Differential Topology and Morse Theory
by Dirk Schuetz
Publisher: University of Sheffield 2009
Number of pages: 96
Description:
These notes describe basic material about smooth manifolds (vector fields, flows, tangent bundle, partitions of unity, Whitney embedding theorem, foliations, etc...), introduction to Morse theory, and various applications.
Download or read it online for free here:
Download link
(600KB, PDF)
Similar books
Differential Topologyby Bjorn Ian Dundas - Johns Hopkins University
This is an elementary text book for the civil engineering students with no prior background in point-set topology. This is a rather terse mathematical text, but provided with an abundant supply of examples and exercises with hints.
(11036 views)
Tight and Taut Submanifoldsby Thomas E. Cecil, Shiing-shen Chern - Cambridge University Press
Tight and taut submanifolds form an important class of manifolds with special curvature properties, one that has been studied intensively by differential geometers since the 1950's. This book contains six articles by leading experts in the field.
(12020 views)
Introduction to Differential Topologyby Uwe Kaiser - Boise State University
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. Many examples of manifolds are worked out in detail.
(10126 views)
Introduction to Differential Topology, de Rham Theory and Morse Theoryby Michael Muger - 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.
(12201 views)