Variational Principles in Mathematical Physics, Geometry, and Economics
eBook - PDF

Variational Principles in Mathematical Physics, Geometry, and Economics

Qualitative Analysis of Nonlinear Equations and Unilateral Problems

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Variational Principles in Mathematical Physics, Geometry, and Economics

Qualitative Analysis of Nonlinear Equations and Unilateral Problems

About this book

This comprehensive introduction to the calculus of variations and its main principles also presents their real-life applications in various contexts: mathematical physics, differential geometry, and optimization in economics. Based on the authors' original work, it provides an overview of the field, with examples and exercises suitable for graduate students entering research. The method of presentation will appeal to readers with diverse backgrounds in functional analysis, differential geometry and partial differential equations. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. Since much of the material has a strong geometric flavor, the authors have supplemented the text with figures to illustrate the abstract concepts. Its extensive reference list and index also make this a valuable resource for researchers working in a variety of fields who are interested in partial differential equations and functional analysis.

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Yes, you can access Variational Principles in Mathematical Physics, Geometry, and Economics by Alexandru Kristály,Csaba Varga,Vicenţiu D. Rădulescu in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half Title
  3. Series Page
  4. Title
  5. Contents
  6. Foreword
  7. Preface
  8. Part I Variational principles in mathematical physics
  9. Part II Variational principles in geometry
  10. Part III Variational principles in economics
  11. Appendix A: Elements of convex analysis
  12. Appendix B: Function spaces
  13. Appendix C: Category and genus
  14. Appendix D: Clarke and Degiovanni gradients
  15. Appendix E: Elements of set-valued analysis
  16. References
  17. Notation index
  18. Subject index