Name: models for smooth infinitesimal analysis
SKU: 3429863
Price: 146.04 EUR
Availability: InStock
Author: reyes,moerdijk
ISBN: 9780387974897

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portada models for smooth infinitesimal analysis

models for smooth infinitesimal analysis

Type

Physical Book

Publisher

Springer

Author

reyes,moerdijk

Language

English

Pages

399

ISBN

038797489X

ISBN13

9780387974897

Synopsis "models for smooth infinitesimal analysis"

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.