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Titlebook: Romanticism in Science; Science in Europe, 1 Stefano Poggi,Maurizio Bossi Book 1994 Springer Science+Business Media Dordrecht 1994 19th cen

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,Geometry and “Metaphysics of Space” in Gauss and Riemann,en as an axiom and formulated in the following terms: “That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles”. (Heath 1956, p. 20)
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0068-0346 of knowledge was decidedly unitary, but, in the period between1790 and 1840, the special emphasis it placed on observation andresearch led to an unprecedented accumulation of data, accompanied bya rapid growth in scientific specialization. An example of thetensions created by this development is to
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Stefano Poggisics under the name of chiral fields [9]. These are maps with values in nonlinear manifolds such as Lie groups, Grassmannians, projective spaces, spheres, Stiefel manifolds, etc; therefore the equations defining these maps are nonlinear. The two-dimensional case can be solved exactly (with the excep
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William R. Woodward,Reinhardt Pestersics under the name of chiral fields [9]. These are maps with values in nonlinear manifolds such as Lie groups, Grassmannians, projective spaces, spheres, Stiefel manifolds, etc; therefore the equations defining these maps are nonlinear. The two-dimensional case can be solved exactly (with the excep
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H. A. M. SneldersExamples include geodesics, harmonic functions, complex analytic mappings between suitable (e.g. Miller) manifolds, the Gauss maps of constant mean curvature surfaces, and harmonic morphisms, these last being maps which preserve Laplace’s equation. The Euler-Lagrange equations for a harmonic map (th
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Examples include geodesics, harmonic functions, complex analytic mappings between suitable (e.g. Miller) manifolds, the Gauss maps of constant mean curvature surfaces, and harmonic morphisms, these last being maps which preserve Laplace’s equation. The Euler-Lagrange equations for a harmonic map (th
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