Readable and informative, this collection of 22 essays employs a minimum of mathematics to explain how the fourth dimension may be studied, the relationship of non-Euclidean geometry to the fourth dimension, analogues to three-dimensional space, four-dimensional absurdities and curiosities, and the simpler properties of four-dimensional space. 1910 edition. 82 figures.
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In these 22 winning and sometime winsome essays, contributors describe how the fourth dimension works and what it does to mathematics, including a brief dip into its own absurdities. Topics include non-Euclidean geometry in the fourth dimension, space and hyperspace, the fourth dimension algebraically considered, the ascending state of dimensions,
Thomas F. Banchoff is a Professor of Mathematics at Brown University. He is the author of Beyond the Third Dimension and Linear Algebra Through Geometry (with John Wermer) and the editor of a reprint of Henry P. Manning's The Fourth Dimension Simply Explained.
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