Reprint Server

Non-Archimedean Analysis and Rigorous Computation


Abstract

An introduction to recent work on analysis over the nonarchimedean Levi-Civita field related to applications for common numerical tasks is provided. After studying the algebraic, order, and topological properties, a calculus is developed under which central concepts like the intermediate value theorem, mean value theorem, and Taylorís theorem with remainder hold under slightly stronger conditions. Most importantly for practical applications, it allows the computation of derivatives of real functions as difference quotients with infinitesimal increment.


M. Berz, International Journal of Applied Mathematics 2(5) (2000) 889-930


Download

Click on the icon to download the corresponding file.

Download Adobe PDF version (254025 Bytes).


Go Back to the reprint server.
Go Back to the home page.


This page is maintained by Ravi Jagasia. Please contact him if there are any problems with it.