A Course in the Geometry of n Dimensions (Dover Books on Mathematics)

This text for undergraduate students provides a foundation for resolving proofs dependent on n-dimensional systems. The author takes a concise approach, setting out that part of the subject with statistical applications and briefly sketching them. The two-part treatment begins with simple figures in n dimensions and advances to examinations of the contents of hyperspheres, hyperellipsoids, hyperprisms, parallelotopes, hyperpyramids, and simplexes. The second part explores the mean in rectangular variation, the correlation coefficient in bivariate normal variation, Wishart’s distribution, correlations as angles, regression and multiple correlation, canonical correlations, and component analysis. 1961 edition.