Ebook Foundations of Geometry (2nd Edition), by Gerard Venema
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Foundations of Geometry (2nd Edition), by Gerard Venema
Ebook Foundations of Geometry (2nd Edition), by Gerard Venema
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Foundations of Geometry, Second Edition is written to help enrich the education of all mathematics majors and facilitate a smooth transition into more advanced mathematics courses. The text also implements the latest national standards and recommendations regarding geometry for the preparation of high school mathematics teachers—and encourages students to make connections between their college courses and classes they will later teach. This text's coverage begins with Euclid's Elements, lays out a system of axioms for geometry, and then moves on to neutral geometry, Euclidian and hyperbolic geometries from an axiomatic point of view, and then non-Euclidean geometry. Good proof-writing skills are emphasized, along with a historical development of geometry. The Second Edition streamlines and reorganizes material in order to reach coverage of neutral geometry as early as possible, adds more exercises throughout, and facilitates use of the open-source software Geogebra.
This text is ideal for an undergraduate course in axiomatic geometry for future high school geometry teachers, or for any student who has not yet encountered upper-level math, such as real analysis or abstract algebra. It assumes calculus and linear algebra as prerequisites.
- Sales Rank: #595956 in Books
- Published on: 2011-07-16
- Original language: English
- Number of items: 1
- Dimensions: 9.90" h x .90" w x 8.00" l, 1.43 pounds
- Binding: Paperback
- 408 pages
Most helpful customer reviews
0 of 0 people found the following review helpful.
Five Stars
By Rodolfo Molina
Excellent!
4 of 4 people found the following review helpful.
Modern Geometry course
By Derek
Everything is fine with this book, although it would be better if it was hard cover. But everything is explained in a (usually) understandable manner. There are a few tricky ones, but Venema covers everything well.
7 of 8 people found the following review helpful.
The Foundations of Geometry - Forgotten Books edition
By Sam Adams
The FORGOTTEN BOOKS edition of Hilbert's Foundations of Geometry isn't Hilbert's Geometry. Notice the number of pages (which I didn't when ordering it). This publication contains ONLY the diagrams in large format (with a very few absent) from the text of Hilbert's Geometry. There is no title page or author listed, but this is in fact what the content is from. It is clearly a scan from an old book, so there must be some historical context for it. Maybe someone can clarify the mystery. I give it 5 stars because these comments will probably show up among the reviews of Hilbert's full text and I don't want to skew the star rating of the book, but this particular reprint I don't find of any actual value, except that it's from Hilbert and there may be some interesting reason why it occurs as an independent publication.
Along with this reprint, I also ordered the FB Classic Reprint of Elements of Geometry and Trigonometry by Charles Davies. These two books are the first reprints I've purchased from any of the reprint publishers selling on amazon. For more on the quality of Forgotten Books reprints, see my review of Davies' book. The mysterious Hilbert-diagrams text they sell under the title of Hilbert's Foundations of Geometry is, I suspect, an anomaly. Besides, their honest page-count should raise questions about the content. Now you know what that content is.
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