Short Course in Differential Topology

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

List of contents

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.

About the author

Bjørn Ian Dundas is Professor in the Mathematics Department at the Universitetet i Bergen, Norway. Besides his research and teaching, he is the author of three books.

Summary

This book offers a concise and modern introduction to differential topology, the study of smooth manifolds and their properties, at the advanced undergraduate/beginning graduate level. The treatment throughout is hands-on, including many concrete examples and exercises woven into the text with hints provided to guide the student.

Product details

• Authors: B. I. Dundas, Bj¿rn Ian Dundas, Bjorn Ian Dundas, Bjørn Ian Dundas, Bjorn Ian (Universitetet I Bergen Dundas, Bjorn Ian (Universitetet I Bergen Norway) Dundas, Bjrn Ian Dundas
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 30.06.2018
• EAN: 9781108425797
• ISBN: 978-1-108-42579-7
• No. of pages: 262
• Series: Cambridge mathematical textbooks; Cambridge Mathematical Textboo; Cambridge Mathematical Textbooks
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Geometry / General, geometry