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Variational principles in mathematical physics, geometry, and economics : qualitative analysis of nonlinear equations and unilateral problems
Kristály, Alexandru ; Rǎdulescu, Vicenţiu, 1958- ; Varga, Csaba, 1959-
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 many figures to illustrate the abstract concepts. Its extensive bibliography, glossary and index also make this a valuable reference for researchers working in a variety of fields who are interested in partial differential equations and functional analysis.
Type of material - scientific monograph
Publication and manufacture - Cambridge [etc.] : Cambridge University Press, cop. 2010
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