Lectures related to Infinite set

Explores the existence of an infinite number of complex numbers z.

Explores the dimension of Bernoulli convolutions, discussing fair tosses and polynomial roots.

Explores the theory of images, equivalence principle, conductors, duality, and uniqueness in electromagnetism with practical examples.

Explores Fourier modes in Quantum Field Theory, emphasizing variables transforming well under translations and the normalization of states.

Introduces the Euler product and Perron's formula in arithmetic functions.

Covers the spectral theorem, focusing on the second part and orthonormal sequences in a separable Hilbert space.