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,Vicen?iu D. R?dulescu,Csaba Varga 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.

Information

Publisher

Cambridge University Press

Year

2010

ISBN

9781107265974

Topic

Mathematics

Subtopic

Mathematics General

Index

Mathematics

Cover
Half Title
Series Page
Title
Contents
Foreword
Preface
Part I Variational principles in mathematical physics
Part II Variational principles in geometry
Part III Variational principles in economics
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