Solid Analytic Geometry
| By: | Abraham Adrian Albert |
| Publisher: | Independent Publishers Group (Chicago Review Press) |
| Print ISBN: | 9780486810263 |
| eText ISBN: | 9780486814681 |
| Edition: | 0 |
| Format: | Reflowable |
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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.