Change of Variables in Multiple Integrals

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Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

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Explores changing coordinates, bijective functions, Jacobian matrices, and reciprocal functions in analysis.

Covers the inverse function theorem, Jacobian matrix, injective functions, bijective functions, and spherical coordinates.

Explores center of mass calculation in mechanics, emphasizing system symmetry and spherical coordinates for simplifying calculations.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

Explains surface integrals, parameterization, and regularity of surfaces.