Functional Analysis and Applied Optimization in Banach Spaces - Applications to Non-Convex Variational Models (Paperback, Softcover reprint of the original 1st ed. 2014)

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. The book 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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Release date:	August 2016
First published:	2014
Authors:	Fabio Botelho
Dimensions:	235 x 155 x 36mm (L x W x T)
Format:	Paperback
Pages:	560
Edition:	Softcover reprint of the original 1st ed. 2014
ISBN-13:	978-3-319-38206-7
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
LSN:	3-319-38206-3
Barcode:	9783319382067

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