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Vector Analysis: Fundamentals and Applications
Covers fundamental concepts of vector analysis and their applications in science and engineering.
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Vector Analysis: Second Class
Covers the mathematical operations in vector fields and their applications.
Vector Fields: Gradient and Divergence
Covers vector fields, gradient, divergence, heat flux, and stress tensors.
Vector Calculus Review: Maxwell Equations
Covers a review of vector calculus and the Maxwell equations in electromagnetism.
Vector Analysis: Applications and Operators
Explores vector fields, potentials, Fourier analysis, and differential operators in scalar fields.
Vector Transformation and Tense
Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.
Scalar Products in 2D and 3D Geometry
Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.
Orthogonality and Least Squares Method
Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.