Faithin Omaha eBook Collection

A coherent, self-contained treatment of the central topics of real analysis employing modern infinitesimals.

Real Analysis Through Modern Infinitesimals provides a course on mathematical analysis based on Internal Set Theory (IST) introduced by Edward Nelson in 1977. A

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

This first year graduate text is a comprehensive resource in real analysis based on a modern treatment of measure and integration. Presented in a definitive and

On August 10, 1632, five leading Jesuits convened in a sombre Roman palazzo to pass judgment on a simple idea: that a continuous line is composed of distinct an