Non-standard analysis, Ultrafunçtions, infinites and infinitesimals, with applications

• Grant number: 24/02878-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2024
• End date: July 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Eugenio Tommaso Massa
• Grantee: Otávio Augusto Biasi
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 22/16407-1 - TESdE: Thematic on Equations and Systems of differential Equations, AP.TEM

Abstract

In this project we aim to trail an introductory path on topics in topology and analysis, which are not usually found in engeneer first years couses, with the double scope of presenting them to the student, improving his mathematical tools, and also to put him in condition to read some some works by Prof. V. Benci, from the university of Pisa (Italy) about the theory of Non-Archimedean fields and ultrafunctions.