Elementary Euclidean Geometry: An Introduction

ISBN-13: 9780521834483 / Angielski / Twarda / 2004 / 192 str.

Christopher G. Gibson

Opis

This introduction to the geometry of lines and conics in the Euclidean plane is example-based and self-contained, assuming only a basic grounding in linear algebra. Including numerous illustrations and several hundred worked examples and exercises, the book is ideal for use as a course text for undergraduates in mathematics, or for postgraduates in the engineering and physical sciences.

Recenzje

'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'. Zentralblatt MATH

Spis treści

1. Points and lines; 2. The Euclidean plane; 3. Circles; 4. General conics; 5. Centres of general conics; 6. Degenerate conics; 7. Axes and asymptotes; 8. Focus and directrix; 9. Tangents and normals; 10. The parabola; 11. The ellipse; 12. The hyperbola; 13. Pole and polar; 14. Congruences; 15. Classifying conics; 16. Distinguishing conics; 17. Uniqueness and invariance.