Mathematical Foundations · Differential Calculus

Mathematical Continuity · Real Analysis and Differential Calculus

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Complete treatise on Mathematical Analysis

Overview

Topics covered

  • Introduction
  • Differential Calculus: The structure of Continuity
  • The evolution of the concept: historical and epistemological perspective
  • The essential requirement: the rigorous concept of limit
  • Point continuity: formal definition at a point
  • 3.1 Unilateral continuity

Related concepts

Main connections

  • Calculus & differentiation
  • Bayes' theorem & priors
  • Supervised machine learning

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

limx→cf(x)=L
View LaTeX source\lim_{x \to c} f(x) = L