Functional analysis in mechanics

This book covers functional analysis and its applications to continuum mechanics. The mathematical material is treated in a non-abstract manner and is fully illuminated by the underlying mechanical ideas. The presentation is concise but complete, and is intended for specialists in continuum mechanics who wish to understand the mathematical underpinnings of the discipline. Graduate students and researchers in mathematics, physics, and engineering will find this book useful. Exercises and examples are included throughout with detailed solutions provided in the appendix.

* Metric Spaces * Elements of theory of operators * Elements of nonlinear functional analysis * Hints for selected problems

This is a self-contained book that covers the foundations of functional analysis while introducing the essential topics of the chosen applications. Graduate level students in mathematics and engineering will find the text useful.