{"product_id":"9783322929112","title":"Aspects of Mathematics: A Publication from the Steklov Institute of Mathematics Adviser: Armen Sergeev","description":"\u003ch1\u003eAspects of Mathematics: A Publication from the Steklov Institute of Mathematics Adviser: Armen Sergeev\u003c\/h1\u003e \u003ch2\u003eAnosov, D. V.; Bolibruch, A. A.\u003c\/h2\u003e \u003cp\u003eThis book is devoted to Hilbert's 21st problem (the Riemann-Hilbert problem) which belongs to the theory of linear systems of ordinary differential equations in the complex domain. The problem concems the existence of a Fuchsian system with prescribed singularities and monodromy. Hilbert was convinced that such a system always exists. However, this tumed out to be a rare case of a wrong forecast made by hirn. In 1989 the second author (A.B.) discovered a counterexample, thus 1 obtaining a negative solution to Hilbert's 21st problem. After we recognized that some \"data\" (singularities and monodromy) can be obtai­ ned from a Fuchsian system and some others cannot, we are enforced to change our point of view. To make the terminology more precise, we shaII caII the foIIowing problem the Riemann-Hilbert problem for such and such data: does there exist a Fuchsian system having these singularities and monodromy? The contemporary version of the 21 st Hilbert problem is to find conditions implying a positive or negative solution to the Riemann-Hilbert problem.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Vieweg+Teubner Verlag\u003c\/p\u003e \u003cp\u003ePublication Date: 2014-08-23\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783322929112\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-322-92909-9\u003c\/p\u003e \u003cp\u003eDimensions: 297cm x210cm\u003c\/p\u003e \u003cp\u003ePages: 193\u003c\/p\u003e ","brand":"Vieweg+Teubner Verlag","offers":[{"title":"Default Title","offer_id":46546741231756,"sku":"9783322929112","price":89.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783322929112.jpg?v=1775795967","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783322929112","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}