{"product_id":"history-of-functional-analysis-book-j-dieudonne-9780444861481","title":"History of Functional Analysis","description":"History of Functional Analysis presents functional analysis as a rather complex blend of algebra and topology, with its evolution influenced by the development of these two branches of mathematics. The book adopts a narrower definition—one that is assumed to satisfy various algebraic and topological conditions. A moment of reflections shows that this already covers a large part of modern analysis, in particular, the theory of partial differential equations.  This volume comprises nine chapters, the first of which focuses on linear differential equations and the Sturm-Liouville problem. The succeeding chapters go on to discuss the \"\"crypto-integral\"\" equations, including the Dirichlet principle and the Beer-Neumann method; the equation of vibrating membranes, including the contributions of Poincare and H.A. Schwarz's 1885 paper; and the idea of infinite dimension. Other chapters cover the crucial years and the definition of Hilbert space, including Fredholm's discovery and the contributions of Hilbert; duality and the definition of normed spaces, including the Hahn-Banach theorem and the method of the gliding hump and Baire category; spectral theory after 1900, including the theories and works of F. Riesz, Hilbert, von Neumann, Weyl, and Carleman; locally convex spaces and the theory of distributions; and applications of functional analysis to differential and partial differential equations.  This book will be of interest to practitioners in the fields of mathematics and statistics.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52335418573073,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52335419097361,"sku":"NLS9780444861481","price":56.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780444861481.jpg?v=1758159963","url":"https:\/\/www.worldofbooks.com\/en-gb\/products\/history-of-functional-analysis-book-j-dieudonne-9780444861481","provider":"World of Books ","version":"1.0","type":"link"}