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Lectures on Analytic and Projective Geometry
Dirk J. Struik
出版Courier Corporation, 2011-10-24
主題Mathematics / Geometry / Analytic
ISBN04864859519780486485959
URLhttp://books.google.com.hk/books?id=lMCxz-RecbwC&hl=&source=gbs_api
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註釋Based on a historic approach taken by instructors at MIT, this text is geared toward junior and senior undergraduate courses in analytic and projective geometry. Starting with concepts concerning points on a line and lines through a point, it proceeds to the geometry of plane and space, leading up to conics and quadrics developed within the context of metrical, affine, and projective transformations. The algebraic treatment is occasionally exchanged for a synthetic approach, and the connection of the geometrical material with other fields is frequently noted.
Prerequisites for this treatment include three semesters of calculus and analytic geometry. Special exercises at the end of the book introduce students to interesting peripheral problems, and solutions are provided.