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Convex Functional Analysis

2006-03-30 Science
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Release : 2006-03-30
Genre : Science
Kind : eBook
Book Rating : 571/5 ( reviews)

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Book Synopsis Convex Functional Analysis by : Andrew J. Kurdila

Download or read book Convex Functional Analysis written by Andrew J. Kurdila. This book was released on 2006-03-30. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the fundamentals of convex functional analysis. It presents those aspects of functional analysis that are extensively used in various applications to mechanics and control theory. The purpose of the text is essentially two-fold. On the one hand, a bare minimum of the theory required to understand the principles of functional, convex and set-valued analysis is presented. Numerous examples and diagrams provide as intuitive an explanation of the principles as possible. On the other hand, the volume is largely self-contained. Those with a background in graduate mathematics will find a concise summary of all main definitions and theorems.

Convex Analysis

2014-10-20 Mathematics
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Release : 2014-10-20
Genre : Mathematics
Kind : eBook
Book Rating : 38X/5 ( reviews)

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Book Synopsis Convex Analysis by : Steven G. Krantz

Download or read book Convex Analysis written by Steven G. Krantz. This book was released on 2014-10-20. Available in PDF, EPUB and Kindle. Book excerpt: Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics.Convex Analysis introduces

Convex Functions and Their Applications

2018-06-08 Mathematics
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Release : 2018-06-08
Genre : Mathematics
Kind : eBook
Book Rating : 378/5 ( reviews)

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Book Synopsis Convex Functions and Their Applications by : Constantin P. Niculescu

Download or read book Convex Functions and Their Applications written by Constantin P. Niculescu. This book was released on 2018-06-08. Available in PDF, EPUB and Kindle. Book excerpt: Thorough introduction to an important area of mathematics Contains recent results Includes many exercises

Convexity Theory and its Applications in Functional Analysis

2014-06-28 Mathematics
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Release : 2014-06-28
Genre : Mathematics
Kind : eBook
Book Rating : 692/5 ( reviews)

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Book Synopsis Convexity Theory and its Applications in Functional Analysis by : L. Asimow

Download or read book Convexity Theory and its Applications in Functional Analysis written by L. Asimow. This book was released on 2014-06-28. Available in PDF, EPUB and Kindle. Book excerpt: Convexity Theory Appl Functional Analysis

Functional Analysis and Applied Optimization in Banach Spaces

2014-06-12 Mathematics
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Release : 2014-06-12
Genre : Mathematics
Kind : eBook
Book Rating : 740/5 ( reviews)

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Book Synopsis Functional Analysis and Applied Optimization in Banach Spaces by : Fabio Botelho

Download or read book Functional Analysis and Applied Optimization in Banach Spaces written by Fabio Botelho. This book was released on 2014-06-12. Available in PDF, EPUB and Kindle. Book excerpt: ​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.

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