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Sinopsis
This book concerns the theory of optimal transport (OT) and its applications to solving problems in geometric optics. It is a self-contained presentation including a detailed analysis of the Monge problem, the Monge-Kantorovich problem, the transshipment problem, and the network flow problem. A chapter on Monge-Ampère measures is included containing also exercises. A detailed analysis of the Wasserstein metric is also carried out. For the applications to optics, the book describes the necessary background concerning light refraction, solving both far-field and near-field refraction problems, and indicates lines of current research in this area.
Researchers in the fields of mathematical analysis, optimal transport, partial differential equations (PDEs), optimization, and optics will find this book valuable. It is also suitable for graduate students studying mathematics, physics, and engineering. The prerequisites for this book include a solid understanding of measure theory and integration, as well as basic knowledge of functional analysis.
"Sinopsis" puede pertenecer a otra edición de este libro.
Acerca del autor
Dr. Cristian E. Gutierrez is a Professor at Temple University. His research areas include partial differential equations, geometric optics, optimal transport, and electromagnetism. He is a Fellow of the American Mathematical Society, a Member of the Academy of Sciences of Argentina, and a Member of the Academy of Sciences of the University of Bologna, Italy.
De la contraportada
This book concerns the theory of optimal transport (OT) and its applications to solving problems in geometric optics. It is a self-contained presentation including a detailed analysis of the Monge problem, the Monge-Kantorovich problem, the transshipment problem, and the network flow problem. A chapter on Monge-Ampère measures is included containing also exercises. A detailed analysis of the Wasserstein metric is also carried out. For the applications to optics, the book describes the necessary background concerning light refraction, solving both far-field and near-field refraction problems, and indicates lines of current research in this area.
Researchers in the fields of mathematical analysis, optimal transport, partial differential equations (PDEs), optimization, and optics will find this book valuable. It is also suitable for graduate students studying mathematics, physics, and engineering. The prerequisites for this book include a solid understanding of measure theory and integration, as well as basic knowledge of functional analysis."Sobre este título" puede pertenecer a otra edición de este libro.
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Optimal Transport and Applications to Geometric Optics (eng)
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Optimal Transport and Applications to Geometric Optics (SpringerBriefs on PDEs and Data Science)
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Optimal Transport and Applications to Geometric Optics
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Berlin Springer Nature Singapore Springer Okt 2023, 2023
ISBN 10: 9819948665
ISBN 13: 9789819948666
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book concerns the theory of optimal transport (OT) and its applications to solving problems in geometric optics. It is a self-contained presentation including a detailed analysis of the Monge problem, the Monge-Kantorovich problem, the transshipment problem, and the network flow problem. A chapter on Monge-Ampère measures is included containing also exercises. A detailed analysis of the Wasserstein metric is also carried out. For the applications to optics, the book describes the necessary background concerning light refraction, solving both far-field and near-field refraction problems, and indicates lines of current research in this area. Researchers in the fields of mathematical analysis, optimal transport, partial differential equations (PDEs), optimization, and optics will find this book valuable. It is also suitable for graduate students studying mathematics, physics, and engineering. The prerequisites for this book include a solid understanding of measure theory and integration, as well as basic knowledge of functional analysis. 137 pp. Englisch. Nº de ref. del artículo: 9789819948666
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Optimal Transport and Applications to Geometric Optics (SpringerBriefs on PDEs and Data Science)
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Optimal Transport and Applications to Geometric Optics (SpringerBriefs on PDEs and Data Science)
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Optimal Transport and Applications to Geometric Optics (SpringerBriefs on PDEs and Data Science)
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Optimal Transport and Applications to Geometric Optics
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Springer Nature Singapore, 2023
ISBN 10: 9819948665
ISBN 13: 9789819948666
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Kartoniert / Broschiert. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Explores the connection between optimal transport and geometric optics, focusing on the design of free-form lensesOffers self-contained presentation, with detailed explanations and full proofs of the theorems and resultsLeverages optimal tr. Nº de ref. del artículo: 895961433
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Optimal Transport and Applications to Geometric Optics
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book concerns the theory of optimal transport (OT) and its applications to solving problems in geometric optics. It is a self-contained presentation including a detailed analysis of the Monge problem, the Monge-Kantorovich problem, the transshipment problem, and the network flow problem. A chapter on Monge-Ampère measures is included containing also exercises. A detailed analysis of the Wasserstein metric is also carried out. For the applications to optics, the book describes the necessary background concerning light refraction, solving both far-field and near-field refraction problems, and indicates lines of current research in this area. Researchers in the fields of mathematical analysis, optimal transport, partial differential equations (PDEs), optimization, and optics will find this book valuable. It is also suitable for graduate students studying mathematics, physics, and engineering. The prerequisites for this book include a solid understanding of measure theory and integration, as well as basic knowledge of functional analysis. Nº de ref. del artículo: 9789819948666
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Optimal Transport and Applications to Geometric Optics
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Springer, Springer Dez 2023, 2023
ISBN 10: 9819948665
ISBN 13: 9789819948666
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Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book concerns the theory of optimal transport (OT) and its applications to solving problems in geometric optics. It is a self-contained presentation including a detailed analysis of the Monge problem, the Monge-Kantorovich problem, the transshipment problem, and the network flow problem. A chapter on Monge-Ampère measures is included containing also exercises. A detailed analysis of the Wasserstein metric is also carried out. For the applications to optics, the book describes the necessary background concerning light refraction, solving both far-field and near-field refraction problems, and indicates lines of current research in this area.Researchers in the fields of mathematical analysis, optimal transport, partial differential equations (PDEs), optimization, and optics will find this book valuable. It is also suitable for graduate students studying mathematics, physics, and engineering. The prerequisites for this book include a solid understanding of measure theory and integration, as well as basic knowledge of functional analysis.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 148 pp. Englisch. Nº de ref. del artículo: 9789819948666
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