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Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-convex Variational Models - Rilegato
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?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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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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Functional Analysis and Applied Optimization in Banach Spaces
Editore:
Springer International Publishing, 2014
ISBN 10: 3319060732
ISBN 13: 9783319060736
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Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-Convex Variational Models
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Functional Analysis and Applied Optimization in Banach Spaces
Editore:
Springer International Publishing Jul 2014, 2014
ISBN 10: 3319060732
ISBN 13: 9783319060736
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 580 pp. Englisch. Codice articolo 9783319060736
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Functional Analysis and Applied Optimization in Banach Spaces : Applications to Non-Convex Variational Models
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Springer International Publishing, 2014
ISBN 10: 3319060732
ISBN 13: 9783319060736
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9783319060736
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Functional Analysis and Applied Optimization in Banach Spaces
ISBN 10: 3319060732
ISBN 13: 9783319060736
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Buch. Condizione: Neu. Neuware -¿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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 580 pp. Englisch. Codice articolo 9783319060736
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Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-Convex Variational Models
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Functional Analysis and Applied Optimization in Banach Spaces
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Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-Convex Variational Models
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Hardcover. Condizione: Brand New. 2014 edition. 560 pages. 9.75x6.75x1.50 inches. In Stock. Codice articolo x-3319060732
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Functional Analysis and Applied Optimization in Banach Spaces
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Functional Analysis and Applied Optimization in Banach Spaces
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Condizione: New. PRINT ON DEMAND pp. 580. Codice articolo 18142277756
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