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Models for Smooth Infinitesimal Analysis

Models for Smooth Infinitesimal Analysis

Paperback

CalculusGeneral Mathematics

ISBN10: 1441930957
ISBN13: 9781441930958
Publisher: Springer
Published: Dec 1 2010
Pages: 400
Weight: 1.27
Height: 0.84 Width: 6.14 Depth: 9.21
Language: English
The aim of this book is to construct categories of spaces which contain all the C?-manifolds, but in addition infinitesimal spaces and arbitrary function spaces. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are explained at a leisurely pace and applied. By discussing topics such as integration, cohomology and vector bundles in the new context, the adequacy of these new spaces for analysis and geometry will be illustrated and the connection to the classical approach to C?-manifolds will be explained.

Also from

Moerdijk, Ieke

Also in

Calculus