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OverviewFull Product DetailsAuthor: Robert F. BrownPublisher: Birkhauser Boston Inc Imprint: Birkhauser Boston Inc Edition: 2nd ed. 2004 Dimensions: Width: 15.50cm , Height: 1.00cm , Length: 23.50cm Weight: 0.640kg ISBN: 9780817632588ISBN 10: 0817632581 Pages: 184 Publication Date: 12 December 2003 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Replaced By: 9783319117935 Format: Paperback Publisher's Status: Active Availability: In Print ![]() This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsI Fixed Point Existence Theory.- 1 The Topological Point of View.- 2 Ascoli-Arzela Theory.- 3 Brouwer Fixed Point Theory.- 4 Schauder Fixed Point Theory.- 5 The Forced Pendulum.- 6 Equilibrium Heat Distribution.- 7 Generalized Bernstein Theory.- II Degree Theory.- 8 Brouwer Degree.- 9 Properties of the Brouwer Degree.- 10 Leray-Schauder Degree.- 11 Properties of the Leray-Schauder Degree.- 12 The Mawhin Operator.- 13 The Pendulum Swings Back.- III Bifurcation Theory.- 14 A Separation Theorem.- 15 Compact Linear Operators.- 16 The Degree Calculation.- 17 The Krasnoselskii-Rabinowitz Bifurcation Theorem.- 18 Nonlinear Sturm-Liouville Theory.- 19 More Sturm-Liouville Theory.- 20 Euler Buckling.- IV Appendices.- A Singular Homology.- B Additivity and Product Properties.- C Bounded Linear Transformations.- C Bounded Linear Transformations.- References.ReviewsThe book is highly recommended as a text for an introductory course in nonlinear analysis and bifurcation theory... reading is fluid and very pleasant... style is informal but far from being imprecise. - Mathematical Reviews (Review of the first edition) For the topology-minded reader, the book indeed has a lot to offer: written in a very personal, eloquent and instructive style it makes one of the highlights of nonlinear analysis accessible to a wide audience. - Monatshefte fur Mathematik Written by an expert in fixed point theory who is well aware of the important applications of this area to nonlinear analysis and differential equations, the first edition of this book has been very well received, and has helped both topologists in learning nonlinear analysis and analysts in appreciating topological fixed point theory. The second edition has kept the freshness and clarity of style of the first one. The new version remains more than even an excellent introduction to the sue of topological techniques in dealing with nonlinear problems. ---Mathematical Society The book is highly recommended as a text for an introductory course in nonlinear analysis and bifurcation theory... reading is fluid and very pleasant... style is informal but far from being imprecise. <p>- Mathematical Reviews (Review of the first edition) <p> For the topology-minded reader, the book indeed has a lot to offer: written in a very personal, eloquent and instructive style it makes one of the highlights of nonlinear analysis accessible to a wide audience. <p>- Monatshefte fA1/4r Mathematik <p> Written by an expert in fixed point theory who is well aware of the important applications of this area to nonlinear analysis and differential equations, the first edition of this book has been very well received, and has helped both topologists in learning nonlinear analysis and analysts in appreciating topological fixed point theory. The second edition has kept the freshness and clarity of style of the first one. The new version remains more than even an excellent introduction to the sue of topological techniques in dealing with nonlinear problems. ---Mathematical Society Aus den Rezensionen zur 2. Auflage: ! Um auf nicht einmal 200 Seiten ein sinnvolles Bild des umfangreichen Gegenstandes zu zeichnen, muss namlich eine sehr selektive Stoffauswahl getroffen werden. Sehr wohl werden ... drei Anspruche erhoben, welchen das Buch auf sicherlich vorbildliche Weise gerecht wird ... Dies wird durch eine klare Gliederung in drei Teile und einen Anhang erreicht. ... Mit seinem ... verbalen und doch sehr prazisen Stil versteht es der Autor hervorragend, die entscheidenden Ideen zu vermitteln. ... Deshalb kann das Buch als Einfuhrung in den Gegenstand uneingeschrankt empfohlen werden ... (R. Winkler, in: IMN - Internationale Mathematische Nachrichten, 2005, Vol. 198, S. 33) Author InformationTab Content 6Author Website:Countries AvailableAll regions |