
This is a guided tour of geometry, from Euclid through to algebraic geometry for students with little or no geometry studies. It shows how mathematicians use a variety of techniques to tackle problems, and links geometry to other branches of mathematics. It is a teaching text, with large numbers 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 3, Platonic solids, conics, similarities, affine, projective and Mobius transformations, non-Euclidean geometry, projective geometry, and the beginnings of algebraic geometry.
This text investigates the evolution of geometric thought by bridging classical Euclidean principles with modern algebraic techniques. Author John R. Silvester provides a structured pedagogical framework designed for students with limited prior exposure to the subject. By integrating historical context with rigorous problem-solving exercises, the book demonstrates how geometric concepts serve as a foundational pillar for broader mathematical inquiry.
What You Will Find
Educators and students frequently identify this work as a highly accessible entry point for those seeking to connect historical geometric methods with contemporary mathematical applications. The text is noted for its dense integration of exercises, which experts highlight as a primary feature for reinforcing conceptual understanding in a classroom setting.
Page Count:
328
Publication Date:
2001-06-21
Publisher:
Oxford University Press
ISBN-10:
0198507585
ISBN-13:
9780198507581
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