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Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling: 87 (Progress in Nonlinear Differential Equations and Their Applications) - Tapa dura
Sinopsis
THIS MONOGRAPH PRESENTS A RIGOROUS MATHEMATICAL INTRODUCTION TO OPTIMAL TRANSPORT AS A VARIATIONAL PROBLEM, ITS USE IN MODELING VARIOUS PHENOMENA, AND ITS CONNECTIONS WITH PARTIAL DIFFERENTIAL EQUATIONS. ITS MAIN GOAL IS TO PROVIDE THE READER WITH THE TECHNIQUES NECESSARY TO UNDERSTAND THE CURRENT RESEARCH IN OPTIMAL TRANSPORT AND THE TOOLS WHICH ARE MOST USEFUL FOR ITS APPLICATIONS. FULL PROOFS ARE USED TO ILLUSTRATE MATHEMATICAL CONCEPTS AND EACH CHAPTER INCLUDES A SECTION THAT DISCUSSES APPLICATIONS OF OPTIMAL TRANSPORT TO VARIOUS AREAS, SUCH AS ECONOMICS, FINANCE, POTENTIAL GAMES, IMAGE PROCESSING AND FLUID DYNAMICS. SEVERAL TOPICS ARE COVERED THAT HAVE NEVER BEEN PREVIOUSLY IN BOOKS ON THIS SUBJECT, SUCH AS THE KNOTHE TRANSPORT, THE PROPERTIES OF FUNCTIONALS ON MEASURES, THE DACOROGNA-MOSER FLOW, THE FORMULATION THROUGH MINIMAL FLOWS WITH PRESCRIBED DIVERGENCE FORMULATION, THE CASE OF THE SUPREMAL COST, AND THE MOST CLASSICAL NUMERICAL METHODS. GRADUATE STUDENTS AND RESEARCHERS IN BOTH PURE AND APPLIED MATHEMATICS INTERESTED IN THE PROBLEMS AND APPLICATIONS OF OPTIMAL TRANSPORT WILL FIND THIS TO BE AN INVALUABLE RESOURCE.
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Críticas
“This book offers an excellent, exciting and enjoyable, tour through the theory of optimal transportation, with a very good choice of topics ... . It is well written and thorough and provides an excellent introduction to applied mathematicians ... . a carefully selected list of exercises, make it ideal either as a textbook for an advanced postgraduate of doctoral level course, or for independent study.” (Athanasios Yannacopoulos, zbMATH 1401.49002, 2019)
“This book is very well written, and the proofs are carefully chosen and adapted. It is suitable for the researcher or the student willing to enter this field as well as for the professor planning a course on this topic. Thanks to the discussions at the end of each chapter and to the rich bibliography it is also a very good reference book.” (Luigi De Pascale, Mathematical Reviews, January, 2017)
Reseña del editor
This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations. Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications. Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics. Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation through minimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods. Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource.
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- EditorialBirkhauser Verlag AG
- Año de publicación2015
- ISBN 10 3319208276
- ISBN 13 9783319208275
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas353
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Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling: 87 (Progress in Nonlinear Differential Equations and Their Applications, 87)
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Optimal Transport for Applied Mathematicians
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ISBN 10: 3319208276
ISBN 13: 9783319208275
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations.Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications.Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics.Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation throughminimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods.Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource. 353 pp. Englisch. Nº de ref. del artículo: 9783319208275
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Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling (Progress in Nonlinear Differential Equations and Their Applications, 87, Band 87) : Calculus of Variations, PDEs, and Modeling
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hardcover. Condición: Sehr gut. Gebraucht - Sehr gut Sg - leichte Beschädigungen oder Verschmutzungen, ungelesenes Mängelexemplar, gestempelt - This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations.Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications.Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics.Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation throughminimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods.Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource. Nº de ref. del artículo: INF1000685341
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Optimal Transport for Applied Mathematicians : Calculus of Variations, Pdes, and Modeling
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This monograph presents a rigorous mathematical introduction to optimal transport as a variational problem, its use in modeling various phenomena, and its connections with partial differential equations.Its main goal is to provide the reader with the techniques necessary to understand the current research in optimal transport and the tools which are most useful for its applications.Full proofs are used to illustrate mathematical concepts and each chapter includes a section that discusses applications of optimal transport to various areas, such as economics, finance, potential games, image processing and fluid dynamics.Several topics are covered that have never been previously in books on this subject, such as the Knothe transport, the properties of functionals on measures, the Dacorogna-Moser flow, the formulation throughminimal flows with prescribed divergence formulation, the case of the supremal cost, and the most classical numerical methods.Graduate students and researchers in both pure and applied mathematics interested in the problems and applications of optimal transport will find this to be an invaluable resource. Nº de ref. del artículo: 9783319208275
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Optimal Transport for Applied Mathematicians : Calculus of Variations, Pdes, and Modeling
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Optimal Transport for Applied Mathematicians
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ISBN 10: 3319208276
ISBN 13: 9783319208275
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The role of optimal transport in applied mathematics is dramatically increasing, with applications in economics, finance, potential games, image processing and fluid dynamics  Each chapter includes a section in which specific applications of . Nº de ref. del artículo: 32946940
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Optimal Transport for Applied Mathematicians : Calculus of Variations, Pdes, and Modeling
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Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling (Progress in Nonlinear Differential Equations and Their Applications)
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