Differential Topology Victor Guillemin and Alan Pollack is an English-language textbook for professionals in mathematics. The book provides a clear and accessible introduction to the study of smooth manifolds and is suitable for both advanced undergraduate and master’s degree programs.
This edition emphasizes the unifying technique of transversality to make complex topics in differential topology understandable. Important results, such as the Lefschetz fixed-point, the Poincaré–Hopf index, and Stokes' theorem, are treated systematically. In addition, the book includes a variety of exercises, ranging from routine questions to step-by-step proofs of fundamental theorems, including the Jordan–Brouwer separation theorem.
The book thoroughly covers the concepts surrounding the Jordan–Brouwer separation and offers an in-depth, self-contained learning experience for students who want to explore topology, geometry, and related fields.
In terms of content, this title relates to topics such as Geometry, Topology, and MATHEMATICS / Geometry / General.
Series: AMS Chelsea Publishing