Geometry: Plane and Fancy (Undergraduate Texts in Mathematics) - Softcover

Singer, David A.

Softcover

ISBN 10: 1461268370 ISBN 13: 9781461268376

Publisher: Springer, 2012

Synopsis

A fascinating tour through parts of geometry students are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclids fifth postulate lead to interesting and different patterns and symmetries, and, in the process of examining geometric objects, the author incorporates the algebra of complex and hypercomplex numbers, some graph theory, and some topology. Interesting problems are scattered throughout the text. Nevertheless, the book merely assumes a course in Euclidean geometry at high school level. While many concepts introduced are advanced, the mathematical techniques are not. Singers lively exposition and off-beat approach will greatly appeal both to students and mathematicians, and the contents of the book can be covered in a one-semester course, perhaps as a sequel to a Euclidean geometry course.

About this title

From the Back Cover

GEOMETRY: Plane and Fancy offers students a fascinating tour through parts of geometry they are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclid's fifth postulate leads to interesting and different patterns and symmetries.

Edition details

• Publisher: Springer
• Publication date: 2012
• Language: English
• ISBN 10: 1461268370
• ISBN 13: 9781461268376
• Binding: Paperback
• Number of pages: 162