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Fractals and Universal Spaces in Dimension Theory (Hardcover, 1st Edition. 2nd Printing. 2008) Loot Price: R1,622
Discovery Miles 16 220
Fractals and Universal Spaces in Dimension Theory (Hardcover, 1st Edition.
2nd Printing. 2008): Stephen Lipscomb

Fractals and Universal Spaces in Dimension Theory (Hardcover, 1st Edition. 2nd Printing. 2008)

Stephen Lipscomb

Series: Springer Monographs in Mathematics

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Loot Price R1,622 Discovery Miles 16 220 | Repayment Terms: R152 pm x 12*

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Historically, for metric spaces the quest for universal spaces in dimension theory spanned approximately a century of mathematical research. The history breaks naturally into two periods - the classical (separable metric) and the modern (not-necessarily separable metric).

The classical theory is now well documented in several books. This monograph is the first book to unify the modern theory from 1960-2007. Like the classical theory, the modern theory fundamentally involves the unit interval.

Unique features include:
* The use of graphics to illustrate the fractal view of these spaces;
* Lucid coverage of a range of topics including point-set topology and mapping theory, fractal geometry, and algebraic topology;
* A final chapter contains surveys and provides historical context for related research that includes other imbedding theorems, graph theory, and closed imbeddings;
* Each chapter contains a comment section that provides historical context with references that serve as a bridge to the literature.

This monograph will be useful to topologists, to mathematicians working in fractal geometry, and to historians of mathematics. Being the first monograph to focus on the connection between generalized fractals and universal spaces in dimension theory, it will be a natural text for graduate seminars or self-study - the interested reader will find many relevant open problems which will create further research into these topics.

General

Imprint: Springer-Verlag New York
Country of origin: United States
Series: Springer Monographs in Mathematics
Release date: 2009
First published: 2009
Authors: Stephen Lipscomb
Dimensions: 235 x 155 x 18mm (L x W x T)
Format: Hardcover
Pages: 242
Edition: 1st Edition. 2nd Printing. 2008
ISBN-13: 978-0-387-85493-9
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis
Books > Science & Mathematics > Mathematics > Topology > General
Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science
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LSN: 0-387-85493-2
Barcode: 9780387854939

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