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  1. Home
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  3. Elementary Euclidean Geometry
  • Cited by 6
Publisher:
Cambridge University Press
Online publication date:
July 2010
Print publication year:
2004
Online ISBN:
9780511755194
DOI:
https://doi.org/10.1017/CBO9780511755194
Subjects:
Mathematics, Real and Complex Analysis
Information

Book description

This book, first published in 2004, 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.

Reviews

'This is a nice and self-contained introduction into the geometry of the lines and the conics in the Euclidean plane within an analytical context'.

Source: Zentralblatt MATH

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