Can I read Synthetic Differential Topology (London Mathematical Society Lecture Note Series, Series Number 448) on EtoBox?

Synthetic Differential Topology (London Mathematical Society Lecture Note Series, Series Number 448) by Marta C. Bunge, Felipe Gago, Ana María San Luis is a nonfiction available to read on EtoBox.

What is Synthetic Differential Topology (London Mathematical Society Lecture Note Series, Series Number 448) about?

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.

Who reads Synthetic Differential Topology (London Mathematical Society Lecture Note Series, Series Number 448)?

Author

Marta C. Bunge, Felipe Gago, Ana María San Luis

Publisher

Cambridge University Press (Virtual Publishing)

Published

2018

Language

EN

ISBN

9781108447232

Category

nonfiction

Subjects

Mathematics, Geometry And Topology, Stem