Description: This is a genuine introduction to the geometry of lines and conics in the Euclidean plane. Lines and circles provide the starting point, with the classical invariants of general conics introduced at an early stage, yielding a broad subdivision into types, a prelude to the congruence classification. A recurring theme is the way in which lines intersect conics. From single lines one proceeds to parallel pencils, leading to midpoint loci, axes and asymptotic directions. Likewise, intersections with general pencils of lines lead to the central concepts of tangent, normal, pole and polar. The treatment is example based and self contained, assuming only a basic grounding in linear algebra. With numerous illustrations and several hundred worked examples and exercises, this book is ideal for use with undergraduate courses in mathematics, or for postgraduates in the engineering and physical sciences.
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EAN: 9780521834483
UPC: 9780521834483
ISBN: 9780521834483
MPN: N/A
Number of Pages: 192 Pages
Publication Name: Elementary Euclidean Geometry : an Introduction
Language: English
Publisher: Cambridge University Press
Item Height: 0.6 in
Publication Year: 2004
Subject: Geometry / General, Mathematical Analysis
Type: Textbook
Item Weight: 15.9 Oz
Author: C. G. Gibson
Subject Area: Mathematics
Item Length: 8.9 in
Item Width: 5.9 in
Format: Hardcover