Solid Analytic Geometry

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Solid Analytic Geometry by Abraham Adrian Albert, Dover Publications
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Author: Abraham Adrian Albert ISBN: 9780486814681
Publisher: Dover Publications Publication: July 19, 2016
Imprint: Dover Publications Language: English
Author: Abraham Adrian Albert
ISBN: 9780486814681
Publisher: Dover Publications
Publication: July 19, 2016
Imprint: Dover Publications
Language: English

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.

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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.

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