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A Short Course in Differential Topology on Hardback by Bjorn Ian Dundas
A Short Course in Differential Topology on Hardback by Bjorn Ian Dundas
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A Short Course in Differential Topology

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Description

Manifolds are abound in mathematics and physics, and increasingly in cybernetics and visualization where they often reflect properties of complex systems and their configurations. Differential topology gives us the tools to study these spaces and extract information about the underlying systems. This book offers a concise and modern introduction to the core topics of differential topology for advanced undergraduates and beginning graduate students. It covers the basics on smooth manifolds and their tangent spaces before moving on to regular values and transversality, smooth flows and differential equations on manifolds, and the theory of vector bundles and locally trivial fibrations. The final chapter gives examples of local-to-global properties, a short introduction to Morse theory and a proof of Ehresmann's fibration theorem. The treatment is hands-on, including many concrete examples and exercises woven into the text, with hints provided to guide the student.

Author Biography:

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.
Release date Australia
June 28th, 2018
Audiences
  • Professional & Vocational
  • Tertiary Education (US: College)
Illustrations
Worked examples or Exercises; 45 Halftones, black and white; 50 Line drawings, black and white
Pages
262
Dimensions
182x260x16
ISBN-13
9781108425797
Product ID
27594844

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