Models for Smooth Infinitesimal Analysis
ISBN-13:
9780387974897
ISBN-10:
038797489X
Edition:
1991
Author:
Ieke Moerdijk, Gonzalo E. Reyes
Publication date:
1990
Publisher:
Springer
Format:
Hardcover
410 pages
Category:
Applied
,
Mathematics
FREE US shipping
Book details
ISBN-13:
9780387974897
ISBN-10:
038797489X
Edition:
1991
Author:
Ieke Moerdijk, Gonzalo E. Reyes
Publication date:
1990
Publisher:
Springer
Format:
Hardcover
410 pages
Category:
Applied
,
Mathematics
Summary
Models for Smooth Infinitesimal Analysis (ISBN-13: 9780387974897 and ISBN-10: 038797489X), written by authors
Ieke Moerdijk, Gonzalo E. Reyes, was published by Springer in 1990.
With an overall rating of 4.2 stars, it's a notable title among other
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Description
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.
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