Vector Analysis: Fundamentals and Applications

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (27)

Page 1 of 3

Vectors: Definitions and Operations

Introduces vector definitions, displacement, addition, and applications in geometry.

Untitled

Orthogonality and Least Squares Method

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Differential Operators: Vector Analysis

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

Linear Lie Groups: Definitions and Theorems

Discusses linear Lie groups, their definitions, properties, and the relationship between integral curves and vector fields.

Euclidean Spaces: Properties and Concepts

Covers the properties of Euclidean spaces, focusing on R^n and its applications in analysis.

Analytical Geometry: Vectors

Introduces the basics of analytical geometry, emphasizing vector representation, operations, and applications in geometry.

Continuum Mechanics: Theory and Applications

Covers the basics of continuum mechanics, including constitutive laws, stress, dynamics, and fluid motion.

Scalar Products in 2D and 3D Geometry

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

Geometrical Aspects of Differential Operators

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