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Geometric Constructions (Undergraduate Texts in Mathematics) 1998th Edition

3.5 out of 5 stars 4 customer reviews
ISBN-13: 978-0387982762
ISBN-10: 0387982760
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Product Details

  • Series: Undergraduate Texts in Mathematics
  • Hardcover: 206 pages
  • Publisher: Springer; 1998 edition (December 5, 1997)
  • Language: English
  • ISBN-10: 0387982760
  • ISBN-13: 978-0387982762
  • Product Dimensions: 6.1 x 0.6 x 9.2 inches
  • Shipping Weight: 1.1 pounds (View shipping rates and policies)
  • Average Customer Review: 3.5 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #2,111,836 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

13 of 14 people found the following review helpful By Craig Matteson HALL OF FAMETOP 500 REVIEWER on July 12, 2004
Format: Hardcover
This is a magical book. It took me a long time to find it, but I am glad that I did. I was never taught the nearly lost art of drawing geometrical figures with a straight edge and a compass. We did a tiny bit of paper folding in seventh grade, but I never really understood how to get to the core of the geometry.
This brief book makes it all a delightful game with clear notation and a tremendously logical orientation. It makes it possible for anyone who has a desire to learn this topic to get a solid grounding that will help all their further studies in geometry by providing a foundation in the intuitions of how the geometric proof is actually made.
I am so delighted to have found this book and recommend it to you highly.
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8 of 9 people found the following review helpful By Viktor Blasjo on March 24, 2007
Format: Hardcover
I don't like this book. For example, the proof of the key theorem that any ruler-and-compass construction can be carried out with compass alone is 10 pages long and very tedious. There is a much clearer, completely different proof in Courant & Robbins. I find it odd and inexcusable that Martin doesn't even mention this accessible proof. It is true that it uses inversions and that the purest of the pure Euclideans might prefer to avoid it for this reason, but this excuse is not available to Martin since, for example, the proof of Steiner's theorem that any ruler-and-compass construction can be carried out with ruler and one given circle is a half-page analytic magic proof that will have classical geometers turning in their graves.
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13 of 20 people found the following review helpful By G. Allen on July 20, 2004
Format: Hardcover
The book starts off strong with a thorough review of Euclid's constructions complete with explanations of the constructions themselves. Things go down rapidly from there.

Most of the remainder of the book is a very abstract discussion of constructability under various conditions. After the first chapter there are very few concrete constructions performed.

If you're looking for a discussion of the theoretical basis of geometric constructions under a variety of conditions this book is an excellent resource. If you're looking for practical, step-by-step constructions that go beyond Euclid you should look elsewhere.
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Format: Hardcover Verified Purchase
Lots of information in this one. I'm still trying to adsorb all of it. It fits well in my collection of math books.
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