Curvilinear Integrals: Interpretation and Convexity

Related lectures (29)

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

Explores regular curves, examples like segments and functions, and curvilinear integrals along regular curves.

Covers surface integrals with a focus on regular parametrization and the importance of understanding the normal vector.

Explores positive and negative orientation in curves, emphasizing their impact on tangent and normal vectors.

Covers Green's Theorem, transforming 2D integrals into 1D line integrals.

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

Explores the length of continuously differentiable paths using integrals and parametrizations.

Covers the parametrization of vectorial fields and the application of Stokes' theorem.

Covers curvilinear integrals, conservative fields, and Green's Theorem with examples.