Geometry

Ancient and Modern
Erscheinungsjahr 2001
ISBN: 978-0-19-850758-1
Verlag: OUP Oxford

Buch, Englisch, 328 Seiten, Print PDF, Format (B × H): 161 mm x 240 mm, Gewicht: 663 g

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 mathematic.s It is a teaching text, with a large number of exercises woven into the exposition. Topics covered: ruler and compasses constructions, 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.

Autoren/Hrsg.

Silvester, John R.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Euklidische Geometrie

Inhaltsverzeichnis

- Preface

- 1: History and philosophy

- 2: Drawings and constructions

- 3: Plane geometry

- 4: Triangles, and triangle formulae

- 5: Isometries of R²

- 6: Isometries of R¹1

- 7: Circles, and other conics

- 8: Beyond isometry

- 9: Infinity

- 10: Complex geometry

- Bibliography

- List of notation

- Index