Functional Analysis and Applied Optimization in Banach Spaces

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Focusing on the foundational aspects of real and functional analysis, this book covers essential topics like the calculus of variations, convex analysis, and optimization, tailored for applications in physics and engineering. It delves into both introductory and advanced measure and integration concepts, introducing Sobolev spaces. The text addresses nonlinear problems with non-convex formulations, highlighting the relationship between primal and dual solutions. While aimed at applied mathematicians, it also appeals to engineers, physicists, and researchers in related disciplines.