{"product_id":"topics-in-optimal-transportation-graduate-studies-in-mathematics","title":"Topics in Optimal Transportation (Graduate Studies in Mathematics)","description":"\u003cp\u003eThis 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 Monges 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.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":44945069375541,"sku":"ByrdShop_082183312X","price":355.43,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9780821833124_1f7ffabe-e8e8-46dd-aa91-22f23af04c5e.jpg?v=1772675343","url":"https:\/\/atxbooks.com\/products\/topics-in-optimal-transportation-graduate-studies-in-mathematics","provider":"ATX Books","version":"1.0","type":"link"}