Stationary Points in Analytical Functions

Related lectures (27)

Page 1 of 3

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

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Covers the conditions for finding absolute extrema in multivariable functions.

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

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

Explores holomorphic functions, Cauchy-Riemann conditions, and principal argument values in complex analysis.

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

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

Explores critical points in finite solutions, emphasizing isolated points and their significance.

Explores Taylor series, function properties, inflection points, and critical points in graphical and mathematical contexts.