Covers the basics of quantum physics, including vector spaces, state vectors, operators, and measurements.
Explores the application of linear algebra in quantum mechanics, emphasizing vector spaces, Hilbert spaces, and the spectral theorem.
Explores dependence, correlation, and conditional expectations in probability and statistics, highlighting their significance and limitations.
Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.
Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.
Explains the postulates of quantum mechanics, including system description, evolution, measurement, composite systems, and examples with qubits.
Introduces key concepts in probability and statistics, such as events, Venn diagrams, and conditional probability.
