Paperback
Explore smooth spaces: the elegant, interconnected heart of modern geometry.

$124.14

  • Paperback

    400 pages

  • Release Date

    3 September 2026

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Summary

Differential topology uncovers the hidden structure of smooth spaces – the foundation of modern geometry and topology. This book offers a clear, rigorous introduction to the subject, blending theory with concrete examples and applications.

Beginning with the basics of manifolds and smooth maps, it develops essential tools and concepts such as tangent spaces, transversality, cobordism, and tubular neighbourhoods, before progressing to powerful invariants like the Brouwer degree, inters…

Book Details

ISBN-13:9781009733861
ISBN-10:1009733869
Author:Gereon Quick
Publisher:Cambridge University Press
Imprint:Cambridge University Press
Format:Paperback
Number of Pages:400
Release Date:3 September 2026
Weight:534g
Series:London Mathematical Society Student Texts
What They're Saying

Critics Review

‘The material of the book is comparable to that of Milnor’s classic treatise, but Quick’s exposition is much more detailed and concrete. Students with a basic knowledge of linear algebra and multidimensional calculus will have no difficulty understanding this material. Almost all exercises have detailed solutions, so, apart from being a great companion to lectures, the book is ideal for self-study.’ Christopher Deninger, University of Münster

About The Author

Gereon Quick

Gereon Quick is Professor of Mathematics at NTNU. His research explores homotopy theory across algebra, geometry, and number theory. He studied and held academic appointments in Cambridge, Paris, Münster, Princeton, and Harvard. His work has been supported by research grants from Germany, Norway, and the USA.

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