Fixed Points

By: Yu A. Shashkin

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86 Pages

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25.4 x 17.78 x 0.64

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Continuous mapping of a closed interval and a square; First combinatorial lemma; Second combinatorial lemma, or walks through the rooms in a house; Sperner's lemma; Continuous mapping, homeomorphisms, and the fixed point property; Compactness; Proof of Brouwer's Theorem for a closed interval, the intermediate value theorem, and applications; Proof of Brouwer's Theorem for a square; The iteration method; Retraction; Continuous mappings of a circle, homotopy, and degree of a mapping; Second definition of the degree of mapping; Continuous mappings of a sphere; Lemma in equality of degrees.

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You Can Find This Book In

Non-Fiction Mathematics Algebra Calculus & Mathematical Analysis Functional Analysis & Transforms Topology

Continuous mappings of a closed interval and a square
First combinatorial lemma
Second combinatorial lemma, or walks through the rooms in a house Sperner's lemma
Continuous mappings, homeomorphisms, and the fixed point property
Compactness Proof of Brouwer's Theorem for a closed interval, the intermediate value theorem, and applications
Proof of Brouwer's Theorem for a square
The iteration method Retraction
Continuous mappings of a circle, homotopy, and degree of a mapping
Second definition of the degree of a mapping
Continuous mappings of a sphere
Lemma on equality of degrees
Table of Contents provided by Publisher. All Rights Reserved.

Fixed Points

At a Glance

Paperback

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How to return your order

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