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Stirling's approximation

5:03

The Stirling Approximation: a 5-minute Derivation!

13:00

Stirling's Incredible Approximation // Gamma Functions, Gaussians, and Laplace's Method

8:23

Stirling approximation derivation

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Physics 32.5 Statistical Thermodynamics (7 of 39) Stirling's Approximation Explained

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Stirling's Approximation for n! [Proof]

In mathematics, Stirling's approximation is an approximation for factorials. It is a good approximation, leading to accurate results even for small values of n. It is named after James Stirling, though it was first stated by Abraham de Moivre.
  • Derivation 

  • An alternative derivation 

  • Speed of convergence and error estimates 

  • Stirling's formula for the gamma function 

  • A convergent version of Stirling's formula 

  • Versions suitable for calculators 

  • Mentally estimating central effect in the binomial distribution 

  • History