Intrinsic Geometry 6i Ideal Space

Abstract

THIS is desirable to give the reader immediately an idea of what is an ideal space and its intrinsic geometry. Prof. Forsyth writes: “The present work is occupied with investigations of those intrinsic properties and differential measures of geometrical amplitudes which are connected with the corporate characteristics and the organic constituents of the amplitudes”. Hence we see, if we do not know what is an ideal space, we know at least that we can substitute the word “amplitude” for it; and instead of “intrinsic” we can use “corporate” and “organic”. That is all. We must seek an interpretation of these mysterious words going through the 1248 pages of this work. Before we can do that, we must become acquainted with some other words: plenary uncurved or homa-loidal (Euclidean space); flat and block (Euclidean spaces of dimensions three and four); amplitude (manifold); regions and domains (manifolds of three and four dimensions); tilt and coil (third and fourth curvature); gremial, orbicular, and globular curvatures; and other curiously used words.

Intrinsic Geometry 6i Ideal Space

By Dr. A. R. Forsyth. Vol. 1: pp. xxvi + 553. Vol. 2: pp. xiv + 655. (London: Macmillan and Co., Ltd., 1935.) 2 Vols. £6 6s. 0d. net.