MTU Cork Library Catalogue

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Beyond the third dimension : computer graphics and higher dimensions / Thomas F. Banchoff.

By: Banchoff, Thomas.
Material type: materialTypeLabelBookSeries: Scientific American Library series ; no. 33.Publisher: New York : Scientific American, 1996Description: ix, 211 p. ; 24 cm. + pbk.ISBN: 0716760150.Subject(s): Hyperspace | Dimensions | Computer graphicsDDC classification: 516.36
Contents:
Introducing dimensions -- Scaling and measurement -- Slicing and contours -- Shadows and structures -- Regular polytopes and fold-outs -- Perspective and animation -- Configuration spaces -- Coordinate geometry -- Non-Euclidean geometry and nonorientable surfaces.
Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
General Lending MTU Bishopstown Library Lending 516.36 (Browse shelf(Opens below)) 1 Available 00070227
Total holds: 0

Enhanced descriptions from Syndetics:

This work investigates ways of picturing and understanding dimensions below and above our own. What would a two-dimensional universe be like? How can we even attempt to picture objects of four, five or six dimensions? Such are the questions examined in this text.

Includes bibliographical references (pages 199-201) and index.

Introducing dimensions -- Scaling and measurement -- Slicing and contours -- Shadows and structures -- Regular polytopes and fold-outs -- Perspective and animation -- Configuration spaces -- Coordinate geometry -- Non-Euclidean geometry and nonorientable surfaces.

Reviews provided by Syndetics

CHOICE Review

Banchoff conveys a clear understanding of topics in mathematics and science that relate to the study of higher dimensions. He writes at a level that makes the subject matter comprehensible to any person with a basic knowledge of algebra and geometry. Banchoff has been a leader in the study of higher dimensions for many years, and in this book, he shows how the use of computer graphics allows the visualization of these previously visually inaccessible spaces. He introduces the ideas of dimension and perspective in a skillful presentation of one- and two-dimensional worlds before embarking into discussions of the world of higher dimensions. He also explains how geometers, scientists, philosophers, and artists have explored higher dimensions through metaphor and analogy. The book is extremely well written and printed on excellent paper. It contains numerous color illustrations, all of very good quality, and has a good list of references. General readers. -V. B. Anand, Clemson University

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