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Elargir la recherche       Sur le même sujet :     Physique mathématique     Mathematics.     Mathematical physics.     Physics.     Applied mathematics     Engineering mathematics     Parcourir le catalogue     par auteur:      Hassani , Sadri , 19..-....       Rechercher sur Internet     Localiser dans une autre bibliothèque (SUDOC) (PPN ou ISBN ou ISSN)     Aperçu dans Google Books     Affichage MARC

Auteur :  Hassani , Sadri , 19..-.... Titre :  Mathematical physics : a modern introduction to its foundations , Sadri Hassani Edition :  2nd ed. 2013. Editeur :  Cham : Springer International Publishing : Imprint: Springer , 2013 ISBN:  978-3-319-01195-0 Notes :  Bibliogr. Index Description d'après la consultation, 2021-03-03 La pagination de l'édition imprimée correspondante est de : XXXI-1205 pages L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition The goal of this book is to expose the reader to the indispensable role that mathematics---often very abstract---plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second half of the book introduces groups, manifolds, Lie groups and their representations, Clifford algebras and their representations, and fiber bundles and their applications to differential geometry and gauge theories. This second edition is a substantial revision of the first one with a complete rewriting of many chapters and the addition of new ones, including chapters on algebras, representation of Clifford algebras and spinors, fiber bundles, and gauge theories. The spirit of the first edition, namely the balance between rigor and physical application, has been maintained, as is the abundance of historical notes and worked out examples that demonstrate the "unreasonable effectiveness of mathematics" in modern physics. Einstein has famously said, "The most incomprehensible thing about nature is that it is comprehensible." What he had in mind was reiterated in another one of his famous quotes concerning the question of how " ... mathematics, being after all a product of human thought, is so admirably appropriate to the objects of reality." It is a question that comes to everyone's mind when encountering the highly abstract mathematics required for a deep understanding of modern physics. It is the experience that Eugene Wigner so profoundly described as "the unreasonable effectiveness of mathematics in the natural sciences Nécessite un lecteur de fichier PDF Sujet :  Physique mathématique Mathematics. Mathematical physics. Physics. Applied mathematics Engineering mathematics   Exemplaires Pas de données exemplaires

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