Synthetic Differential Topology: 448 (London Mathematical Society Lecture Note Series, Series Number 448) - Image 1

£30.00

Cambridge University Press Synthetic Differential Topology: 448 (London Mathematical Society Lecture Note Series, Series Number 448)

Name: Synthetic Differential Topology: 448 (London Mathematical Society Lecture Note Series, Series Number 448)
Brand: Cambridge University Press
Price: 30.0 GBP
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Geometry & Topology

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Description

This book formally introduces synthetic differential topology, a natural extension of the theory of synthetic differential geometry which captures classical concepts of differential geometry and topology by means of the rich categorical structure of a necessarily non-Boolean topos and of the systematic use of logical infinitesimal objects in it. Beginning with an introduction to those parts of topos theory and synthetic differential geometry necessary for the remainder, this clear and comprehensive text covers the general theory of synthetic differential topology and several applications of it to classical mathematics, including the calculus of variations, Mather's theorem, and Morse theory on the classification of singularities. The book represents the state of the art in synthetic differential topology and will be of interest to researchers in topos theory and to mathematicians interested in the categorical foundations of differential geometry and topology.

Product Specifications

Brand: Cambridge University Press
Format: paperback
ASIN: 1108447236
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 29 March 2018
Listed Since: 10 November 2017

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Cambridge University Press Synthetic Differential Topology: 448 (London Mathematical Society Lecture Note Series, Series Number 448)

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