Variational Principles in Mathematical Physics, Geometry, and Economics: Qualitative Analysis of Nonlinear Equations and Unilateral Problems: 136 . and its Applications, Series Number 136)

Kristály, Alexandru

ISBN 10: 0521117828 / ISBN 13: 9780521117821

Published by Cambridge University Press, 2010

About this Item

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Bibliographic Details

• Title: Variational Principles in Mathematical Physics, Geometry, and Economics: Qualitative Analysis of Nonlinear Equations and Unilateral Problems: 136 . and its Applications, Series Number 136)
• Publisher: Cambridge University Press
• Publication Date: 2010
• Language: English
• ISBN 10: 0521117828
• ISBN 13: 9780521117821
• Binding: Hardcover
• Condition: Good
• Weight: 680.4 grams

About this title

Synopsis

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.

About the Authors

Alexandru Kristály is Associate Professor in the Department of Economics at the University of Babeş-Bolyai in Cluj-Napoca, Romania.

Vicenţiu D. Rădulescu is Professor in the Department of Mathematics at the University of Craiova, Romania.

Csaba Gyorgy Varga is Professor in the Department of Mathematics at the University of Babeş-Bolyai in Cluj-Napoca, Romania.