{"product_id":"history-of-functional-analysis-volume-49-north-holland-mathematics-studies-volume-49-0444861483","title":"History of Functional Analysis (Volume 49) (North-Holland Mathematics Studies, Volume 49)","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 0444861483\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Dieudonne, J.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eHistory 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.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":51931754365216,"sku":"NEW0444861483","price":65.65,"currency_code":"USD","in_stock":true}],"url":"https:\/\/miakarts.com\/products\/history-of-functional-analysis-volume-49-north-holland-mathematics-studies-volume-49-0444861483","provider":"Miakarts Books","version":"1.0","type":"link"}