Lectures related to Volume Calculation of Revolution Bodies

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

Covers the definition and use of coordinate systems and applications in bases and linear equations.

Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

Explores coordinate vector operations, from digitizing points to transforming and manipulating geometric spaces using coordinates.

Explores diffeomorphisms, implicit functions, and coordinate transformations in advanced analysis.

Covers translations, homotheties, and geometric transformations using vectors and matrices.

Covers the Riemann sphere, focusing on its conditions and correlation functions in mathematical and physical contexts.

Covers cylindrical and spherical coordinates, transformations between coordinate systems, and rotations in physics.

Covers coordinate changes, focusing on polar and spherical coordinates and their transformations, determinants, and invertibility.

Explores coordinate changes between polar and Cartesian coordinates, and introduces the spherical coordinate system.

Explores differentiability and coordinate transformations between polar and spherical systems.

Explores geodesy, coordinate transformations, and system design for various locations.

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.

Covers spherical coordinates transformation, bijectivity, and applications in volume calculations.

Covers the basics of linear mapping and coordinate systems.

Delves into modern geometry, covering transformations, isometries, and symmetries.

Covers the transformation of quantifier free formulas into equisatisfiable formulas and reduction to solve modulo arithmetic.

Covers tensor analysis for arbitrary coordinate systems and introduces Christoffel symbols.

Introduces special and general relativity, Einstein equations, and gravitational dynamics.

Explores parametric equations and their dependence on the choice of observation benchmarks.