Book review: Exploring Classical Greek Construction Problems with Interactive Geometry Software

Book review: Exploring Classical Greek Construction Problems with Interactive Geometry Software Int. J. Res. Undergrad. Math. Ed. (2018) 4:323–326 https://doi.org/10.1007/s40753-018-0070-0 Book review: Exploring Classical Greek Construction Problems with Interactive Geometry Software Chris Sangwin Published online: 11 April 2018 © Springer International Publishing AG, part of Springer Nature 2018 This is a review of Exploring Classical Greek Construction Problems with Interactive Geometry Software by Meskens and Tytgat (2017). As the name implies, the book is devoted to an analysis of classical Greek con- struction problems. In particular the core of the book contains three chapters. Chapter 4 considers The Delian Problem, also known as duplicating the cube; Chapter 5 con- siders Trisecting an angle and Chapter 6 Squaring the circle. To set the scene Chapter 2 gives a Genesis of Geometry, including a discussion of mechanical construction aids. This leads to a more formal discussion in Chapter 3 of constructions with compass and straightedge. The last two chapters round off the story by discussing constructible numbers and the regular polygons. Despite the title, the book actually contains a broad range of core ideas from the heart of mathematics. For example, Chapter 6 has an interesting discussion of infinitesimal arguments, related to the cal- culation of area. There is also some use http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Research in Undergraduate Mathematics Education Springer Journals

Book review: Exploring Classical Greek Construction Problems with Interactive Geometry Software

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer International Publishing AG, part of Springer Nature
Subject
Education; Mathematics Education; Learning and Instruction
ISSN
2198-9745
eISSN
2198-9753
D.O.I.
10.1007/s40753-018-0070-0
Publisher site
See Article on Publisher Site

Abstract

Int. J. Res. Undergrad. Math. Ed. (2018) 4:323–326 https://doi.org/10.1007/s40753-018-0070-0 Book review: Exploring Classical Greek Construction Problems with Interactive Geometry Software Chris Sangwin Published online: 11 April 2018 © Springer International Publishing AG, part of Springer Nature 2018 This is a review of Exploring Classical Greek Construction Problems with Interactive Geometry Software by Meskens and Tytgat (2017). As the name implies, the book is devoted to an analysis of classical Greek con- struction problems. In particular the core of the book contains three chapters. Chapter 4 considers The Delian Problem, also known as duplicating the cube; Chapter 5 con- siders Trisecting an angle and Chapter 6 Squaring the circle. To set the scene Chapter 2 gives a Genesis of Geometry, including a discussion of mechanical construction aids. This leads to a more formal discussion in Chapter 3 of constructions with compass and straightedge. The last two chapters round off the story by discussing constructible numbers and the regular polygons. Despite the title, the book actually contains a broad range of core ideas from the heart of mathematics. For example, Chapter 6 has an interesting discussion of infinitesimal arguments, related to the cal- culation of area. There is also some use

Journal

International Journal of Research in Undergraduate Mathematics EducationSpringer Journals

Published: Apr 11, 2018

References

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