Lectures related to 4D illusions

Covers the application and proof of the Lagrange theorem in group theory.

Covers the Gradient Young Theorem in the calculus of variations, discussing proofs and applications.

Explores the joint equidistribution of CM points in a coherent manner.

Delves into optical illusions through interactive games, blending art with complex math concepts.

Delves into optical illusions in art and mathematics through interactive games.

Covers Exercise 4 from Series 20, focusing on mathematical problem-solving strategies.

Covers Taylor polynomials and their role in approximating functions in multiple variables.

Introduces the purpose of physics, the role of mathematics, and the importance of observation in understanding natural phenomena.

Presents exam problem examples illustrating the application of mathematical concepts in practical problem-solving.

Delves into the historical challenge of duplicating the cube, exploring construction methods, misattributions, and geometric concepts.

Explains compact sets, convergence, and absolute convergence in real analysis.

Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.

Explores the comparison criterion for series convergence and divergence, with proofs and examples.

Introduces real numbers, their properties, and their significance in analysis.

Covers the concept of elliptic problems and their applications in various scenarios.

Covers the motivation behind the Fourier transform formula, explaining the process step by step.

Covers deriving integrals with parameters and their derivatives, including special cases and proofs.

Explores the Fibonacci sequence, identities, golden ratio, and explicit formulas.

Discusses boundary value problems in 1D and the mathematical principles involved.

Covers optimization problems and techniques to find maximum and minimum values of functions.