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Grupos fundamentales de superficies
Publié 2024“…ABSTRACT: This degree work is focused on the area of Algebraic topology, on the calculation of the fundamental groups of surfaces. …”
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Foundations of Classical Electrodynamics : Charge, Flux, and Metric /
Publié 2003Table des matières: “…Preface y -- Five plus one axioms -- Topological approach -- Electromagnetic spacetime relation as fifth axiom -- Electrodynamics in matter and the sixth axiom -- List of axioms -- A reminder: Electrodynamics in 3-dimensional Euclidean vector calculus -- On the literature -- References -- A Mathematics: Some Exterior Calculus -- Why exterior differential forms? -- A.1 Algebra -- A.2 Exterior calculus -- A.3 Integration on a manifold -- References -- B Axioms of Classical Electrodynamics -- B.1 Electric charge conservation -- B.2 Lorentz force density -- B.3 Magnetic flux conservation -- B.4 Basic classical electrodynamics summarized, example -- B.5 Electromagnetic energy-momentum current and action -- References -- C More Mathematics -- C.1 Linear connection -- C.2 Metric -- References -- D The Maxwell-Lorentz Spacetime Relation -- D.1 A linear relation between H and F -- D.2 Propagation of electromagnetic waves: Quartic wave surface -- D.3 First constraint: Electric/magnetic reciprocity -- D.4 Second constraint: Vanishing skewon field. …”
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