Functional Analysis and Applied Optimization in Banach Spaces

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Focusing on real and functional analysis, the book covers essential topics such as calculus of variations, convex analysis, and optimization, crucial for applications in physics and engineering. It delves into both introductory and advanced concepts of measure, integration, and Sobolev spaces. The text addresses nonlinear problems with non-convex variational formulations, highlighting cases where primal global minima may not be achieved, and emphasizes the dual approach for facilitating numerical computations. It appeals to applied mathematicians as well as engineers and physicists.