Functional Analysis in Mechanics

This book offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuum mechanics. Abstract but powerful mathematical notions are tightly interwoven with physical ideas i...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Lebedev, Leonid P. (Autor), Vorovich, Iosif I. (Autor), Cloud, Michael J. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2013.
Edición:2nd ed. 2013.
Colección:Springer Monographs in Mathematics,
Temas:
Functional analysis.
Differential equations.
Mechanics.
Mechanics, Applied.
Solids.
Functional Analysis.
Differential Equations.
Classical Mechanics.
Solid Mechanics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Metric, Banach, and Hilbert Spaces
  • Mechanics Problems from the Functional Analysis Viewpoint
  • Some Spectral Problems of Mechanics
  • Elements of Nonlinear Functional Analysis
  • Summary of Inequalities and Imbeddings
  • Hints for Selected Problems
  • References
  • In Memoriam: Iosif I. Vorovich
  • Index.-.

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