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Related lectures (31)
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Implicit Differentiation: Solving Equations Locally
Explores implicit differentiation and the Implicit Function Theorem for finding unique functions locally.
Untitled
Coordinate Change: Polar and Spherical Coordinates
Covers coordinate changes, focusing on polar and spherical coordinates and their transformations, determinants, and invertibility.
Advanced analysis II: volume change and variable transformation
Covers partitioning, integrable functions, variable transformations, and volume change in R².
Coordinate Changes: Polar and Spherical
Explores differentiability and coordinate transformations between polar and spherical systems.
Angular Momentum: Theory and Calculations
Explores angular momentum theory, practical applications, and mathematical calculations in depth.
Untitled
Coordinate Change: Chapter 4
Explores coordinate changes between polar and Cartesian coordinates, and introduces the spherical coordinate system.
Dynamics of Steady Euler Flows: New Results
Explores the dynamics of steady Euler flows on Riemannian manifolds, covering ideal fluids, Euler equations, Eulerisable flows, and obstructions to exhibiting plugs.
Deformable Bodies: Stress Tensors and Divergence Theorem
Explores stress tensors and the divergence theorem in deformable bodies through examples and demonstrations.