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Euclidean and Non-Euclidean Geometries: Development and History, by Marvin J. Greenberg
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This is the definitive presentation of the history, development and philosophical significance of non-Euclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, essentially according to Hilbert. Appropriate for liberal arts students, prospective high school teachers, math. majors, and even bright high school students. The first eight chapters are mostly accessible to any educated reader; the last two chapters and the two appendices contain more advanced material, such as the classification of motions, hyperbolic trigonometry, hyperbolic constructions, classification of Hilbert planes and an introduction to Riemannian geometry.
- Sales Rank: #59530 in Books
- Published on: 2007-09-28
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x 1.44" w x 6.14" l, 2.40 pounds
- Binding: Hardcover
- 637 pages
About the Author
MARVIN JAY GREENBERG, University of California, Santa Cruz, USA.
Most helpful customer reviews
1 of 1 people found the following review helpful.
Whether for class or for personal learning.
By Johnny
I really enjoy this book! I'm taking a geometry course in college, and I find the theorems, projects, and proof exercises rather fun. You get to learn about the history of geometry, and more importantly, you get to try out some of the proofs on geometry itself. Great book if you want to learn on your own. Some topics might be advanced, but no worries, just study the other topics, and presto, you can come back and tackle the more advanced problems.
3 of 4 people found the following review helpful.
Remarkable !
By André Gargoura
This is the most comprehensive exposition of non-euclidean geometries, with an emphasis on hyperbolic geometry.
Greenberg is didactic, clear, precise and gives here an illuminating treatment of those subjects, preceded by a very good review of both the euclidean background as well as the historical aspects.
I really enjoyed reading this book and wish Greenberg would give us the same marvel on elliptic geometry, one day, even though I realize he is retired...
0 of 0 people found the following review helpful.
Excellent book on geometry.
By Robert Perry
Fascinating. The history is quite good. Very interesting.
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