Optimal Mass Transport on Euclidean Spaces Hardback
by Francesco (University of Texas, Austin) Maggi
Part of the Cambridge Studies in Advanced Mathematics series
Hardback
Description
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.
Information
-
Less than 10 available - usually despatched within 24 hours
- Format:Hardback
- Pages:345 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:16/11/2023
- Category:
- ISBN:9781009179706
Information
-
Less than 10 available - usually despatched within 24 hours
- Format:Hardback
- Pages:345 pages, Worked examples or Exercises
- Publisher:Cambridge University Press
- Publication Date:16/11/2023
- Category:
- ISBN:9781009179706
