TOPOLOGICAL MODELING FOR VISUALIZATION by A.T. Fomenko, Tosiyasu L. Kunii ( 9784431702009 )

Item Details

Title:

TOPOLOGICAL MODELING FOR VISUALIZATION

By:

Format:

Hardback

List price:	£72.00
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ISBN 10:

4431702008

ISBN 13:

9784431702009

Publisher:

SPRINGER VERLAG, JAPAN

Pub. date:

18 August, 1997

Pages:

398

Description:

This work focuses on the contribution of topology to computer visualization methods. It covers not only linear but also non-linear problems. It contains examples, and only requires knowledge of high-school mathematics.

Synopsis:

The flood of information through various computer networks such as the In ternet characterizes the world situation in which we live. Information worlds, often called virtual spaces and cyberspaces, have been formed on computer networks. The complexity of information worlds has been increasing almost exponentially through the exponential growth of computer networks. Such nonlinearity in growth and in scope characterizes information worlds. In other words, the characterization of nonlinearity is the key to understanding, utiliz ing and living with the flood of information. The characterization approach is by characteristic points such as peaks, pits, and passes, according to the Morse theory. Another approach is by singularity signs such as folds and cusps. Atoms and molecules are the other fundamental characterization ap proach. Topology and geometry, including differential topology, serve as the framework for the characterization. Topological Modeling for Visualization is a textbook for those interested in this characterization, to understand what it is and how to do it. Understanding is the key to utilizing information worlds and to living with the changes in the real world. Writing this textbook required careful preparation by the authors. There are complex mathematical concepts that require designing a writing style that facilitates understanding and appeals to the reader. To evolve a style, we set as a main goal of this book the establishment of a link between the theoretical aspects of modern geometry and topology, on the one hand, and experimental computer geometry, on the other."

Illustrations:

7 colour & 330 b&w figures, bibliography, index

Publication:

Japan

Imprint:

Springer Verlag, Japan

Returns:

Non-returnable

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