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Item Details
| Title:
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HISTORY OF FUNCTIONAL ANALYSIS
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| Volume: |
Volume 49 |
| By: |
J.A. Dieudonne |
| Format: |
Hardback |
| List price:
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£49.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0444861483 |
| ISBN 13: |
9780444861481 |
| Publisher: |
ELSEVIER SCIENCE & TECHNOLOGY |
| Pub. date: |
1 January, 1983 |
| Series: |
North-Holland Mathematics Studies |
| Pages: |
311 |
| 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. |
| Publication: |
US |
| Imprint: |
North-Holland |
| Returns: |
Non-returnable |
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