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Geometry: Ancient and Modern - Softcover

 
9780198508250: Geometry: Ancient and Modern

Synopsis

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.

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About the Author

John.R. Silvester is at King's College London.

Review


"An excellent book."--Mathematical Abstracts


"A first-year geometry teacher at King's College, London, UK guides the reader through the basic concepts and techniques of geometry, from Euclid through to algebraic geometry, in the most personable and friendly, yet stimulating, manner possible. With the stated purpose of exciting students to reason and calculate, the author borrows ideas and techniques from analysis and algebra, which he feels should ideally be studied alongside this material. Suitable for students who took little or no geometry at school, the text includes numerous exercises with answers provided."--SciTech Book News


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  • PublisherOxford University Press
  • Publication date2001
  • ISBN 10 0198508255
  • ISBN 13 9780198508250
  • BindingPaperback
  • LanguageEnglish
  • Edition number1
  • Number of pages328

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Paperback. Condition: new. Paperback. 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 2and 3, Platonic solids, conics, similarities, affine, projective and Mobius transformations, non-Euclidean geometry, projective geometry, the beginnings of algebraic geometry. 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 item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780198508250

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