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Optimal transport and applications t...

Gutierrez, Cristian E.

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Optimal transport and applications to geometric optics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Optimal transport and applications to geometric optics/ by Cristian E. Gutiérrez.
Author:	Gutierrez, Cristian E.
Published:	Singapore :Springer Nature Singapore : : 2023.,
Description:	x, 135 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Geometrical optics. -
Online resource:	https://doi.org/10.1007/978-981-99-4867-3
ISBN:	9789819948673

Optimal transport and applications to geometric optics
Gutierrez, Cristian E.

Optimal transport and applications to geometric optics[electronic resource] /by Cristian E. Gutiérrez. - Singapore :Springer Nature Singapore :2023. - x, 135 p. :ill., digital ;24 cm. - SpringerBriefs on PDEs and data science,2731-7609. - SpringerBriefs on PDEs and data science..

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.

ISBN: 9789819948673

Standard No.: 10.1007/978-981-99-4867-3doiSubjects--Topical Terms:

523926
Geometrical optics.

LC Class. No.: QC381

Dewey Class. No.: 535.32

Optimal transport and applications to geometric optics
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245 1 0 $a Optimal transport and applications to geometric optics $h [electronic resource] / $c by Cristian E. Gutiérrez.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2023.
300 $a x, 135 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs on PDEs and data science, $x 2731-7609
520 $a 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.
650 0 $a Geometrical optics. $3 523926
650 0 $a Transportation problems (Programming) $3 888553
650 1 4 $a Optimization. $3 891104
650 2 4 $a Operations Research, Management Science. $3 1532996
650 2 4 $a Classical Optics, Geometric and Wave optics. $3 3538755
650 2 4 $a Differential Equations. $3 907890
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