Cauchy Equations and Integral Decomposition

Related lectures (28)

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

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Discusses the residue theorem and its applications in calculating complex integrals.

Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.

Explores the Cauchy Theorem and its applications in complex analysis.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers the differentiability of functions of multiple variables and the significance of directional derivatives and gradients.

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Explores the applications of Green's Theorem in 2D, emphasizing the importance of regular domains for successful integration.