This text 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 constructions; transformations; triangle and circle theorems; classification of isometries and groups of isometries in dimensions 2 and Platonic solids; conics; similarities; affine; projective and Mobius transformations; non-Euclidean geometry; projective geometry; and the beginnings of algebraic geometry.
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John R. Silvester is at King's College London.
"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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Hardcover. Condition: new. Hardcover. 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 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 Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198507581
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