<P>This is a book for people who want to use functional analysis to justify approximate methods in Mechanics and Inverse Problems. It provides such researchers with the tools they need without having to assimilate or skip through concepts they do not need. For the applied mathematician, the essentia
Functional Analysis: Applications in Mechanics and Inverse Problems
โ Scribed by L. P. Lebedev, I. I. Vorovich, G. M. L. Gladwell (auth.)
- Publisher
- Springer Netherlands
- Year
- 1996
- Tongue
- English
- Leaves
- 255
- Series
- Solid Mechanics and Its Applications 41
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Front Matter....Pages i-viii
Introduction....Pages 1-18
Introduction to Metric Spaces....Pages 19-62
Energy Spaces and Generalized Solutions....Pages 63-96
Approximation in a Normed Linear Space....Pages 97-136
Elements of the Theory of Linear Operators....Pages 137-162
Compactness and Its Consequences....Pages 163-188
Spectral Theory of Linear Operators....Pages 189-212
Applications to Inverse Problems....Pages 213-232
Back Matter....Pages 233-248
โฆ Subjects
Continuum Mechanics and Mechanics of Materials;Mechanics;Ordinary Differential Equations;Partial Differential Equations;Integral Equations
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This is a book for people who want to use functional analysis to justify approximate methods in Mechanics and Inverse Problems. It provides such researchers with the tools they need without having to assimilate or skip through concepts they do not need. For the applied mathematician, the essential d