Lectures related to Essential singularity

Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.

Explores Laurent series in complex analysis, emphasizing singularities, residues, and the Cauchy theorem.

Essential Singularity and Residue Calculation

Explores essential singularities and residue calculation in complex analysis, emphasizing the significance of specific coefficients and the validity of integrals.

Laplace Transform: Analytic Continuation

Covers the Laplace transform, its properties, and the concept of analytic continuation.

Residue Calculation and Singularities Classification

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

Spatial Curves: Intersections and Singularities

Explores spatial curves, focusing on intersections and singularities in architectural contexts.

Analyse IV: Laurent Series and Singularities

Covers Laurent series, singularities, and meromorphic functions, addressing convergence, holomorphicity, and residue theorem applications.

Residues and Singularities

Covers the calculation of residues, types of singularities, and applications of the residue theorem in complex analysis.

Laurent Series: Singularities and Convergence

Explores Laurent series, singularities, convergence, residues, and analytic functions with practical examples and calculations.

Trigonometric Integrals: Residues Method

Covers the calculation of integrals using the residues method and discusses singularities, poles, and examples.

Dynamics of Singular Riemann Surface Foliations

Explores the dynamics of singular Riemann surface foliations on compact Kähler manifolds.

Dynamics of Singular Riemann Surface Foliations

Explores the dynamics of singular Riemann surface foliations and their intricate behavior.

Dynamics of Singular Riemann Surface Foliations

Explores the dynamics of singular Riemann surface foliations, focusing on vector fields, linear parts, and coordinate changes.

Quantum Field Theory: Lecture 3

Covers the concept of party wavefunctions and the reduction formulae.

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.

Introduction to 3-State Ising Model

Covers the theoretical background and applications of the 3-state Ising model.

Analyzing Poles and Residues

Covers the analysis of poles and residues in complex functions, focusing on the calculation of singularities, poles, and residues.

Riemann Zeta Function

Covers the definition and properties of the Riemann Zeta function, including convergence and singularities.

Convergence and Poles: Analyzing Complex Functions

Covers the analysis of complex functions, focusing on convergence and poles.

Residual Theorem: Cauchy

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