Faithin Omaha eBook Collection

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 rigorous, axiomatically formulated presentation of the 'zero-square', or 'nilpotent' infinitesimal.

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

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

This book, first published in 2006, details how limit processes can be represented algebraically.