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Vector Analysis: Basics and Applications
Explores the importance of vector analysis in physics and engineering, showcasing its application in various laws and relationships.
Vectors and Tensors: Derivatives and Transformations
Explores gradient, divergence, and integral theorems in vector calculus.
Continuity Equations: Internal Entropy Production
Explores continuity equations and internal entropy production in various coordinate systems, emphasizing scalar functions and vector quantities.
Surface Integrals, Divergence Theorem
Covers surface integrals, divergence theorem, and regular domains in 2D and 3D.
Conformal Ward Identities
Covers the stress tensor, Weyl invariance, and the integral form of conformal Ward identities.
Surface Integrals: Change of Variables
Explores surface integrals, change of variables, and properties of regular surfaces.
Surface Integrals, Divergence Theorem and Stocks' Theorem
Covers surface integrals, the divergence theorem, and Stocks' theorem through examples and analogies.
Differential Operators: Gradient and Divergence
Introduces differential operators, gradient, and divergence in vector fields.