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Optimal Transport and Applications to Geometric Optics Cristian E. Gutiérrez

Name: Optimal Transport and Applications to Geometric Optics Cristian E. Gutiérrez
SKU: BELL-54801624
Price: 31.00 USD
Availability: InStock
Rating: 4 (16 reviews)

SKU: BELL-54801624

$ 31.00 ~~$ 45.00~~ (-31%)

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16 reviews

Optimal Transport and Applications to Geometric Optics Cristian E. Gutiérrez instant download after payment.

Publisher: Springer

File Extension: PDF

File size: 3.71 MB

Pages: 140

Author: Cristian E. Gutiérrez

ISBN: 9789819948673, 9819948673

Language: English

Year: 2023

Product desciption

Optimal Transport and Applications to Geometric Optics Cristian E. Gutiérrez by Cristian E. Gutiérrez 9789819948673, 9819948673 instant download after payment.

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.