Fourth Dimension Simply Explained (eBook)

Henry P. Manning (Autor)

eBook Download: EPUB

2012
272 Seiten
Dover Publications (Verlag)
978-0-486-16597-4 (ISBN)

Infos

Twenty-two essays examine the fourth dimension: how it 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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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 — 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 — an invaluable aid to visualizing these abstruse but fascinating ideas. New Introduction by Thomas F. Banchoff, Brown University. 82 figures.

Inhalt

IntroductionI. An Elucidation of the Fourth DimensionII. Non-Euclidean Geometry and the Fourth DimensionIII. Fourth Dimension AbsurditiesIV. The Boundary of the Four-Dimensional Unit and Other Features of Four-Dimensional SpaceV. How the Fourth Dimension May Be StudiedVI. Space and HyperspaceVII. An Interpretation of the Fourth DimensionVIII. Length, Breadth, Thickness, and Then What?IX. The Fourth Dimension Algebraically ConsideredX. Difficulties in Imagining the Fourth DimensionXI. Some Fourth Dimension CuriositiesXII. Characteristics of the Fourth DimensionXIII. The Fourth Dimension, the Playground of MathematicsXIV. The True and the False in the Theory of Four DimensionsXV. The Ascending Series of DimensionsXVI. The Mind's Eye and the Fourth DimensionXVII. Other Dimensions Than OursXVIII. The Meaning of the Term "Fourth Dimension"XIX. A Pupil in Geometry Quizzes His Teacher About the Fourth DimensionXX. Possible Measurements and Forms in a System of Four DimensionsXXI. The Fairyland of the Fourth DimensionXXII. The Properties of Four-Dimensional Space

Produkt-Details

• Erscheint lt. Verlag: 9.11.2012
• Reihe/Serie: Dover Books on Mathematics
• Zusatzinfo: 82 figs
• Sprache: englisch
• Maße: 140 x 140 mm
• Gewicht: 299 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 0-486-16597-3 / 0486165973
• ISBN-13: 978-0-486-16597-4 / 9780486165974