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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
A Primer of Infinitesimal Analysis
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A rigorous, axiomatically formulated presentation of the 'zero-square', or 'nilpotent' infinitesimal.
The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics
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This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathematical. The fir
Sketches of an Elephant: A Topos Theory Compendium
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Topos Theory is a subject that stands at the junction of geometry, mathematical logic and theoretical computer science, and it derives much of its power from th
Synthetic Differential Geometry
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This book, first published in 2006, details how limit processes can be represented algebraically.