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BL
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| Record Number
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660062
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| Doc. No
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dltt
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| Main Entry
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Brown, Robert F.,1935-
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| Title & Author
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A topological introduction to nonlinear analysis /\ Robert F. Brown.
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| Edition Statement
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2nd ed.
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| Publication Statement
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Boston :: Birkhäuser,, c2004.
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| Page. NO
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xi, 184 p. :: ill. ;; 24 cm.
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| ISBN
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0817632581 (pbk. : alk. paper)
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: 9780817632588 (pbk. : alk. paper)
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: 3764332581 (Basel : alk. paper)
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: 9783764332587 (Basel : alk. paper)
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| Bibliographies/Indexes
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Includes bibliographical references (p. [181]) and index.
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| Contents
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Fixed point existence theory. The topological point of view ; Ascoli-arzela theory ; Brouwer fixed point theory ; Schauder fixed point theory ; The forced pendulum ; Equilibrium heat distribution ; Generalized Bernstein theory -- Degree theory. Brouwer degree ; Properties of the Brouwer Degree ; Leray-Schauder degree ; Properties of the Leray-Schauder Degree ; The Mawhin operator ; The pendulum swings back -- Bifurcation theory. A separation theorem ; Compact linear operators ; The degree calculation ; The Krasnoselskii-Rabinowitz bifurcation theorem ; Nonlinear Sturm-Liouville theory ; More Sturm-Liouville theory ; Euler buckling -- Appendices. Singular homology ; Additivity and product properties ; Bounded linear transformations.
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| Subject
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Nonlinear functional analysis.
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| LC Classification
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QA321.5.B79 2004
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