Mathematical Foundations · Multivariable Calculus

Multivariable Calculus · Special Functions and Parametric Integrals

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Advanced Mathematical Analysis · Multivariable Methods

Overview

Topics covered

  • Introduction
  • Multivariable Calculus: Special Functions and Parametric Integrals
  • Fundamental Theorems of Parametric Integration (Leibniz's Rule)
  • Extension to Improper Integrals
  • Euler's Gamma Function
  • Analytical Extension in the Complex Plane

Related concepts

Main connections

  • Calculus & differentiation
  • Normal (Gaussian) distribution
  • Residual analysis & diagnostics
  • Measure theory & Lebesgue integration
  • Bayes' theorem & priors
  • Linear algebra & matrices

Compatible notation

Mathematical sample in LaTeX

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

I(y)=∫abf(x,y)dx.
View LaTeX sourceI(y) = \int_a^b f(x, y) \dd x.