History of Functional Analysis (Volume 49) (North-Holland Mathematics Studies, Volume 49) - Image 1

£45.26

North Holland History of Functional Analysis (Volume 49) (North-Holland Mathematics Studies, Volume 49)

Name: History of Functional Analysis (Volume 49) (North-Holland Mathematics Studies, Volume 49)
Brand: North Holland
Price: 45.26 GBP
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History of Mathematics

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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.

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History of Functional Analysis: Volume 49 (North-Holland Mathematics Studies, Volume 49)

Product type: ABIS BOOK

Brand: North Holland

Product Specifications

Brand: North Holland
Format: hardcover
ASIN: 0444861483
Category: Books > Subjects > Science, Nature & Maths > History & Philosophy > History of Mathematics
Domain: Amazon UK
Release Date: 05 January 1983
Listed Since: 12 January 2007

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North Holland History of Functional Analysis (Volume 49) (North-Holland Mathematics Studies, Volume 49)

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