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Non-Euclidean Geometry
Non-Euclidean Geometry by Henry Parker Manning is a comprehensive exploration of geometrical systems that deviate from Euclidean geometry, challenging traditional notions of space, distance, and parallel lines. Manning introduces readers to the fascinating world of non-Euclidean geometries, providing insights into their development, principles, and applications. Key Points: Manning introduces readers to the groundbreaking works of mathematicians like Nikolai Lobachevsky, János Bolyai, and Carl Friedrich Gauss, who pioneered the development of non-Euclidean geometries, revolutionizing our understanding of geometric principles and expanding the boundaries of mathematical thought. The book del...
The Fourth Dimension Simply Explained (Illustrated Edition) (Dodo Press)
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).
Introductory Non-Euclidean Geometry
This fine and versatile introduction begins with the theorems common to Euclidean and non-Euclidean geometry, and then it addresses the specific differences that constitute elliptic and hyperbolic geometry. 1901 edition.
The Fourth Dimension Simply Explained
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.
The Emergence of the Fourth Dimension
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.
The Fourth Dimension and Non-Euclidean Geometry in Modern Art, revised edition
The long-awaited new edition of a groundbreaking work on the impact of alternative concepts of space on modern art. In this groundbreaking study, first published in 1983 and unavailable for over a decade, Linda Dalrymple Henderson demonstrates that two concepts of space beyond immediate perception—the curved spaces of non-Euclidean geometry and, most important, a higher, fourth dimension of space—were central to the development of modern art. The possibility of a spatial fourth dimension suggested that our world might be merely a shadow or section of a higher dimensional existence. That iconoclastic idea encouraged radical innovation by a variety of early twentieth-century artists, rangi...
