Athénaïs: The Life of Louis XIV's Mistress, the Real Queen by Lisa Hilton

By Lisa Hilton

In her great new biography, Hilton chronicles the lifetime of this remarkable girl, referred to as "the genuine Queen of France," who reigned as professional mistress to Louis XIV in the course of the so much wonderful interval of "the ultimate century."

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All second-order equations with rational coefficients. 3. A large number of equations of various orders with rational coefficients. At this stage, the original article by Fuchs that had inspired Poincar´e had disappeared from sight. Poincar´e was creating a completely new area of mathematics, that of automorphic functions, which would soon attract the attention of mathematicians interested in the general theory of complex functions: mathematicians from the school of Riemann. Correspondence with Klein: 1881–1882 The middle of 1881 saw the beginning of an extensive exchange of letters, a total of 26 altogether, with Felix Klein (1849–1925) [Poincar´e 2012], [Poincar´e 1916, Vol.

Those meetings gave him a great deal of ´ pleasure. The Ecole Polytechnique did not lack brilliant and stimulating lecturers, such as Hermite, Laguerre, and Halphen. However, they were not very prominent in a teaching environment geared to the education of officers and engineers. Nonetheless, Henri’s creativity in his first year could not be stopped. In October 1874, his first research paper appeared, and of course its topic was geometry: “D´emonstration nouvelle des propri´et´es de l’indicatrice d’une surface” appeared 22 2 Academic Education: 1873–1879 in Annales de Math´ematiques, 2e s´erie, vol.

It is the study of a group of operations formed by the displacements of a figure without changing its shape. In Euclidean geometry, this group consists of rotations and translations. In the pseudo-geometry of Lobachevsky, it is much more complicated. 3 Automorphic Functions: Contacts with Fuchs and Klein 39 Fig. 6 Felix Klein The first letter of Klein to Poincar´e, on June 12, 1881, contained the news that he had read some of Poincar´e’s papers on Fuchsian functions. Klein went on to describe the sorts of results he had obtained, explaining a number of elementary aspects.

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