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Foundations of Geometry (2nd Edition) [Paperback]

Gerard Venema

List Price: CDN$ 113.30
Price: CDN$ 102.22 & FREE Shipping. Details
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Paperback, July 6 2011 CDN $102.22  
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Book Description

July 6 2011 0136020585 978-0136020585 2

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.

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Amazon.com: 4.2 out of 5 stars  12 reviews
24 of 29 people found the following review helpful
5.0 out of 5 stars An excellent read. Feb. 6 2005
By Leroy E. Strong - Published on Amazon.com
This book is by far one of the leading texts in geometry. It contains interesting historical facts as well as an outstanding approach to proofs in an axiomatic system. I would recommend this book to anyone who is interested in pursuing a rigorous endeavor into geometry.
14 of 18 people found the following review helpful
4.0 out of 5 stars Great for Geometry High Schools Teachers July 15 2008
By Carlos A. Rodriguez - Published on Amazon.com
Format:Paperback|Verified Purchase
This is a book for a person who wants to know the real proofs of the things they are teaching in high school geometry. You could teach yourself many of these proofs and it also offers great references which one could find in case of any confusion.
2 of 2 people found the following review helpful
5.0 out of 5 stars Modern Geometry course Sept. 11 2013
By Derek - Published on Amazon.com
Format:Paperback|Verified Purchase
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.
3.0 out of 5 stars The seller that provided this book did a great job. It was in great condition and arrived ... July 26 2014
By Debi - Published on Amazon.com
Format:Paperback|Verified Purchase
Hey, its geometry. This was a required text for a class. It was a little hard to follow for a novice because it assumes you know a lot about other forms of math. In particular it uses a lot of symbols used in set notation, so if you are reading the text to learn specific postulates and theorems you may have to look somewhere else for the definition of the symbols. They do not have the definitions anywhere in the text. They also utilize some algebra without explanation. The seller that provided this book did a great job. It was in great condition and arrived in the time frame promised.
5.0 out of 5 stars I really enjoyed the exploration of triangles and circles July 29 2014
By Kat14 - Published on Amazon.com
I used the first edition of this book in my Senior level geometry class. It was a very enjoyable book for me. There was a lot of commentary about the history of the subject and concepts pertaining to geometry before it got into the theorem proof section. I really enjoyed the exploration of triangles and circles.

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