Stirling's approximation

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Taylor Polynomials: Correction Term

Explores the correction term in Taylor polynomials, showcasing its role in refining function approximations.

Stirling's formula: Euler's integral and Gaussian integral

Explores Stirling's formula, Euler's integral, and the Gaussian integral for estimating n factorial.

Gamma Function and Stirling's Approximation: Mathematical Methods

Discusses the gamma function, its properties, and Stirling's approximation for large factorials, emphasizing their significance in mathematical methods for physics.

Taylor Approximation: Extrema in Multivariable Functions

Covers Taylor approximation and extrema in multivariable functions with examples.

Taylor's approximation: Mean Value Theorem, l'Hopital rule, Examples

Covers the Mean Value Theorem, l'Hopital rule, Taylor's approximation, and more.

Taylor Series: Derivatives and Integrals

Explores Taylor series expansions for derivatives and integrals, with a focus on multiple derivatives and error terms.

Taylor Series: Approximating Functions with Polynomials

Explores approximating functions with polynomials using Taylor series and discusses the convergence of series representations.

Approximating Functions with Taylor Series

Explores approximating functions with Taylor series, showcasing step-by-step calculations and practical applications.

Advanced Analysis I - Taylor's Formula Corollary

Explores the corollary of Taylor's formula for function approximation around a point.

Developing Limit Concepts

Explores developing limits using Taylor series for function approximations and understanding functions with derivatives approaching zero.