Logo

Introduction to Differential Topology

Small book cover: Introduction to Differential Topology

Introduction to Differential Topology
by

Publisher: Boise State University
Number of pages: 110

Description:
This is a preliminary version of introductory lecture notes for Differential Topology. We try to give a deeper account of basic ideas of differential topology than usual in introductory texts. Also many more examples of manifolds like matrix groups and Grassmannians are worked out in detail.

Home page url

Download or read it online for free here:
Download link
(multiple formats)

Similar books

Book cover: Symplectic GeometrySymplectic Geometry
by - Princeton University
An overview of symplectic geometry – the geometry of symplectic manifolds. From a language of classical mechanics, symplectic geometry became a central branch of differential geometry and topology. This survey gives a partial flavor on this field.
(8308 views)
Book cover: Introduction to Symplectic and Hamiltonian GeometryIntroduction to Symplectic and Hamiltonian Geometry
by
The text covers foundations of symplectic geometry in a modern language. It describes symplectic manifolds and their transformations, and explains connections to topology and other geometries. It also covers hamiltonian fields and hamiltonian actions.
(9411 views)
Book cover: Introduction to Differential Topology, de Rham Theory and Morse TheoryIntroduction to Differential Topology, de Rham Theory and Morse Theory
by - Radboud University
Contents: Why Differential Topology? Basics of Differentiable Manifolds; Local structure of smooth maps; Transversality Theory; More General Theory; Differential Forms and de Rham Theory; Tensors and some Riemannian Geometry; Morse Theory; etc.
(6814 views)
Book cover: Contact GeometryContact Geometry
by - arXiv
This is an introductory text on the more topological aspects of contact geometry. After discussing some of the fundamental results of contact topology, I move on to a detailed exposition of the original proof of the Lutz-Martinet theorem.
(6757 views)