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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.
Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world...
Henry Parker Manning (1859-1956) was an American professor of mathematics. In 1889, he entered Johns Hopkins University to study mathematics, astronomy and physics. When he received his Ph. D. degree in 1891, his first printed paper had already appeared in the American Journal of Mathematics. When he was nearly seventy, Manning learned early Egyptian hieroglypics, and collaborated with Arnold Buffum Chace in his publication of the Rhind Mathematical Papyrus. He retired in 1930 and spent several years as associate editor of the American Mathematical Monthly. Amongst his other works are Non-Euclidean Geometry (1901), Irrational Numbers and Their Representation by Sequences and Series (1906), The Fourth Dimension Simply Explained (1910) and Geometry of Four Dimensions (1914).
The writings of Newton, Leibniz, Pascal, Riemann, Bernoulli, and others in a comprehensive selection of 125 treatises dating from the Renaissance to the late 19th century — most unavailable elsewhere.
This volume examines the emergence of the idea of the fourth dimension in fiction of the fin de siecle and how these new theories of the possibilities of time and space influenced writers such as Joseph Conrad, Ford Madox Ford, H.G. Wells, Henry James, H. P. Lovecraft, and others.
Erudite and entertaining overview follows development of mathematics from ancient Greeks to present. Topics include logic and mathematics, the fundamental concept, differential calculus, probability theory, much more. Exercises and problems.
Clear, concise explanation of logical development of basic crystallographic concepts. Topics include crystals and lattices, symmetry, x-ray diffraction, and more. Problems, with answers. 114 illustrations. 1969 edition.
Revised, updated edition of classic work on the physics of lightning covers phenomena, terminology, measurement, photography, spectroscopy, thunder, and more, including reviews of recent research. 140 figures and tables.
This lively, stimulating account of non-Euclidean geometry by a noted mathematician covers matrices, determinants, group theory, and many other related topics, with an emphasis on the subject's novel, striking aspects. 1955 edition.