Geometry Ancient and Modern
Seiten
2001
Oxford University Press (Verlag)
978-0-19-850825-0 (ISBN)
Oxford University Press (Verlag)
978-0-19-850825-0 (ISBN)
For students who studied no geometry at school . This problem-based course starts with some history and moves on to constructions, plane geometry, circles and conics to end with an introduction to algebraic geometry
This book is a guided tour of geometry, from Euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle problems, and it links geometry to other branches of mathematics. It is a teaching text, with a large number of exercises woven into the exposition. Topics covered: ruler and compass r s1tructions, transformations, triangle and circle theorems, classification of isometries and groups of isometries in dimensions 2 and 3, Platonic solids, conics, similarities, affine, projective and Mobius transformations, non-Euclidean geometry, projective geometry, the beginnings of algebraic geometry.
This book is a guided tour of geometry, from Euclid through to algebraic geometry. It shows how mathematicians use a variety of techniques to tackle problems, and it links geometry to other branches of mathematics. It is a teaching text, with a large number of exercises woven into the exposition. Topics covered: ruler and compass r s1tructions, transformations, triangle and circle theorems, classification of isometries and groups of isometries in dimensions 2 and 3, Platonic solids, conics, similarities, affine, projective and Mobius transformations, non-Euclidean geometry, projective geometry, the beginnings of algebraic geometry.
Preface ; 1. History and philosophy ; 2. Drawings and constructions ; 3. Plane geometry ; 4. Triangles, and triangle formulae ; 5. Isometries of R^2 ; 6. Isometries of R'1 ; 7. Circles, and other conics ; 8. Beyond isometry ; 9. Infinity ; 10. Complex geometry ; Bibliography ; List of notation ; Index
| Erscheint lt. Verlag | 5.4.2001 |
|---|---|
| Zusatzinfo | numerous figures |
| Verlagsort | Oxford |
| Sprache | englisch |
| Maße | 156 x 235 mm |
| Gewicht | 465 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| ISBN-10 | 0-19-850825-5 / 0198508255 |
| ISBN-13 | 978-0-19-850825-0 / 9780198508250 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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