on a surface The ruled surface Minimal surface etc. The book is devoted to differential invariants for a surface and their applications. Weatherburn - Cambridge University Press, 1955
( 4731 views) Differential Geometry Of Three Dimensionsīy C.E. This is the only book that introduces differential geometry through a combination of an intuitive geometric foundation, a rigorous connection with the standard formalisms, computer exercises with Maple, and a problems-based approach. E-books in Introductory Differential Geometry category Differential Geometry: A Geometric Introductionīy David W.
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