Linear Quantum Calculus in Dirac Notation

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Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Covers the properties of vectors, including commutativity, distributivity, and linearity.

Covers the postulates of Quantum Mechanics and examples with quantum bits, including observables and unitary matrices.

Covers historical thermodynamics, continuity equations, state functions, and Cartesian products in scalar and vectorial forms.

Covers state vectors, Dirac notation, inner product, eigenvectors, and operators in quantum physics.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.

Explores the postulates of Quantum Mechanics, emphasizing the state of a system as a complex-valued vector in a Hilbert space.

Explores indicial notation, vectors, and the transformation law in the context of mass flux density.