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EDP SCIENCES Variétés différentielles, physique et invariants topologiques

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Description

Après une présentation des outils mathématiques, nous développons dans ce livre deux applications importantes : la mécanique analytique et la relativité générale, qui, toutes deux, utilisent les concepts de la géométrie riemannienne. Partant de connaissances élémentaires, l'ouvrage propose un parcours singulier autour des variétés différentielles et des espaces fibrés, en privilégiant les applications et en négligeant volontairement les démonstrations trop techniques. Il ouvre de vastes perspectives, et introduit des méthodes comme celles de l'algèbre homologique ou de la théorie de l'indice, qui ont été au coeur des résultats les plus récents. Il s'appuie sur la longue expérience d'enseignement de l'auteur auprès d'étudiants en master et de futurs ingénieurs ou physiciens. C'est à eux que l'ouvrage s'adresse en priorité, ainsi qu'à tous ceux qui cherchent un formalisme puissant pour comprendre la physique contemporaine. Des éléments bibliographiques complètent l'ouvrage laissant au lecteur le loisir d'approfondir quelques-uns des plus beaux thèmes de ce vaste territoire, qui est au coeur des préoccupations scientifiques d'aujourd'hui.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
08 June 2023
Listed Since
21 January 2023

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