Analysis with Ultrasmall Numbers

by Karel Hrbacek, Olivier Lessmann, Richard O'Donovan

Book Overview

Analysis with Ultrasmall Numbers presents an intuitive treatment of mathematics using ultrasmall numbers. With this modern approach to infinitesimals, proofs become simpler and more focused on the combinatorial heart of arguments, unlike traditional treatments that use epsilon-delta methods. Students can fully prove fundamental results, such as the Extreme Value Theorem, from the axioms immediately, without needing to master notions...

• Format: Paperback
• Language: English
• ISBN: 1032922397
• ISBN13: 9781032922393
• Release Date: October 2024
• Publisher: CRC Press
• Length: 322 Pages