Articles liés à History of Functional Analysis
Synopsis
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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Présentation de l'éditeur
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.
Revue de presse
An excellent supplement to any standard course in functional analysis.
American Mathematical Monthly
The admirable book under review, written by an eminently qualified mathematician, makes a notable contribution to the understanding of the historical process that has shaped what is known today as functional analysis...Dieudonné has given us a very readable and exciting account of how functional analysis has evolved...This is essential reading for functional analysts who wish to know how their subject came into existence.
Bulletin of the American Mathematical Society
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History of Functional Analysis
Edité par
Elsevier Science & Technology, 1983
ISBN 10 : 0444861483
ISBN 13 : 9780444861481
Ancien ou d'occasion
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Vendeur : Better World Books, Mishawaka, IN, Etats-Unis
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Etat : Very Good. 1st Edition. Former library book; may include library markings. Used book that is in excellent condition. May show signs of wear or have minor defects. N° de réf. du vendeur 13971527-6
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History of Functional Analysis.
Edité par
North-Holland Publishing Company, Amsterdam, New York, Oxford, 1981
ISBN 10 : 0444861483
ISBN 13 : 9780444861481
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Vendeur : Emile Kerssemakers ILAB, Heerlen, Pays-Bas
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24 x 16.5 cm, stiff wrappers, vi, 312 pages, Text in English, covers discoloured, paper browned, although still in very good condition, see picture. North-Holland Mathematics Studies, vol. 49. Part of the series Notas de Matemática, edited by Leopoldo Nachbin. Comprehensive historical survey of the development of functional analysis from its origins to the twentieth century. 520g. N° de réf. du vendeur 80880
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History of Functional Analysis
Edité par
North Holland, 1983
ISBN 10 : 0444861483
ISBN 13 : 9780444861481
Ancien ou d'occasion
Couverture rigide
Vendeur : medimops, Berlin, Allemagne
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Etat : good. Befriedigend/Good: Durchschnittlich erhaltenes Buch bzw. Schutzumschlag mit Gebrauchsspuren, aber vollständigen Seiten. / Describes the average WORN book or dust jacket that has all the pages present. N° de réf. du vendeur M00444861483-G
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History of Functional Analysis. North-Holland Mathematics Studies 49. Notas de Matematica 49
Edité par
North Holland, 1981
ISBN 10 : 0444861483
ISBN 13 : 9780444861481
Ancien ou d'occasion
Couverture rigide
Vendeur : Zubal-Books, Since 1961, Cleveland, OH, Etats-Unis
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Etat : Very Good. First printing; 311 pp., Paperback (SAME ISBN), previous owner's name to the front free endpaper, minor FAINT pencil notations to a few pages, light wear to spine and covers else very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. N° de réf. du vendeur ZB1332282
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History of Functional Analysis: Volume 49 (North-Holland Mathematics Studies)
Edité par
North Holland 1983-01-01, 1983
ISBN 10 : 0444861483
ISBN 13 : 9780444861481
Neuf
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Vendeur : Chiron Media, Wallingford, Royaume-Uni
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Hardcover. Etat : New. N° de réf. du vendeur 6666-ELS-9780444861481
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HISTORY OF FUNCTIONAL ANALYSIS NHMS 49 (North-Holland Mathematics Studies)
Vendeur : Revaluation Books, Exeter, Royaume-Uni
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Hardcover. Etat : Brand New. 320 pages. 9.75x6.75x5.00 inches. In Stock. N° de réf. du vendeur __0444861483
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History of Functional Analysis
Vendeur : Majestic Books, Hounslow, Royaume-Uni
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Etat : New. pp. 320 68:B&W 7 x 10 in or 254 x 178 mm Case Laminate on White w/Gloss Lam. N° de réf. du vendeur 8385865
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History of Functional Analysis: Volume 49
Edité par
Elsevier Science & Technology, 1983
ISBN 10 : 0444861483
ISBN 13 : 9780444861481
Neuf
Couverture rigide
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
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Hardback. Etat : New. New copy - Usually dispatched within 4 working days. 858. N° de réf. du vendeur B9780444861481
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History of Functional Analysis (Volume 49) (North-Holland Mathematics Studies, Volume 49)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Etat : New. In. N° de réf. du vendeur ria9780444861481_new
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History of Functional Analysis
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 320. N° de réf. du vendeur 26543382
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