Elementary Euclidean geometry: an introduction
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...
Gespeichert in:
| Beteilige Person: | |
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2003
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| Links: | https://doi.org/10.1017/CBO9780511755194 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xvi, 174 Seiten) |
| ISBN: | 9780511755194 |
Internformat
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| spelling | Gibson, Christopher G. 1940- Elementary Euclidean geometry an introduction C.G. Gibson Cambridge Cambridge University Press 2003 1 Online-Ressource (xvi, 174 Seiten) txt c cr 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. Erscheint auch als Druck-Ausgabe 9780521834483 |
| spellingShingle | Gibson, Christopher G. 1940- Elementary Euclidean geometry an introduction |
| title | Elementary Euclidean geometry an introduction |
| title_auth | Elementary Euclidean geometry an introduction |
| title_exact_search | Elementary Euclidean geometry an introduction |
| title_full | Elementary Euclidean geometry an introduction C.G. Gibson |
| title_fullStr | Elementary Euclidean geometry an introduction C.G. Gibson |
| title_full_unstemmed | Elementary Euclidean geometry an introduction C.G. Gibson |
| title_short | Elementary Euclidean geometry |
| title_sort | elementary euclidean geometry an introduction |
| title_sub | an introduction |
| work_keys_str_mv | AT gibsonchristopherg elementaryeuclideangeometryanintroduction |