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Table of contents:
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 include: 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.
Contents:
Preface
- 1
History and philosophy
- 2
Drawings and constructions
- 3
Plane geometry
- 4
Triangles, and triangle formulae
- 5
Isometries of R
- 6
Isometries of R'1
- 7
Circles, and other conics
- 8
Beyond isometry
- 9
Infinity
- 10
Complex geometry
- Bibliography
- List of notation
- Index
Brief Description:
Offers a tour of geometry, from Euclid through to algebraic geometry. This book shows how mathematicians use a variety of techniques to tackle problems, and it links geometry to other branches of mathematics. Topics covered include: transformations, triangle and circle theorems, Platonic solids, conics, similarities, affine, and more.
For Pricing and Availability Click Here
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