Fundamental Mathematical Structures of Quantum Theory

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Focusing on advanced mathematical structures in quantum theory, this textbook offers a thorough exploration of the connections between logic, lattice theory, and probability. Designed for MSc students, it covers essential topics such as von Neumann algebras and the algebraic formulation relevant to quantum mechanics. The text also delves into hidden-variable interpretations, discussing significant results like Gleason's and the Kochen-Specker theorems, and examines concepts of realism and non-contextuality in relation to the Bell inequality.