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Methods of Functional Analysis for Application in Solid Mechanics
About this book
Publications oriented to the interests of engineering scientists and graduate students on topics of functional analysis and its applications are rare - this book has been written to fill the gap in the literature. It provides a readable account of basic mathematic topics, with illustrative examples and chapters devoted to finite elements, variational principles of elasticity and plasticity, variational inequalities and elastic stability. The text is entirely self-contained and covers a wide range of topics and ideas, from elementary concepts to modern theories and applications, and includes numerous references. It is written for engineers, graduate students and researchers who need a general knowledge of modern mathematical methods in solid mechanics.
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Yes, you can access Methods of Functional Analysis for Application in Solid Mechanics by J. Mason in PDF and/or ePUB format, as well as other popular books in Mathematics & Functional Analysis. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Front Cover
- Methods of Functional Analysis for Application in Solid Mechanics
- Copyright Page
- Table of Contents
- IMPORTANT MATHEMATICAL SYMBOLS AND NOTATIONS
- PREFACE
- INTRODUCTION
- Chapter 1. Review of basic notions and concepts of analysis
- Chapter 2. Function spaces: a basic summary
- Chapter 3. Linear operators and functionals
- Chapter 4. Sobolev spaces and boundary value problems
- Chapter 5. Variational methods and convex analysis
- Chapter 6. Discrete solutions of variational boundary value problems - the method of finite elements
- Chapter 7. Variational inequalities,
- Chapter 8. Overview of some basic problems in solid mechanics
- Chapter 9. Variational principles and finite element models in elasticity
- Chapter 10. Special applications of variational methods and variational inequalities in elasticity and plasticity
- Chapter 11. Eigenvalue and stability problems
- References
- Index