# Scale Calculus and M-Polyfolds -- An Introduction

## TL;DR

This paper introduces scale calculus and M-polyfolds, providing foundational concepts and methods for advanced mathematical analysis in infinite-dimensional spaces, aimed at graduate students and researchers.

## Contribution

It offers an accessible introduction to scale calculus and M-polyfolds, bridging the gap between theory and applications in symplectic field theory and related areas.

## Key findings

- Clarifies the foundational aspects of scale calculus.
- Introduces the concept of M-polyfolds for infinite-dimensional analysis.
- Provides educational material for graduate courses and seminars.

## Abstract

These are lecture notes on scale calculus and M-polyfolds written for a graduate course at UNICAMP March-June 2018 and an advanced mini-course given during the biannual meeting of Brazilian mathematicians, CBM-32, at IMPA in August 2019.