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Author: Cédric Villani
Publisher: American Mathematical Soc.
ISBN: 1470467267
Category : Education
Languages : en
Pages : 370
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Book Description
This is the first comprehensive introduction to the theory of mass transportation with its many—and sometimes unexpected—applications. In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook. In 1781, Gaspard Monge defined the problem of “optimal transportation” (or the transferring of mass with the least possible amount of work), with applications to engineering in mind. In 1942, Leonid Kantorovich applied the newborn machinery of linear programming to Monge's problem, with applications to economics in mind. In 1987, Yann Brenier used optimal transportation to prove a new projection theorem on the set of measure preserving maps, with applications to fluid mechanics in mind. Each of these contributions marked the beginning of a whole mathematical theory, with many unexpected ramifications. Nowadays, the Monge-Kantorovich problem is used and studied by researchers from extremely diverse horizons, including probability theory, functional analysis, isoperimetry, partial differential equations, and even meteorology. Originating from a graduate course, the present volume is intended for graduate students and researchers, covering both theory and applications. Readers are only assumed to be familiar with the basics of measure theory and functional analysis.
Author: Cédric Villani
Publisher: American Mathematical Soc.
ISBN: 1470467267
Category : Education
Languages : en
Pages : 370
Get Book Here
Book Description
This is the first comprehensive introduction to the theory of mass transportation with its many—and sometimes unexpected—applications. In a novel approach to the subject, the book both surveys the topic and includes a chapter of problems, making it a particularly useful graduate textbook. In 1781, Gaspard Monge defined the problem of “optimal transportation” (or the transferring of mass with the least possible amount of work), with applications to engineering in mind. In 1942, Leonid Kantorovich applied the newborn machinery of linear programming to Monge's problem, with applications to economics in mind. In 1987, Yann Brenier used optimal transportation to prove a new projection theorem on the set of measure preserving maps, with applications to fluid mechanics in mind. Each of these contributions marked the beginning of a whole mathematical theory, with many unexpected ramifications. Nowadays, the Monge-Kantorovich problem is used and studied by researchers from extremely diverse horizons, including probability theory, functional analysis, isoperimetry, partial differential equations, and even meteorology. Originating from a graduate course, the present volume is intended for graduate students and researchers, covering both theory and applications. Readers are only assumed to be familiar with the basics of measure theory and functional analysis.
Author: G. Astarita
Publisher: Elsevier
ISBN: 0080541542
Category : Technology & Engineering
Languages : en
Pages : 429
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Book Description
This book is a research monograph on transport phenomena. The topics discussed are often mathematically simple, though conceptually complex. The book is written in a colloquial style which a good teacher uses in the classroom. It originates from the author's wealth of teaching experience in this area and incorporates suggestions from colleagues worldwide.
Author:
Publisher:
ISBN:
Category : Trucking
Languages : en
Pages : 456
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Book Description
Author: Larry A. Glasgow
Publisher: John Wiley & Sons
ISBN: 1118031776
Category : Technology & Engineering
Languages : en
Pages : 519
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Book Description
Enables readers to apply transport phenomena principles to solve advanced problems in all areas of engineering and science This book helps readers elevate their understanding of, and their ability to apply, transport phenomena by introducing a broad range of advanced topics as well as analytical and numerical solution techniques. Readers gain the ability to solve complex problems generally not addressed in undergraduate-level courses, including nonlinear, multidimensional transport, and transient molecular and convective transport scenarios. Avoiding rote memorization, the author emphasizes a dual approach to learning in which physical understanding and problem-solving capability are developed simultaneously. Moreover, the author builds both readers' interest and knowledge by: Demonstrating that transport phenomena are pervasive, affecting every aspect of life Offering historical perspectives to enhance readers' understanding of current theory and methods Providing numerous examples drawn from a broad range of fields in the physical and life sciences and engineering Contextualizing problems in scenarios so that their rationale and significance are clear This text generally avoids the use of commercial software for problem solutions, helping readers cultivate a deeper understanding of how solutions are developed. References throughout the text promote further study and encourage the student to contemplate additional topics in transport phenomena. Transport Phenomena is written for advanced undergraduates and graduate students in chemical and mechanical engineering. Upon mastering the principles and techniques presented in this text, all readers will be better able to critically evaluate a broad range of physical phenomena, processes, and systems across many disciplines.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 96
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Book Description
Author: Cédric Villani
Publisher: Springer Science & Business Media
ISBN: 3540710507
Category : Mathematics
Languages : en
Pages : 970
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Book Description
At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. The author presents a broad overview of this area, supplying complete and self-contained proofs of all the fundamental results of the theory of optimal transport at the appropriate level of generality. Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results. PhD students or researchers can read the entire book without any prior knowledge of the field. A comprehensive bibliography with notes that extensively discuss the existing literature underlines the book’s value as a most welcome reference text on this subject.
Author: United States. Department of Transportation
Publisher:
ISBN:
Category :
Languages : en
Pages : 92
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Book Description
Author: Karen Lucas
Publisher: Elsevier
ISBN: 0128148187
Category : Business & Economics
Languages : en
Pages : 328
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Book Description
Measuring Transport Equity provides a methodology with the potential to shape the transportation decision-making processes, thus allowing for the adoption of more equitable transport solutions. Focusing on numerous applied methodological approaches to transport equity assessment, the book formalizes the disciplinary practice, definitions and methodologies for transport equity. In addition, it recognizes the different types of equity and acknowledges that each requires their own assessment methodologies. Bringing together the most up-to-date perspectives and practical approaches for assessing transportation accessibility, environmental impacts, health and wellbeing, the book sets standards for researchers, policymakers and practitioners for conducting social impact analyses. Written by a collection of top researchers in the transport field Shows how to apply transport equity measurement ideas in the real-world through case study examples Covers emerging transport topics, including the use of the Gini index for measuring inequality Includes learning aids, such as methodology, application, policy relevance and further reading
Author: Mark H. Rose
Publisher: University of Pennsylvania Press
ISBN: 0812221168
Category : History
Languages : en
Pages : 344
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Book Description
This book focuses on the role of government in organizing the nation's transportation industries. As the authors show, over the course of the twentieth century transportation in the United States was as much a product of hard-fought politics, lobbying, and litigation as it was a naturally evolving system of engineering and available technology.
Author: Rosário Macário
Publisher: Routledge
ISBN: 1136926445
Category : Business & Economics
Languages : en
Pages : 657
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Book Description
This book offers material for strategic thinking featuring contributions from key figures in Europe, the US and Asia. The focus of the book expands from economic to legal issues, bankruptcy and safety and security. The carefully selected papers offer a thorough and structured analysis of major current developments in the air transport industry. Fully up to date, topics covered include competitive strength, capacity utilisation and risk. The most likely future scenarios are more or less known. Only, the timeframe remains uncertain. The speed at which the various market players in the air transport chain will implement their strategies remains the key question. This depends on a whole range of exogenous and endogenous variables, as this book aspires to demonstrate. As both an overview of the current issues affecting the industry and as a cohesive set of strategic documents, therefore, this collection will prove invaluable for policy makers and researchers alike.
