Description: Functional Analysis and Applied Optimization in Banach Spaces : Applications to Non-convex Variational Models, Hardcover by Botelho, Fabio; Ferreira, Anderson (CON); Molter, Alexandre (CON), ISBN 3319060732, ISBN-13 9783319060736, Brand New, Free shipping in the US ?This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physics and engineering problems. Th includes introductory and advanced concepts in measure and integration, as well as an introduction to Sobolev spaces. The problems presented are nonlinear, with non-convex variational formulation. Notably, the primal global minima may not be attained in some situations, in which cases the solution of the dual problem corresponds to an appropriate weak cluster point of minimizing sequences for the primal one. Indeed, the dual approach more readily facilitates numerical computations for some of the selected models. While intended primarily for applied mathematicians, the text will also be of interest to engineers, physicists, and other researchers in related fields.
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Book Title: Functional Analysis and Applied Optimization in Banach Spaces : A
Number of Pages: Xviii, 560 Pages
Language: English
Publication Name: Functional Analysis and Applied Optimization in Banach Spaces : Applications to Non-Convex Variational Models
Publisher: Springer International Publishing A&G
Publication Year: 2014
Subject: Functional Analysis, Numerical Analysis, Mathematical Analysis
Item Weight: 394.6 Oz
Type: Textbook
Author: Fabio Botelho
Item Length: 9.3 in
Subject Area: Mathematics
Item Width: 6.1 in
Format: Hardcover
