Fundamental Solutions

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Related lectures (31)

Page 3 of 4

Differential Functions: Definitions and Notations

Covers the definition of differentiable functions and introduces the concept of differential functions.

Differential Forms on Manifolds

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Tensor Transformations

Introduces tensor transformations, rotation matrices, and differential operators in mechanics.

Harmonic Forms: Main Theorem

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Power Systems Dynamics: Stability and Behavior

Explores transient stability in power systems, covering synchronous machine synchronism after disturbances, voltage stability, and power flow calculations.

Numerical Methods: Runge-Kutta Approximation

Covers the Runge-Kutta method for approximating solutions of differential equations.

Fourier Series and Equations

Covers Fourier series, periodic functions, and Fourier transforms.

Banach Spaces and Unique Solutions

Explores Banach spaces and the uniqueness of solutions in differential equations, emphasizing continuity and local behavior.

Weingarten Application of Regular Surfaces

Covers the application of the Weingarten map on regular surfaces and the shape operator.

Divergence: Vector Calculus

Covers the concept of divergence in vector calculus and its computation with examples.