Concept
Singularity theory
Related lectures (59)
Complex Analysis: Laurent Series
Explores Laurent series in complex analysis, emphasizing singularities, residues, and the Cauchy theorem.
Trigonometric Integrals: Residues Method
Covers the calculation of integrals using the residues method and discusses singularities, poles, and examples.
Analyse IV: Laurent Series and Singularities
Covers Laurent series, singularities, and meromorphic functions, addressing convergence, holomorphicity, and residue theorem applications.
Spatial Curves: Intersections and Singularities
Explores spatial curves, focusing on intersections and singularities in architectural contexts.
Unclosed Curves Integrals
Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.
Convergence and Poles: Analyzing Complex Functions
Covers the analysis of complex functions, focusing on convergence and poles.
Optimization Theorem: Lagrange and Integrals
Explores Lagrange's optimization theorem, integration bounds transformation, and singularity removal.
Numerical Methods for Physics: Iterative Solutions and Mesh Convergence
Explores finite differences for solving linear systems from PDEs iteratively, emphasizing convergence criteria and exercises on singularities.
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.