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Synopsis
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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Synopsis
Explains infinitesimals and infinitely large integers, as they were used before their elimination by the set-theoretic trend in mathematics. The explanation doesn't go against this trend, but gives a consistent reinterpretation of infinitesimals in a set-theoretic context, through the use of sheaf theory. The main concern is to show that synthetic
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Models for Smooth Infinitesimal Analysis
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Models for Smooth Infinitesimal Analysis
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Hardcover. Condition: As New. Springer Verlag; NY, 1991. Hardcover. First edition. Fine in glossy yellow printed boards. A nice, clean as new, unmarked copy. 8vo[octavo or approx. 6 x 9 inches], 399pp., bibliography, indexed. We pack securely and ship daily with delivery confirmation on every book. The picture on the listing page is of the actual book for sale. Additional Scan(s) are available for any item, please inquire.Please note: Oversized books/sets MAY require additional postage then what is quoted for 2.2lb book. Seller Inventory # SKU1025382
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Models for Smooth Infinitesimal Analysis
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Gebunden. Condition: New. 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 explai. Seller Inventory # 458433135
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Models for Smooth Infinitesimal Analysis
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Models for Smooth Infinitesimal Analysis
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Models for Smooth Infinitesimal Analysis
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Models for Smooth Infinitesimal Analysis
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Models for Smooth Infinitesimal Analysis
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Springer New York Dez 1990, 1990
ISBN 10: 038797489X
ISBN 13: 9780387974897
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Buch. Condition: Neu. Neuware - 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. Seller Inventory # 9780387974897
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