Euclidean Geometry and its Subgeometries
- Hardcover
527 pages
- Release Date
12 January 2016
Summary
In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. This is the only axiomatic treatment of Euclidean geometry that uses axioms not involving metric notions and that explores congruence and isometries by means of reflection mappings. The authors present thirteen axioms in sequence, proving as …
Book Details
| ISBN-13: | 9783319237749 |
|---|---|
| ISBN-10: | 3319237748 |
| Author: | Edward John Specht, Harold Trainer Jones, Keith G. Calkins, Donald H. Rhoads |
| Publisher: | Birkhauser Verlag AG |
| Imprint: | Birkhauser Verlag AG |
| Format: | Hardcover |
| Number of Pages: | 527 |
| Edition: | 1st |
| Release Date: | 12 January 2016 |
| Weight: | 939g |
| Dimensions: | 235mm x 155mm |
What They're Saying
Critics Review
“This is the most detailed undergraduate textbook on the axiomatic foundation of Euclidean geometry ever written.” (Victor V. Pambuccian, Mathematical Reviews, July, 2016)
“The authors do a commendable job of writing out proofs in detail and attempting to make the text accessible to undergraduates. … It makes a very useful reference source, and … there aren’t very many current textbooks that discuss geometry from this particular point of view. I commend this book to the attention of instructors with an interest in the foundations of geometry, and to university librarians.” (Mark Hunacek, MAA Reviews, maa.org, March, 2016)
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