Exploring Classical Greek Construction Problems with Interactive Geometry Software

— —

Ad Meskens Paul Tytgat

Exploring Classical Greek Construction Problems with Interactive Geometry Software

Ad Meskens, Paul Tytgat

$99.95 $85.37

Paperback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Birkhauser Verlag AG
17 February 2017

Philosophy of mathematics; Geometry; History of mathematics

Series: Compact Textbooks in Mathematics

In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS). The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of IGS the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viète and Cusanus amongst others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves. By experimenting he will gain a deeper understanding of how mathematics is created. More than 100 exercises guide him through methods which were developed to try and solve the problems. The exercises are at the level of undergraduate students and only require knowledge of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for those students who are thinking of becoming a mathematics teacher and for mathematics teachers.

By: Ad Meskens, Paul Tytgat
Imprint: Birkhauser Verlag AG
Country of Publication: Switzerland
Edition: 1st ed. 2017
Dimensions: Height: 235mm, Width: 155mm, Spine: 11mm
Weight: 454g
ISBN: 9783319428628
ISBN 10: 3319428624
Series: Compact Textbooks in Mathematics
Pages: 185
Publication Date: 17 February 2017
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

1 Introduction.- 2 The Genesis of Geometry.- 3 Straightedge and compass constructions.- 4 The Delian Problem.- 5 Trisecting an angle.- 6 Squaring the circle.- 7 Constructible numbers.- 8 The Cinderella of regular polygons.- Afterthoughts.- Solutions.- Index.

Reviews for Exploring Classical Greek Construction Problems with Interactive Geometry Software

This book provides historical sketches to accompany the problems. This places the activity in context, and will motivate some students to look more closely at the culture and history of mathematics. I thoroughly enjoyed the opportunity to review this book, and recommend it to anyone interested in this area of mathematics. ... The book is clearly written while remaining brief and is excellently illustrated. The exercises are interesting and in my view well-judged for undergraduate students. (Chris Sangwin, International Journal of Research in Undergraduate Mathematics Education, Vol. 4, 2018)