Generalized Integral and Main Value

Related lectures (30)

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Discusses the residue theorem and its applications in complex analysis, including integral calculations and Laurent series.

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

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

Covers the proof of the explicit formula for the non-vanishing of the zeta function at the 1-line.

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

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

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

Provides an overview of complex analysis, focusing on derivatives, integrals, and the Cauchy theorem.

Discusses Laurent series and the residue theorem in complex analysis, providing examples and applications for evaluating complex integrals.

Discusses complex integration techniques for calculating Fourier transforms and introduces the Laplace transform's applications.