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
Review of Differential Calculus. Integral Calculus. Submanifolds of Euclidean Spaces. Integration on Manifolds. Abstract Manifolds. Isotopy. Intersection Theory. Geometry of Manifolds. Lie Groups and Lie Algebras: The Basics. Hints/Solutions to Select Exercises. Bibliography. Index.