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Brouwer Fixed Point Theorem (Paperback) Loot Price: R797
Discovery Miles 7 970
Brouwer Fixed Point Theorem (Paperback): Frederic P. Miller, Agnes F. Vandome, John McBrewster
Brouwer Fixed Point Theorem (Paperback): Frederic P. Miller, Agnes F. Vandome, John McBrewster

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Brouwer Fixed Point Theorem (Paperback)

Frederic P. Miller, Agnes F. Vandome, John McBrewster; Edited by Frederic P. Miller, Vandome Agnes F., McBrewster John

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Loot Price R797 Discovery Miles 7 970 | Repayment Terms: R74 pm x 12*

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, Brouwer's fixed point theorem is a theorem in topology, named after Luitzen Brouwer. It is one of many fixed point theorems, which state that for any continuous function f with certain properties there is a point x0 such that f = x0. The simplest form of Brouwer's theorem is for continuous functions f from a disk D to itself. A more general form is for continuous functions from a convex compact subset K of Euclidean space to itself. Among hundreds of fixed point theorems, Brouwer's is particularly well known, due in part to the fact that it is used across numerous fields of mathematics. In its original field, this result is one of the key theorems characterizing the topology of Euclidean spaces, along with the Jordan curve theorem, the hairy ball theorem or the Borsuku2013Ulam theorem. This gives it a place among the fundamental theorems of topology. The theorem is also used for proving deep results about differential equations and is covered in most introductory courses on differential geometry. It appears in unlikely fields such as game theory, where John Nash used it to prove the existence of a winning strategy for the game Hex.

General

Imprint: Alphascript Publishing
Country of origin: Germany
Release date: 2013
First published: 2013
Authors: Frederic P. Miller • Agnes F. Vandome • John McBrewster
Editors: Frederic P. Miller • Vandome Agnes F. • McBrewster John
Dimensions: 229 x 152 x 6mm (L x W x T)
Format: Paperback - Trade
Pages: 102
ISBN-13: 978-6130215972
Barcode: 9786130215972
Categories: Promotions
Books > Science & Mathematics > Mathematics
Books > Science & Mathematics > Mathematics > General
Books > Reference & Interdisciplinary > Encyclopaedias & reference works > Reference works
Books > Reference & Interdisciplinary > Encyclopaedias & reference works > Reference works > General
LSN: 6130215975

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