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From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications

From Sperner's Lemma to Differential Equations in Banach Spaces : An Introduction to Fixed Point Theorems and their Applications

von Uwe Schäfer
Softcover - 9783731502609
29,00 €
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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.

Details

Verlag KIT Scientific Publishing
Ersterscheinung 03. Dezember 2014
Maße 24 cm x 17 cm
Gewicht 330 Gramm
Format Softcover
ISBN-13 9783731502609
Seiten 150

Schlagwörter

Mathematik