Lectures related to Optical Illusions: Art and Mathematics

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.

Delves into optical illusions in interactive games, blending art and math.

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.

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.