Quantum physics is the most successful description of the physical world we live in. Quantum theoretical predictions have been experimentally tested and confirmed up to the astonishing 14 digits of precision in terms of the anomalous magnetic moment of the electron. The bra-ket notation, composed of angle brackets and vertical bars, enhances the clarity of mathematical operations and improves the comprehension of quantum mechanical expressions. Quantum wave functions participate in interference phenomenona in which two waves superpose to form a resultant wave of greater, lower, or the same amplitude. When a quantum system is measured, it undergoes indeterministic transition that actualizes only one of the states from the set of all physically possible future states of the system. The Hilbert vector space structure of the space of quantum states follows from the linearity of the Schrodinger equation. The quantum state vector and the quantum wave function in a Hilbert space are abstract mathematical concepts that are basis independent.