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A short course in differential topology

Author: B I Dundas
Publisher: Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018. ©2018
Series: Cambridge mathematical textbooks.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Preface In his inaugural lecture in 1854, Riemann introduced the concept of an "n fach ausgedehnten Grösse" - roughly something that has "n degrees of freedom" and which we now would call an n-dimensional manifold. Examples of manifolds are all around us and arise in many applications, but formulating the ideas in a satisfying way proved to be a challenge inspiring the creation of beautiful mathematics. As a  Read more...
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Genre/Form: Textbooks
Additional Physical Format: ebook version :
Document Type: Book
All Authors / Contributors: B I Dundas
ISBN: 9781108425797 1108425798
OCLC Number: 1021214357
Description: xii, 251 pages ; 26 cm.
Contents: Smooth manifolds --
The tangent space --
Regular values --
Vector bundles --
Constructions on vector bundles --
Integrability --
Local phenomena that go global.
Series Title: Cambridge mathematical textbooks.
Responsibility: Bjørn Ian Dundas (Universitetet i Bergen, Norway).

Abstract:

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  Read more...

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'Learning some topics in mathematics is a bit like climbing a mountain - it is best done with a guide. In this short course, Dundas is just that guide - revealing the best routes, giving the reader Read more...

 
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