How to Measure the Infinite
Mauro Di Nasso / Vieri Benci
This book contains an original introduction to the use of infinitesimal and infinite numbers, namely, the Alpha-Theory, which can be considered as an alternative approach to nonstandard analysis.The basic principles are presented in an elementary way by using the ordinary language of mathematics, this is to be contrasted with other presentations of nonstandard analysis where technical notions from logic are required since the beginning. Some a...