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Beschreibung
Based on Sperner's lemma the fixed point theorem of Brouwer is proved. Rather than presenting also other beautiful proofs of Brouwer's fixed point theorem, many nice applications are given in some detail. Also Schauder's fixed point theorem is presented which can be viewed as a natural generalization of Brouwer's fixed point theorem to an infinite-dimensional setting. Finally, Tarski's fixed point theorem is applied to differential equations in Banach spaces.
Based on Sperner's lemma the fixed point theorem of Brouwer is proved. Rather than presenting also other beautiful proofs of Brouwer's fixed point theorem, many nice applications are given in some detail. Also Schauder's fixed point theorem is presented which can be viewed as a natural generalization of Brouwer's fixed point theorem to an infinite-dimensional setting. Finally, Tarski's fixed point theorem is applied to differential equations in Banach spaces.
Details
Erscheinungsjahr: 2014
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Titel: From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications
Inhalt: 150 S.
8 farbige Illustr.
ISBN-13: 9783731502609
ISBN-10: 3731502607
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Schäfer, Uwe
Hersteller: Karlsruher Institut für Technologie
Karlsruher Institut für Technologie (KIT)
Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Maße: 240 x 170 x 10 mm
Von/Mit: Uwe Schäfer
Erscheinungsdatum: 08.12.2014
Gewicht: 0,298 kg
Artikel-ID: 104977812