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Elementary Geometry from an Advanced Standpoint (3rd Edition), by Edwin Moise
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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.
- Sales Rank: #1155185 in Books
- Published on: 1990-01-11
- Original language: English
- Number of items: 1
- Dimensions: 9.10" h x 1.20" w x 6.10" l, 1.77 pounds
- Binding: Paperback
- 502 pages
From the Back Cover
One of the purposes of this book is to reexamine geometry, to clean up behind introductory courses, furnishing valid definitions and valid proofs for concepts and theorems which were already known, at least in some sense and some form.
Most helpful customer reviews
0 of 0 people found the following review helpful.
Surprisingly accessible fusion of Euclidean and modern approaches to geometry
By Sharon M. Christensen
I like the author's writing style, which is mathematical yet humorous at times. I also like the emphasis on precision of mathematical language.
0 of 0 people found the following review helpful.
Five Stars
By Amazon Customer
Amazing book. By far the best geometry book written.
22 of 23 people found the following review helpful.
Geometry as precise as analysis
By Guilherme
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.
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