Elementary Geometry from an Advanced Standpoint (3rd Edition) [Paperback]

Edwin Moise (Author)

Book Description

Publication Date: January 11, 1990 | ISBN-10: 0201508672 | ISBN-13: 978-0201508673 | Edition: 3

Students can rely on Moise's clear and thorough presentation of basic geometry theorems. The author assumes that students have no previous knowledge of the subject and presents the basics of geometry from the ground up. This comprehensive approach gives instructors flexibility in teaching. For example, an advanced class may progress rapidly through Chapters 1-7 and devote most of its time to the material presented in Chapters 8, 10, 14, 19, and 20. Similarly, a less advanced class may go carefully through Chapters 1-7, and omit some of the more difficult chapters, such as 20 and 24.

Product Details

• Paperback: 502 pages
• Publisher: Addison Wesley; 3 edition (January 11, 1990)
• Language: English
• ISBN-10: 0201508672
• ISBN-13: 978-0201508673
• Product Dimensions: 9.2 x 6.3 x 1.3 inches
• Shipping Weight: 1.9 pounds (View shipping rates and policies)
• Average Customer Review: 4.6 out of 5 stars  See all reviews (5 customer reviews)
• Amazon Best Sellers Rank: #820,381 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

31 of 31 people found the following review helpful:

5.0 out of 5 stars Geometry with a twinkle in the eye, June 28, 2000

By 

Patrick Cabe (North Carolina, USA) - See all my reviews
(REAL NAME)   

This review is from: Elementary Geometry from an Advanced Standpoint (3rd Edition) (Paperback)

This is probably the only math book I've actually read in its entirety. Moise delivers what could be very dry material with a lightness and sense of humor that kept me poking on through the book. The connections to other areas of math, especially (and not surprisingly) non-Euclidean geometries, is a big plus. I also liked the occasional historical interludes. There are a few spots where you may not see good pointers to the figures provided, but in general it is very clear what the author is referring to. The problem sets and Moise's own explanations afford excellent practice for the "proof-challenged," as well. I keep this book on my shelf as "ready reference." I wish Moise had written more math books!

18 of 21 people found the following review helpful:

5.0 out of 5 stars The new Elements, March 15, 2000

By 

Guilherme Rodrigues Magalhaes - See all my reviews

This review is from: Elementary Geometry from an Advanced Standpoint (3rd Edition) (Paperback)

Beginning by the elementary axioms the author builds all the great geometry theorems and formulas. Like a great romance, after begin to read you don't want stop until end.

3 of 3 people found the following review helpful:

5.0 out of 5 stars Geometry as precise as analysis, January 16, 2011

By 

Guilherme (São Paulo, SP, Brasil) - See all my reviews

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This review is from: Elementary Geometry from an Advanced Standpoint (3rd Edition) (Paperback)

Moise's book has a long history. In the 1960's, the same author wrote a simpler version of this book (with Downs) for use in high schools, a revolutionary deed since very precise mathematics is not usual in high school. One may be question if high school is the place to teach geometry in this way, but for the book written for undergrads this is unquestionable. I really do not know of any other book of its kind (there are advanced books of elementary geometry, but usually from the synthetic viewpoint which make them difficult to read at this point). In the same way that real analysis books (e.g., Apostol) gives for the student absolute rigour and precise proofs in the realm of real numbers and functions, Moise's book do the same for elementary Euclidean geometry. And it does so with easy-to-follow arguments and a good historical discussion. Although focused on the easier analytical viewpoint, that starts with real numbers as given entities, it explains how to obtain the same results by the more beautiful and historical synthetic viewpoint. The book has irresistible taste, as other reviewers already pointed out. But it is much more than that. It is possible to be a graduated mathematician and still not be able to prove with rigour results from elementary geometry. This book gives you this power. Once read, you can complement it with other results from elementary books, that can be reworked with the formalism you get from Moise's book. And you are much better prepared to understand more advanced books on the same subject, as the amazing Projective Geometry from Veblen and Young (probably one of the best books in Geometry ever written). So Elementary Geometry from an Advanced Viewpoint is really a book that gives immense power and helps you to understand the great human endeavour called Geometry. Very important work.