Singularity theory

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Related lectures (32)

Laurent Series: Analysis and Applications

Explores Laurent series, regularity, singularities, and residues in complex analysis.

Residue Theorem: Calculating Integrals on Closed Curves

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

Thermodynamic Formalism for Dispersing Billiards

Explores the geometry and statistical properties of dispersing billiards, aiming to extend the analysis to equilibrium states and covering topics like hyperbolicity and distortion control.

Residual Theorem: Cauchy

Covers the residual theorem from Cauchy, focusing on simple closed curves and holomorphic functions.

Uneigentliche Integrale: Singularities and Infinite Integration Intervals

Covers improper integrals with singularities and infinite intervals.

Principal Value of an Integral: Examples

Covers examples of principal value of an integral with sin functions and singularities.

Residues Theorem Applications

Explores applications of the residues theorem in various scenarios, with a focus on Laurent series development.

Concavity and Convexity: Analysis of Functions

Explores concavity, convexity, critical points, and singularities in functions.

Residues Theorem

Explores the Residues Theorem and the classification of holomorphic functions.

Residue Calculation and Singularities Classification

Covers the calculation of residues and the classification of singularities in complex functions.

Bessel Equation: First Frobenius Series Solution around x=0

Explores the Bessel equation solution method and the gamma function properties.

Singularity Functions: Integration Method

Introduces singularity functions to analyze beam bending and calculate shear and bending moments.

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