The Circle: A Mathematical Exploration beyond the Line

Posamentier, Alfred S.; Geretschlager, Robert

ISBN 10: 1633881679 / ISBN 13: 9781633881679

Published by Prometheus, 2016

About this Item

349 Pp. Hardcover. First Printing Indicated. Fine In Fine Dust Jacket Priced $25.00.

Seller Inventory # 057074

Bibliographic Details

• Title: The Circle: A Mathematical Exploration beyond the Line
• Publisher: Prometheus
• Publication Date: 2016
• Language: English
• ISBN 10: 1633881679
• ISBN 13: 9781633881679
• Binding: Hardcover
• Edition: 1st Edition
• Printing: 1st Printing
• Condition: Fine
• Dust Jacket Condition: Fine
• Seller catalogs:
  • Mathematics

About this title

Synopsis

The circle has fascinated mathematicians since ancient times. This entertaining book describes in layperson's terms the many intriguing properties of this fundamental shape. If math has intimidated you, this may be the ideal book to help you appreciate the discipline through one of its most important elements.The authors begin with a brief review of the basic properties of the circle and related figures. They then show the many ways in which the circle manifests itself in the field of geometry--leading to some amazing relationships and truly important geometric theorems. In addition, they explore remarkable circle constructions and demonstrate how all constructions in geometry that usually require an unmarked straightedge and a compass can also be done with the compass alone. Among other things, the reader will learn that circles can generate some unusual curves - many even quite artistic. Finally, the role of circles in art and architecture and a discussion of the circle's place on the sphere bring "full circle" this presentation of a key element of geometry.

About the Author

Alfred S. Posamentier has published over sixty books in the area of mathematics and mathematics education, including, most recently, Numbers: Their Tales, Types, and Treasures (with Bernd Thaller). After having been on the faculty of the City College of the City University of New York for forty years, where he was a professor of mathematics education and dean of the School of Education, he subsequently held the same positions at Mercy College, New York, for five years. He is currently Chief Liaison for International Affairs at Long Island University.

Robert Geretschläger is a mathematics teacher at Bundesrealgymnasium Keplerstrasse in Graz, Austria. He is also an adjunct member of the mathematics faculty at the Karl-Franzens University in Graz, the coach of the Austrian International Mathematical Olympiad team, and the president of the "Kangaroo" student mathematics contest in Austria. He is the author of Geometric Origami, among other works.