Vector field

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Related lectures (31)

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Vector Fields: Gradient and Divergence

Covers vector fields, gradient, divergence, heat flux, and stress tensors.

Tensors and Lorentz Transformations

Covers tensors, Lorentz transformations, and electrodynamics in relativistic notation.

Elements of Lie Groups and Algebras

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Curves: Parameterized Curves and Tangent Vectors

Explores the definition of curves, parameterized curves, and tangent vectors in relation to open intervals and continuous functions.

Parametric Curves - Introduction

Introduces parametric curves and discusses tangent vectors and symmetry properties.

Vector Fields

Explains vector fields as derivations and their algebraic structure in Lie algebra.

Understanding Positive and Negative Orientation in Curves

Explores positive and negative orientation in curves, emphasizing their impact on tangent and normal vectors.

Vector Calculus: Line Integrals

Covers the concept of line integrals and their application in vector fields.

Electric Field Representation

Introduces electrostatics, focusing on Coulomb's force, electric field representation, superposition principle, and visualization of electric field vectors using field lines.

Connections: motivation and definition

Explores the definition of connections for smooth vector fields on manifolds.