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Solid Analytic Geometry
Abraham Adrian Albert
出版Courier Dover Publications, 2016-09-21
主題Mathematics / Geometry / AnalyticMathematics / Geometry / General
ISBN04868102679780486810263
URLhttp://books.google.com.hk/books?id=xfhlDAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.