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Models for Smooth Infinitesimal Analysis
Moerdijk, Ieke; Reyes, Gonzalo E.
€ 139.96
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Description for Models for Smooth Infinitesimal Analysis
Paperback. Num Pages: 400 pages, biography. BIC Classification: PBK. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 21. Weight in Grams: 629.
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.
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.
Product Details
Format
Paperback
Publication date
2010
Publisher
Springer-Verlag New York Inc. United States
Number of pages
400
Condition
New
Number of Pages
400
Place of Publication
New York, NY, United States
ISBN
9781441930958
SKU
V9781441930958
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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