Conformal Applications: Theory and Examples

Related lectures (35)

Explores conformal transformations, including holomorphic functions and Moebius transformations.

Explores the theory and applications of conformal transformations, covering special conformal transformations and isomorphic transformations.

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

Discusses holomorphic functions, focusing on the Cauchy-Riemann equations and their applications in complex analysis.

Introduces complex analysis, focusing on holomorphic functions and the Cauchy-Riemann equations.

Explores translations and homotheties, discussing their properties and practical applications in preserving geometric characteristics.

Explores linear algebra fundamentals, including key definitions, theorems, and practical applications in mathematics and technology.

Discusses complex integration and Cauchy's theorem, focusing on integrals along curves in the complex plane.

Covers the definitions and properties of transformations of the plane.

Covers linear applications, matrices, transformations, and the principle of superposition.

Covers translations, homotheties, and geometric transformations using vectors and matrices.

Covers the applications of the Residue theorem in evaluating complex integrals related to real analysis.

Covers the fundamentals of complex analysis, focusing on complex functions, their properties, and applications in solving differential equations.

Explores the intersection multiplicity of curves and the absence of common tangent lines.

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Page 2 of 2