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Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-Convex Variational Models - Hardcover
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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: Applications to Non-Convex Variational Models
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Functional Analysis and Applied Optimization in Banach Spaces (Hardcover)
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ISBN 13: 9783319060736
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Hardcover. Zustand: new. Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 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: Applications to Non-Convex Variational Models
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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 : Applications to Non-convex Variational Models
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Functional Analysis and Applied Optimization in Banach Spaces
Verlag:
Springer International Publishing Jul 2014, 2014
ISBN 10: 3319060732
ISBN 13: 9783319060736
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Buch. Zustand: 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. Bestandsnummer des Verkäufers 9783319060736
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Functional Analysis and Applied Optimization in Banach Spaces
Verlag:
Springer International Publishing, 2014
ISBN 10: 3319060732
ISBN 13: 9783319060736
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Hardcover
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Functional Analysis and Applied Optimization in Banach Spaces: Applications to Non-Convex Variational Models
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Zustand: New. Functional Analysis and Applied Optimization in Banach Spaces Num Pages: 560 pages, 6 black & white illustrations, 51 colour illustrations, biography. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 242 x 168 x 27. Weight in Grams: 942. . 2014. 2014th Edition. Hardcover. . . . . Bestandsnummer des Verkäufers V9783319060736
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Functional Analysis and Applied Optimization in Banach Spaces
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