Provides an overview of the electron's role in quantum science, focusing on its wave-particle duality and the mathematical framework of quantum mechanics.
Covers elastic scattering of fast electrons and their interactions with matter, including the derivation of the Mott formula and effective refractive index.
Explores the origin, applications, and representations of complex numbers in crystallography and materials science, including their graphical, polar, and exponential forms.
Explains key concepts in probability, including conditional probability, independence, and random variables, with practical examples to illustrate their applications.