| Models for Smooth Infinitesimal Analysis Contributor(s): Moerdijk, Ieke (Author), Reyes, Gonzalo E. (Author) |
|
 |
ISBN: 1441930957 ISBN-13: 9781441930958 Publisher: Springer OUR PRICE: $113.99 Product Type: Paperback - Other Formats Published: December 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Mathematical Analysis - Mathematics | Vector Analysis |
| Dewey: 515 |
| Physical Information: 0.84" H x 6.14" W x 9.21" (1.27 lbs) 400 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |
