Extrema of Functions in Several Variables

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Extrema of Functions in Several Variables

Explains extrema of functions in several variables, stationary points, saddle points, and the role of the Hessian matrix.

Nature of Extremum Points

Explores the nature of extremum points in functions of class e² around the point (0,0), emphasizing the importance of understanding their behavior in the vicinity.

Finding Absolute Extrema in Multivariable Functions

Covers the conditions for finding absolute extrema in multivariable functions.

Optimization Techniques: Local and Global Extrema

Discusses optimization techniques, focusing on local and global extrema in functions.

Local Extrema of Functions

Discusses local extrema of functions in two variables around the point (0,0).

Optimization: Local Extrema

Explains how to find local extrema of functions using derivatives and critical points.

Gradient and Taylor Formula

Introduces gradient, Laplacian, Taylor formula, polynomial approximations, extrema, and Taylor series expansions in multiple variables.

Taylor Polynomial in Two Variables

Covers the Taylor polynomial in two variables and the concept of extrema in functions of several variables.

Local Extremum Points Determination

Focuses on determining local extremum points of functions through various examples.

Real Functions: Definitions and Properties

Explores real functions, covering parity, periodicity, and polynomial functions.