Solid Analytical Geometry And Determinants

Download or read book Solid Analytic Geometry written by Abraham Adrian Albert and published by Courier Dover Publications. This book was released on 2016-09-21 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first seven chapters of this concise text provide an exposition of the basic topics of solid analytic geometry and comprise the material for a one-semester course on the subject for undergraduate mathematics majors. The remaining two chapters offer additional material for longer courses or supplementary study. Chapters 1 and 2 contain a treatment of the equations of lines and planes. Subsequent chapters offer an exposition of classical elementary surface and curve theory, a treatment of spheres, and an examination of the classical descriptions of quadric surfaces in standard position. An exploration of the theory of matrices follows, with applications to the three-dimensional case of quadric surfaces. The text concludes with a survey of spherical coordinates and elements of projective geometry.