ABSTRACT

Derived from the author's course on the subject, Elements of Differential Topology explores the vast and elegant theories in topology developed by Morse, Thom, Smale, Whitney, Milnor, and others. It begins with differential and integral calculus, leads you through the intricacies of manifold theory, and concludes with discussions on algebraic topol

chapter 1|48 pages

Review of Differential Calculus

chapter 2|28 pages

Integral Calculus

chapter 3|24 pages

Submanifolds of Euclidean Spaces

chapter 4|20 pages

Integration on Manifolds

chapter 5|32 pages

Abstract Manifolds

chapter 6|24 pages

Isotopy

chapter 7|32 pages

Intersection Theory

chapter 8|34 pages

Geometry of Manifolds

chapter 9|42 pages

Lie Groups and Lie Algebras: The Basics