Mathematical Foundations · Multivariable Calculus

Multivariable Calculus · Functions, Limits, and Continuity

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Advanced mathematical analysis · Multivariable calculus

Overview

Topics covered

  • Introduction
  • Multivariable Calculus
  • Topology of Euclidean spaces
  • Real and vector functions of vector variables
  • Analytical representation and component functions
  • Analytic definition domain

Related concepts

Main connections

  • Calculus & differentiation
  • Skewness & kurtosis
  • Conditional probability & independence
  • Supervised machine learning
  • Linear algebra & matrices

Compatible notation

Mathematical sample in LaTeX

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

ℝn=ℝ×ℝ×…×ℝ={𝐱=(x1,x2,…,xn):xi∈ℝ,∀i∈{1,…,n}}.
View LaTeX source\R^n = \R \times \R \times \dots \times \R = \{ \boldx = (x_1, x_2, \dots, x_n) : x_i \in \R, \, \forall i \in \{1, \dots, n\} \}.