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College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle (Dover Books on Mathematics) (Englisch) Taschenbuch – 19. April 2007

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  • College Geometry: An Introduction to the Modern Geometry of the Triangle and the Circle (Dover Books on Mathematics)
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  • Advanced Euclidean Geometry (Dover Books on Mathematics)
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52 von 53 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen A classic on Euclidean geometry 22. Juni 2007
Von J. Bogaarts - Veröffentlicht auf Amazon.com
Format: Taschenbuch Verifizierter Kauf
Thank you Dover!! This is one of the two English books in print that give a fairly complete introduction to advanced Euclidean geometry, the other one being the comparable text by R A Johnson, Advanced Euclidean Geometry (Dover Books on Mathematics). The book contains all the classical theorems with full proofs, including many theorems that belong to the so called triangle geometry that was developed in the last quarter of the nineteenth century. Due to geometry software the subject is becoming popular again. The book also contains a treasure of exercises, but no solutions which could be a nuisance. But what use are the solutions? Problems should be solved and not looked up!. Many problems are about geometric constructions. If you prepare for a mathematical contest or if you are interested in a complete overview of the classical plane geometry (for instance after reading Ross Honsberger's "Episodes"), this is your book.

The book assumes that you are familiar with simple geometrical concepts like congruence of triangles, parallelograms, circles and the most elementary theorems and constructions as can be found in Kiselev's book Kiselev's Geometry / Book I. Planimetry.
0 von 2 Kunden fanden die folgende Rezension hilfreich
4.0 von 5 Sternen A valuable book for the post 101 geometer 13. August 2013
Von mr. d. - Veröffentlicht auf Amazon.com
Format: Taschenbuch Verifizierter Kauf
What Altshiller presents here is the cleanup of Roger Johnson's 1929 "Modern Geometry", which summarized the Euclidean geometry up to its time, was user unfriendly, quick-fixing in proofs and dumped most of the work onto the reader rather than giving the appropriate explanations.
Altshiller's book follows the concept of Johnson's. It is reviewed, and most of the mistakes are removed, if there were any. He brings exercises without solutions, type one which result d i r e c t l y out of the previous lesson and are actually fun to be worked out, and type two "supplementary exercises", often far beyond the theorems nearby and excessively difficult. This group should have been presented with hints and solutions - because, the way they stand now, some of them will never be solved.
Also, another modern edition would do some good, including a larger format and computerized (sketchpad) diagrams.
The difficult chapter on i n v e r s i o n with the new tricks You must learn
there runs too short in my opinion.
While the book is "intensively used", the paperback version falls apart.
In summary: a valuable addition on the small market of good geometry publications.
9 von 14 Kunden fanden die folgende Rezension hilfreich
3.0 von 5 Sternen They could have made the book bigger 12. Juni 2011
Von O. Long - Veröffentlicht auf Amazon.com
Format: Taschenbuch Verifizierter Kauf
The book reads well, but handles badly. This type of book should be printed on larger paper and have a spine that makes it easy to lay it open. If you're drawing the diagrams its hard to keep the book open while you draw. The geometry is excellent, the physical aspects of the book not so much.
3 von 8 Kunden fanden die folgende Rezension hilfreich
3.0 von 5 Sternen Great for a College level mathematician. 31. Dezember 2012
Von lgib - Veröffentlicht auf Amazon.com
Format: Taschenbuch Verifizierter Kauf
This book was chosen for a high school math competition. One of my best competitors and outstanding math students had great difficulty with the material. As the coach, I found the diagram placement and the choice of labeling difficult to follow.
2 von 16 Kunden fanden die folgende Rezension hilfreich
1.0 von 5 Sternen A bad precident for the subject. 9. Januar 2013
Von RogerOverAndOut - Veröffentlicht auf Amazon.com
Format: Taschenbuch Verifizierter Kauf
I purchased this book in order to learn about different shapes and their parameters and names as I've always had an interest in geometry and shapes, and thus far have only taken a few college level trig/algebra classes, and to my knowledge my local community college doesn't even have a geometry class. I found this book difficult to follow and the author's use of english language foreign to the common United States English language speaker. He starts out with the words to instuctor explaining how geometry has lost popularity over the years, and in the words to the student he hits home the proof as to why that is the trend. lol. I'm definately going to look elsewhere to learn about geometry. Also I agree with the comment about the book being too small.
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