The Foundations of Geometry and the Non-Euclidean Plane /
The Foundations of Geometry and the Non-Euclidean Plane is a self-contained text for junior, senior, and first-year graduate courses. Historical material is interwoven with a rigorous ruler- and protractor axiomatic development of the Euclidean and hyperbolic planes. Additional topics include the cl...
| Main Author: | |
|---|---|
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
1982.
|
| Series: | Undergraduate texts in mathematics.
|
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | The Foundations of Geometry and the Non-Euclidean Plane is a self-contained text for junior, senior, and first-year graduate courses. Historical material is interwoven with a rigorous ruler- and protractor axiomatic development of the Euclidean and hyperbolic planes. Additional topics include the classical axiomatic systems of Euclid and Hilbert, axiom systems for three and four dimensional absolute geometry, and Pieri's system based on rigid motions. Models, such as Taxicab Geometry, are used extensively to illustrate theory. |
|---|---|
| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xvi, 509 pages 274 illustrations) |
| ISBN: | 9781461257257 (electronic bk.) 1461257255 (electronic bk.) |
| ISSN: | 0172-6056 |