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Titlebook: Classical Mathematical Physics; Dynamical Systems an Walter Thirring Textbook 1997Latest edition Springer Science+Business Media New York 1

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Analysis on ManifoldsThe intuitive picture of a smooth surface becomes analytic with the concept of a manifold. On the small scale a manifold looks like a Euclidean space, so that infinitesimal operations like differentiation may be defined on it.
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Introduction to Classical Field TheoryElectric and magnetic fields are dynamically interconnected in such a way that an electromagnetic disturbance propagates with a universal velocity in empty space. By studying this phenomenon we gain a qualitative understanding of field radiation and are led to expect analogous gravitational behavior.
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The Electromagnetic Field of a Known Charge DistributionIf the field equations originate from a stationary-action principle, then a conserved current can be constructed for each parameter of an invariance group.
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The Field in the Presence of ConductorsThe superconductor is a simple model of a coupled system of equations for changed matter and an electromagnetic field. As a perfect conductor and diamagnet it excludes all electric and magnetic fields from its interior.
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