Related lectures (46)
Laurent Series: Singularities and Convergence
Explores Laurent series, singularities, convergence, residues, and analytic functions with practical examples and calculations.
Algebraic Curves: Normalization
Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.
Unclosed Curves Integrals
Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.
Analyse IV: Laurent Series and Singularities
Covers Laurent series, singularities, and meromorphic functions, addressing convergence, holomorphicity, and residue theorem applications.
Trigonometric Integrals: Residues Method
Covers the calculation of integrals using the residues method and discusses singularities, poles, and examples.
Complex Analysis: Laurent Series
Explores Laurent series in complex analysis, emphasizing singularities, residues, and the Cauchy theorem.
Spatial Curves: Intersections and Singularities
Explores spatial curves, focusing on intersections and singularities in architectural contexts.
Frobenius Method: General Case of Regular Singular Point
Explores deriving a second solution using the Frobenius series in differential equations.
Frobenius Method: General Case of Regular Singular Point
Explores the Frobenius method for regular singular points in ODEs, emphasizing the nature of roots and deriving solutions.
Residual Theorem: Cauchy
Covers the residual theorem from Cauchy, focusing on simple closed curves and holomorphic functions.

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