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25 Remote Warehouse Mathematics- Geometry and Trigonometry

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The Fourth Dimension Simply Explained


The Fourth Dimension Simply Explained Cover


Synopses & Reviews

Publisher Comments:

To remove the contents of an egg without puncturing its shell or to drink the liquor in a bottle without removing the cork is clearly unthinkable and#8212; or is it? Understanding the world of Einstein and curved space requires a logical conception of the fourth dimension.

This readable, informative volume provides an excellent introduction to that world, with 22 essays that employ a minimum of mathematics. Originally written for a contest sponsored by Scientific American, these essays are so well reasoned and lucidly written that they were judged to merit publication in book form. Their easily understood explanations cover such topics as how the fourth dimension may be studied, the relationship of non-Euclidean geometry to the fourth dimension, analogues to three-dimensional space, some four-dimensional absurdities and curiosities, possible measurements and forms in the fourth dimension, and extensive considerations of four-dimensional space's simpler properties.

Since each essay is independently conceived, all of the writers offer fresh viewpoints and original examples. Because of this, some of the most important principles relating to the fourth dimension are viewed from several different angles at once and#8212; an invaluable aid to visualizing these abstruse but fascinating ideas. New Introduction by Thomas F. Banchoff, Brown University. 82 figures.


Twenty-two essays examine the fourth dimension: how itand#160;may be studied, its relationship to non-Euclidean geometry, analogues to three-dimensional space, its absurdities and curiosities, and its simpler properties. 1910 edition.

Table of Contents


I. An Elucidation of the Fourth Dimension

II. Non-Euclidean Geometry and the Fourth Dimension

III. Fourth Dimension Absurdities

IV. The Boundary of the Four-Dimensional Unit and Other Features of Four-Dimensional Space

V. How the Fourth Dimension May Be Studied

VI. Space and Hyperspace

VII. An Interpretation of the Fourth Dimension

VIII. Length, Breadth, Thickness, and Then What?

IX. The Fourth Dimension Algebraically Considered

X. Difficulties in Imagining the Fourth Dimension

XI. Some Fourth Dimension Curiosities

XII. Characteristics of the Fourth Dimension

XIII. The Fourth Dimension, the Playground of Mathematics

XIV. The True and the False in the Theory of Four Dimensions

XV. The Ascending Series of Dimensions

XVI. The Mind's Eye and the Fourth Dimension

XVII. Other Dimensions Than Ours

XVIII. The Meaning of the Term "Fourth Dimension"

XIX. A Pupil in Geometry Quizzes His Teacher About the Fourth Dimension

XX. Possible Measurements and Forms in a System of Four Dimensions

XXI. The Fairyland of the Fourth Dimension

XXII. The Properties of Four-Dimensional Space

Product Details

Banchoff, Thomas F.
Dover Publications
Introduction by:
Banchoff, Thomas F.
Banchoff, Thomas F.
Manning, Henry P.
Geometry - General
Fourth dimension
Mathematics-Geometry and Trigonometry
Edition Description:
Trade Paper
Dover Books on Mathematics
Publication Date:
82 figs
8.5 x 5.38 in 0.66 lb

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Related Subjects

Reference » Science Reference » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Nature Studies » General
Science and Mathematics » Physics » General
Science and Mathematics » Physics » Relativity Theory

The Fourth Dimension Simply Explained New Trade Paper
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Product details 272 pages Dover Publications - English 9780486438894 Reviews:
"Synopsis" by ,
Twenty-two essays examine the fourth dimension: how itand#160;may be studied, its relationship to non-Euclidean geometry, analogues to three-dimensional space, its absurdities and curiosities, and its simpler properties. 1910 edition.
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