bokomslag Synthetic Differential Topology
Vetenskap & teknik

Synthetic Differential Topology

Marta Bunge

Pocket

1649:-

Funktionen begränsas av dina webbläsarinställningar (t.ex. privat läge).

Uppskattad leveranstid 5-10 arbetsdagar

Fri frakt för medlemmar vid köp för minst 249:-

  • 232 sidor
  • 2018
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.
  • Författare: Marta Bunge
  • Format: Pocket/Paperback
  • ISBN: 9781108447232
  • Språk: Engelska
  • Antal sidor: 232
  • Utgivningsdatum: 2018-03-29
  • Förlag: Cambridge University Press