Mathematical Foundations · Differential Calculus

Differential Calculus · Local Approximation and Taylor Series

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Mathematical analysis · Differential calculus

Overview

Topics covered

  • Introduction
  • Local approximation and Taylor series
  • Linear approximation and contact geometry
  • Mean value theorems as analytical support
  • Taylor's Theorem and its multiple forms of the remainder
  • 1. The asymptotic Peano remainder

Related concepts

Main connections

  • Calculus & differentiation
  • Linear algebra & matrices
  • Binomial distribution
  • Decision thresholds & cost curves

Compatible notation

Mathematical sample in LaTeX

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

f'(a)=limh→0f(a+h)−f(a)h.
View LaTeX sourcef'(a) = \lim_{h \to 0} \frac{f(a+h) - f(a)}{h}.