Vector Analysis: Applications and Operators

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Related lectures (32)

Page 1 of 4

Differential Operators: Vector Analysis

Covers differential operators, vector analysis, Fourier analysis, and potential fields with applications to gravity.

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Differential Operators: Gradient and Divergence

Introduces differential operators, gradient, and divergence in vector fields.

Differential Operators: Theorems and Proofs

Covers the concept of differential operators and presents theorems and proofs related to scalar and vector fields.

Geometrical Aspects of Differential Operators

Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.

Fourier Analysis and PDEs

Explores Fourier analysis, PDEs, historical context, heat equation, Laplace equation, and periodic boundary conditions.

Differential Operators: Notation and Terminology

Covers the basics of differential operators and derivatives for n-tuples and vector fields.

Fourier Analysis: Applications and Inversion Formula

Explores Fourier analysis applications and the inversion formula in the context of periodicity and continuous functions.

Divergence: Vector Calculus

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

Tensor Transformations

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