Mathematical physics : a modern introduction to its foundations

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,...

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Détails bibliographiques
Auteur principal: Hassani, Sadri, 19..-
Format: Livre numérique
Langue:Anglais
Publié: Cham : Springer International Publishing : Imprint: Springer [20..].
Cham : Springer Nature
Édition:2nd ed. 2013.
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Edition sous un autre format:• Mathematical physics, a modern introduction to its foundations, Sadri Hassani, 2013, Cham, Springer, 1 vol. (XXXI-1205 p.), 978-3-319-01194-3
Table des matières:
  • Mathematical Preliminaries
  • I Finite-Dimensional Vector Spaces
  • II Infinite-Dimensional Vector Spaces
  • III Complex Analysis
  • IV Differential Equations
  • V Operators on Hilbert Spaces
  • VI Green's Functions
  • VII Groups and Their Representations
  • VIII Tensors and Manifolds
  • IX Lie Groups and Their Applications
  • X Fiber Bundles