Functional Analysis in Mechanics

• Main Authors: Lebedev, Leonid P. (Author), Vorovich, Iosif I. (Author), Cloud, Michael J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Edition: 2nd ed. 2013.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Functional analysis.; Differential equations, partial.; Mechanics.; Materials.; Functional Analysis.; Partial Differential Equations.; Continuum Mechanics and Mechanics of Materials.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-5868-5

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...

Table of Contents:

• 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.-.