Differential Calculus · Mathematical Foundations and the Real Number System

Introduction

What this guide covers

Introduction Introduction Real Mathematical Analysis · Theory of Real Variable Functions

Overview

Topics covered

• Introduction
• Differential Calculus: Fundamentals and Reals
• Historical perspective and crisis of continuity
• Axiomatic Construction of the Real Number System ( )
• 1. Body Axioms (Algebraic Structure)
• 2. Axioms of Order

Related concepts

Main connections

• Calculus & differentiation
• Bayes' theorem & priors
• Supervised machine learning
• Metric definition & evaluation

Compatible notation

Mathematical sample in LaTeX

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