Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
|
Your cart is empty |
|||
Showing 1 - 2 of 2 matches in All Departments
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.
The marriage of analytic power to geometric intuition drives many of today's mathematical advances, yet books that build the connection from an elementary level remain scarce. This engaging introduction to geometric measure theory bridges analysis and geometry, taking readers from basic theory to some of the most celebrated results in modern analysis. The theory of sets of finite perimeter provides a simple and effective framework. Topics covered include existence, regularity, analysis of singularities, characterization and symmetry results for minimizers in geometric variational problems, starting from the basics about Hausdorff measures in Euclidean spaces and ending with complete proofs of the regularity of area-minimizing hypersurfaces up to singular sets of codimension 8. Explanatory pictures, detailed proofs, exercises and remarks providing heuristic motivation and summarizing difficult arguments make this graduate-level textbook suitable for self-study and also a useful reference for researchers. Readers require only undergraduate analysis and basic measure theory.
|
You may like...
Delays and Networked Control Systems
Alexandre Seuret, Laurentiu Hetel, …
Hardcover
Stochastic Averaging and Stochastic…
Shu-Jun Liu, Miroslav Krstic
Hardcover
Advanced H Control - Towards Nonsmooth…
Yury V. Orlov, Luis T. Aguilar
Hardcover
The Diversity and Beauty of Applied…
Albrecht Boettcher, Daniel Potts, …
Hardcover
R5,728
Discovery Miles 57 280
An Introduction to Optimal Control…
Sebastian Anita, Viorel Arnautu, …
Hardcover
Progress in Turbulence V - Proceedings…
Alessandro Talamelli, Martin Oberlack, …
Hardcover
R4,902
Discovery Miles 49 020
Modelling, Analysis, and Control of…
Ziyang Meng, Tao Yang, …
Hardcover
R3,171
Discovery Miles 31 710
Mobile Point Sensors and Actuators in…
Alexander Y Khapalov
Hardcover
|