A Short Course in Differential Topology (Cambridge Mathematical Textbooks) - Image 1

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Cambridge University Press A Short Course in Differential Topology (Cambridge Mathematical Textbooks)

Name: A Short Course in Differential Topology (Cambridge Mathematical Textbooks)
Brand: Cambridge University Press
Price: 24.5 GBP
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Higher Education

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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.

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A Short Course in Differential Topology

Books Subjects Science Math Mathematics Geometry Topology Topology Featured Stores

Product Type: ABIS BOOK

Cambridge University Press

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 1108425798
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Education > Higher Education
Domain: Amazon UK
Release Date: 28 June 2018
Listed Since: 24 January 2018

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Cambridge University Press A Short Course in Differential Topology (Cambridge Mathematical Textbooks)

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