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Analytical Conics

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Synopses & Reviews

Publisher Comments:

This concise text introduces students to analytical geometry, covering basic ideas and methods. Readily intelligible to any student with a sound mathematical background, it is designed both for undergraduates and for math majors. It will prove particularly valuable in preparing readers for more advanced treatments.

The text begins with an overview of the analytical geometry of the straight line, circle, and the conics in their standard forms. It proceeds to discussions of translations and rotations of axes, and of the general equation of the second degree. The concept of the line at infinity is introduced, and the main properties of conics and pencils of conics are derived from the general equation. The fundamentals of cross-ratio, homographic correspondence, and line-coordinates are explored, including applications of the latter to focal properties. The final chapter provides a compact account of generalized homogeneous coordinates, and a helpful appendix presents solutions to many of the examples.

Synopsis:

This concise text introduces analytical geometry, covering basic ideas and methods. An invaluable preparation for more advanced treatments, it features solutions to many of its problems. 1957 edition.

Synopsis:

This concise text introduces students to the elements of analytical geometry, covering basic ideas and methods. Topics include transformation of axes, the line at infinity, conics and pencils of conics, homographic correspondence, line-coordinates, and generalized homogeneous coordinates. An appendix discusses solutions to many of the examples. 1957 edition.

Product Details

ISBN:
9780486457734
Author:
Spain, Barry
Publisher:
Dover Publications
Author:
Mathematics
Subject:
Geometry, analytic
Subject:
Conic sections
Subject:
Mathematics-Geometry - General
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20070131
Binding:
TRADE PAPER
Language:
English
Illustrations:
68 figs.
Pages:
158
Dimensions:
8.5 x 5.38 in 0.36 lb

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Related Subjects


Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » Algebraic Geometry
Science and Mathematics » Mathematics » Geometry » General

Analytical Conics New Trade Paper
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Product details 158 pages Dover Publications - English 9780486457734 Reviews:
"Synopsis" by ,
This concise text introduces analytical geometry, covering basic ideas and methods. An invaluable preparation for more advanced treatments, it features solutions to many of its problems. 1957 edition.

"Synopsis" by ,
This concise text introduces students to the elements of analytical geometry, covering basic ideas and methods. Topics include transformation of axes, the line at infinity, conics and pencils of conics, homographic correspondence, line-coordinates, and generalized homogeneous coordinates. An appendix discusses solutions to many of the examples. 1957 edition.
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