Intro -- Introduction -- Smooth manifolds and F-smooth spaces -- Smooth manifolds -- F-smooth spaces -- F-smooth spaces -- F-smooth subspaces -- F-smooth maps -- Cartesian product of F-smooth spaces -- Smooth manifolds as F-smooth spaces -- Systems of maps -- Smooth systems of smooth maps -- Smooth systems of smooth maps -- Smooth structure of (bold0mu mumu SSSSSS,) -- Smooth tangent prolongation of (bold0mu mumu SSSSSS, ) -- F-smooth systems of smooth maps -- F-smooth systems of smooth maps -- F-smooth tangent prolongation of (bold0mu mumu SSSSSS, ) -- F-smooth vs smooth systems of maps -- Systems of sections -- Smooth systems of smooth sections -- Smooth systems of smooth sections -- Smooth structure of (bold0mu mumu SSSSSS,,) -- Smooth lifted fibred manifold -- F-smooth systems of smooth sections -- F-smooth systems of smooth sections -- F-smooth structure of bold0mu mumu SSSSSS -- F-smooth tangent prolongation of (bold0mu mumu SSSSSS, , ) -- F-smooth differential operators -- F-smooth vs smooth systems of sections -- Systems of connections -- Smooth systems of smooth connections -- Smooth systems of smooth connections -- Smooth universal connection -- F-smooth systems of connections -- F-smooth connections -- F-smooth connections -- F-smooth connections in the linear case -- Applications -- Introduction to Covariant Quantum Mechanics -- System of observed quantum connections -- Quantum dynamics -- F-smooth sectional quantum fibred set -- F-smooth sectional quantum bundle -- The pre-Hilbert sectional quantum bundle -- Schr�odinger connection -- List of Symbols -- Index -- Bibliography.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2022. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.