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.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Undergraduate Texts in Mathematics |
Release date: |
December 2012 |
First published: |
1998 |
Authors: |
Davida Singer
|
Dimensions: |
235 x 155 x 9mm (L x W x T) |
Format: |
Paperback
|
Pages: |
162 |
Edition: |
Softcover reprint of the original 1st ed. 1998 |
ISBN-13: |
978-1-4612-6837-6 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
Promotions
|
LSN: |
1-4612-6837-0 |
Barcode: |
9781461268376 |
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