Variational Principles in Mathematical Physics, Geometry, and Economics: Qualitative Analysis of Nonlinear Equations and Unilateral Problems
(Book #136 in the Encyclopedia of Mathematics and its Applications Series)
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Book Overview
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.
Format:Hardcover
Language:English
ISBN:0521117828
ISBN13:9780521117821
Release Date:October 2010
Publisher:Cambridge University Press
Length:386 Pages
Weight:1.60 lbs.
Dimensions:1.1" x 6.4" x 9.3"
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