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Experiencing Geometry (3rd Edition) 3rd Edition

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David W. Henderson (Author)
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David W. Henderson (Author),
Daina Taimina (Author)
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Daina Taimina (Author)
3.7 out of 5 stars 6 customer reviews
ISBN-13: 978-0131437487
ISBN-10: 0131437488
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Product Details

  • Paperback: 432 pages
  • Publisher: Pearson; 3 edition (August 7, 2004)
  • Language: English
  • ISBN-10: 0131437488
  • ISBN-13: 978-0131437487
  • Product Dimensions: 6.9 x 1 x 9 inches
  • Shipping Weight: 1.3 pounds (View shipping rates and policies)
  • Average Customer Review: 3.7 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Best Sellers Rank: #842,968 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

9 of 11 people found the following review helpful
interesting approach
By Matthew H. Holden on May 25, 2006
Format: Paperback
This book takes an interesting approach to exploring geometry with a lot of drawings and instructions on how to create physical models. however a lot of the knowledge is placed on the user to explore the subject and think. a lot of theorems and lemmas are not given or proven in the book. i think this book is great along side a course in undergraduate geometry, but lacks examples, excersises, and solutions, too much so to be used for self study. so overall a great textbook but not a great book to read during your free time. for that reason i only give it 3 stars.
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5 of 6 people found the following review helpful
Some good surface geometry, then poor
By Viktor Blasjo on March 25, 2007
Format: Paperback
The first five chapters or so are an interesting and intuitive introduction to surface geometry. We "experience" the geometry of a sphere by stretching rubber bands on tennis balls or rolling them across freshly painted floors etc., and make observations like "The water strider is very sensitive to motion and vibration on the water's surface, but it can be approached from above or below without its knowledge. Hungry birds and fish take advantage of this fact." Then we study cylinders and cones. Since they have zero curvature their straight lines can be be understood as straight lines on their covering surfaces (straightness is preserved when a cylinder unfolds like a roll of toilet paper, etc.). Then hyperbolic geometry. The plane of hyperbolic geometry can be built by pasting together thin, semi-circular annuli. It can also be crocheted by the same principle. The pseudosphere (a hyperbolic cylinder) is easier to build: just pile up increasingly pointy cones. It can also be successfully crocheted. The annular plane is essentially a pseudosphere cut lengthwise. Thus it is a hyperbolic piece of paper rather than a hyperbolic cylinder, which should be a good thing. But unfortunately the annular plane cannot be extended very far without scrunching up. This defeats its purpose. It would be very difficult to develop any intuition for Euclidean geometry by working on a piece of paper scrunched up to a ball; a good, clean cylinder would be much more useful, provided of course that its imperfections are kept in mind. So I think we might as well stick to the pseudosphere. Over the next few chapters the "experiencing" approach deteriorates slightly, and necessarily so I think, as we study triangle congruencies and parallelism. The fruits of our efforts are limited.Read more ›
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Challenging, good text
By Ruthanna Wantz on February 6, 2015
Format: Paperback Verified Purchase
Challenging text, well written. Any class using this book will be difficult!
Most of the time the text is so thorough that you could learn the material alone with a group of students--and no teacher!
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