Geometry Ancient and Modern - Ancient and Modern

Zusatztext The approach is traditional - definitions are precise, propositions are posed, theorems and corollaries are proved - but it is not dull. Klappentext 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 Zusammenfassung 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. 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

Product details

• Authors: John R. Silvester, John R. (King's College London) Silvester, John R. (King''s College London) Silvester, Silvester John R.
• Publisher: Oxford University Press
• Languages: English
• Product format: Hardback
• Released: 01.04.2001
• EAN: 9780198507581
• ISBN: 978-0-19-850758-1
• No. of pages: 328
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; MATHEMATICS / Geometry / General, MATHEMATICS / Trigonometry, Euclidean geometry, Trigonometry