书目名称 | Optimal Transport and Applications to Geometric Optics | 编辑 | Cristian E. Gutiérrez | 视频video | | 概述 | Explores the connection between optimal transport and geometric optics, focusing on the design of free-form lenses.Offers self-contained presentation, with detailed explanations and full proofs of the | 丛书名称 | SpringerBriefs on PDEs and Data Science | 图书封面 |  | 描述 | .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.. | 出版日期 | Book 2023 | 关键词 | Monge-Kantorovich problem; Wasserstein distance; Kantorovich-Rubinstein duality; Monge-Ampère equation; | 版次 | 1 | doi | https://doi.org/10.1007/978-981-99-4867-3 | isbn_softcover | 978-981-99-4866-6 | isbn_ebook | 978-981-99-4867-3Series ISSN 2731-7595 Series E-ISSN 2731-7609 | issn_series | 2731-7595 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
The information of publication is updating
|
|