Implicit Functions: Analysis II

Related lectures (30)

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Explores implicit differentiation and the Implicit Function Theorem for finding unique local functions.

Explores the capstan effect and presents experiments to validate related equations.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Covers Lorentz transformations, Maxwell equations, and charge conservation in Lorentz invariant physics.

Explores fundamental cosmological puzzles related to dark matter and energy.

Explores solving displacement field by point forces using Green's functions and integration process to obtain total solution.

Covers the Finite Volume Method for numerical flow simulation, including conservation equations, discretization methods, and boundary conditions.

Discusses the Implicit Function Theorem and its application to tangent planes and derivatives.

Explores the Duffour effect, the Soret effect, and thermophoresis under various experimental conditions.

Explains the Implicit Functions Theorem for n=2 and n=3 cases.