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History of Functional Analysis (Volume 49) (North-Holland Mathematics Studies, Volume 49) by Jean Dieudonné is a book available to read on EtoBox.

What is History of Functional Analysis (Volume 49) (North-Holland Mathematics Studies, Volume 49) about?

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 a

Author

Jean Dieudonné

Publisher

Amsterdam ; New York: North-Holland Pub. Co. ; New York: sole distributors for the U.S.A. and Canada, Elsevier North-Holland

Published

1981

Language

EN

ISBN

9780080871608

Subjects

Mathematics, History, Philosophy