OPTIMAL MASS TRANSPORT ON EUCLIDEAN SPACES

Maggi, Francesco

ISBN 10: 1009179705 / ISBN 13: 9781009179706

Editore: Cambridge University Press, Cambridge, New York, Port Melbourne, 2023

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Octavo, xii, xviii, xx, 295 pages. In Very Good plus condition. Bound in the publisher's gray cloth bearing white lettering to the spine. Boards show extremely light wear. Text block has minimal wear to the edges. Illustrated. First edition, first printing. NOTE: Shelved in Netdesk Column F, ND-F. 1378203. FP New Rockville Stock. Codice articolo 1378203

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Titolo: OPTIMAL MASS TRANSPORT ON EUCLIDEAN SPACES

Casa editrice: Cambridge University Press, Cambridge, New York, Port Melbourne

Data di pubblicazione: 2023

Legatura: Hardcover

Edizione: First Edition, First Printing.

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Riassunto:

Optimal mass transport has emerged in the past three decades as an active field with wide-ranging connections to the calculus of variations, PDEs, and geometric analysis. This graduate-level introduction covers the field's theoretical foundation and key ideas in applications. By focusing on optimal mass transport problems in a Euclidean setting, the book is able to introduce concepts in a gradual, accessible way with minimal prerequisites, while remaining technically and conceptually complete. Working in a familiar context will help readers build geometric intuition quickly and give them a strong foundation in the subject. This book explores the relation between the Monge and Kantorovich transport problems, solving the former for both the linear transport cost (which is important in geometric applications) and for the quadratic transport cost (which is central in PDE applications), starting from the solution of the latter for arbitrary transport costs.