A Short Course in Differential Topology

ISBN-13: 9781108425797 / Angielski / Twarda / 2018 / 262 str.

Bjorn Ian Dundas

Opis

Concise and modern introduction to differential topology with a hands-on approach and plentiful examples and exercises.

Recenzje

'... the author writes in a style that students will enjoy reading: the book is quite clear, chatty to the point of being colloquial ... and filled with helpful examples ... [It] serves beautifully as a first look at this material, and does a splendid job of preparing the reader for more sophisticated accounts of the subject.' Mark Hunacek, The Mathematical Gazette

Spis treści

1. Introduction; 2. Smooth manifolds; 3. The tangent space; 4. Regular values; 5. Vector bundles; 6. Constructions on vector bundles; 7. Integrability; 8. Local phenomena that go global; Appendix A. Point set topology; Appendix B. Hints or solutions to exercises; References; Index.