Functional Analysis in Mechanics

• Κύριοι συγγραφείς: Lebedev, Leonid P. (Συγγραφέας), Vorovich, Iosif I. (Συγγραφέας), Cloud, Michael J. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2013.
• Έκδοση: 2nd ed. 2013.
• Σειρά: Springer Monographs in Mathematics,
• Θέματα: Mathematics.; Functional analysis.; Partial differential equations.; Mechanics.; Continuum mechanics.; Functional Analysis.; Partial Differential Equations.; Continuum Mechanics and Mechanics of Materials.

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...

Πίνακας περιεχομένων:

• 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.-.