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Book contents
- Frontmatter
- Contents
- Foreword
- Preface
- Part I Variational principles in mathematical physics
- Part II Variational principles in geometry
- Part III Variational principles in economics
- 13 Mathematical preliminaries
- 14 Minimization of cost-functions on manifolds
- 15 Best approximation problems on manifolds
- 16 A variational approach to Nash equilibria
- 17 Problems to Part III
- Appendix A Elements of convex analysis
- Appendix B Function spaces
- Appendix C Category and genus
- Appendix D Clarke and Degiovanni gradients
- Appendix E Elements of set-valued analysis
- References
- Notation index
- Subject index
13 - Mathematical preliminaries
from Part III - Variational principles in economics
Published online by Cambridge University Press: 05 June 2013
- Frontmatter
- Contents
- Foreword
- Preface
- Part I Variational principles in mathematical physics
- Part II Variational principles in geometry
- Part III Variational principles in economics
- 13 Mathematical preliminaries
- 14 Minimization of cost-functions on manifolds
- 15 Best approximation problems on manifolds
- 16 A variational approach to Nash equilibria
- 17 Problems to Part III
- Appendix A Elements of convex analysis
- Appendix B Function spaces
- Appendix C Category and genus
- Appendix D Clarke and Degiovanni gradients
- Appendix E Elements of set-valued analysis
- References
- Notation index
- Subject index
Summary
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- Type
- Chapter
- Information
- Variational Principles in Mathematical Physics, Geometry, and EconomicsQualitative Analysis of Nonlinear Equations and Unilateral Problems, pp. 267 - 277Publisher: Cambridge University PressPrint publication year: 2010