{"title":"E Dierker","description":null,"products":[{"product_id":"topological-methods-in-walrasian-economics-book-e-dierker-9783540066224","title":"Topological Methods in Walrasian Economics","description":"In winter 71\/72 I held a seminar on general equilibrium theory for a jOint group of students in mathematics and in econo­ mics at the university of Bonn , w.Germany1~ The economists , how­ ever , had a mathematical background well above the average • Most of the material treated in that seminar is described in these notes. The connection between smooth preferences and smooth demand func­ tions [ see Debreu (1972) ] and regular economies based on agents with smooth preferences are not presented here • Some pedagogical difficulties arose from the fact that elementary knowledge of algebraic topology is not assumed although it is helpful and indeed necessary to make some arguments precise • It is only a minor restriction , at present , that functional ana­ lysis is not used • But with the development of the theory more economic questions will be considered in their natural infinite dimensional setting • Economic knowledge is not required , but especially a reader without economic background will gain much by reading Debreu's classic \"Theory of Value\" (1959) • Although the formulation of our economic problem uses a map between Euclidean spaces only , we shall also consider ma- folds • Manifolds appear in our situation because inverse images under differentiable mappings between Euclidean spaces are very often differentiable manifolds • ( Under differentiability assump­ tions , for instance , the graph of the equilibrium set correspon­","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52617477816593,"sku":"NLS9783540066224","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783540066224.jpg?v=1761530423"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-e-dierker.oembed","provider":"World of Books ","version":"1.0","type":"link"}