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Description
100 Great Problems of Elementary Mathematics"The collection, drawn from arithmetic, algebra, pure and algebraic geometry and astronomy, is extraordinarily interesting and attractive." Mathematical Gazette This uncommonly interesting volume covers 100 of the most famous historical problems of elementary mathematics. Not only does the book bear witness to the extraordinary ingenuity of some of the greatest mathematical minds of history Archimedes, Isaac Newton, Leonhard Euler, Augustin Cauchy,
"The collection, drawn from arithmetic, algebra, pure and algebraic geometry and astronomy, is extraordinarily interesting and attractive." -- Mathematical GazetteThis uncommonly interesting volume covers 100 of the most famous historical problems of elementary mathematics. Not only does the book bear witness to the extraordinary ingenuity of some of the greatest mathematical minds of history -- Archimedes, Isaac Newton, Leonhard Euler, Augustin Cauchy, Pierre Fermat, Carl Friedrich Gauss, Gaspard Monge, Jakob Steiner, and many others -- but it provides rare insight and inspiration to any reader, from high school math student to professional mathematician. This is indeed an unusual and uniquely valuable book.
The one hundred problems are presented in six categories: 26 arithmetical problems, 15 planimetric problems, 25 classic problems concerning conic sections and cycloids, 10 stereometric problems, 12 nautical and astronomical problems, and 12 maxima and minima problems. In addition to defining the problems and giving full solutions and proofs, the author recounts their origins and history and discusses personalities associated with them. Often he gives not the original solution, but one or two simpler or more interesting demonstrations. In only two or three instances does the solution assume anything more than a knowledge of theorems of elementary mathematics; hence, this is a book with an extremely wide appeal.
Some of the most celebrated and intriguing items are: Archimedes' "Problema Bovinum," Euler's problem of polygon division, Omar Khayyam's binomial expansion, the Euler number, Newton's exponential series, the sine and cosine series, Mercator's logarithmic series, the Fermat-Euler prime number theorem, the Feuerbach circle, the tangency problem of Apollonius, Archimedes' determination of pi, Pascal's hexagon theorem, Desargues' involution theorem, the five regular solids, the Mercator projection, the Kepler equation, determination of the position of a ship at sea, Lambert's comet problem, and Steiner's ellipse, circle, and sphere problems.
This translation, prepared especially for Dover by David Antin, brings D rrie's "Triumph der Mathematik" to the English-language audience for the first time.
Binding Type: Paperback
Publisher: Dover Publications
Published: 06/01/1965
ISBN: 9780486613482
Pages: 416
Weight: 0.93lbs
Size: 8.50h x 5.44w x 0.78d
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Product Reviews
★★★★★ 5
Great Ball
Size: 6 Inch, Color: Red
Our Little Goldendoodle Loves this ball & I like that it has so many straps to grab so I'm not getting the slimy part. It does not come already inflated so make sure you or a neighbor have an air compressor to blow it up because even though it came with a little pump I can't imagine how many weeks I'd have been pumping that without noticing any difference.
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Reviewed in the United States on May 2, 2026
★★★★★ 5
Virtually indestructible
Size: 8 Inch, Color: Red
Long lasting ball for a large dog. Bought the first one a few years ago. Its been outside all this time, still full of air and was virtually impossible for my large dog to destroy it. The weather affected the surface so ordered a new one. This has outlasted all the other balls.
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Reviewed in the United States on April 14, 2026
★★★★★ 4
Great toy for larger dogs
Size: 8 Inch, Color: Pink
This is holding up pretty well with my Great Pyrenees pup. She was able to pull all of the tags off-but the ball is intact for several weeks!
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Reviewed in the United States on June 24, 2025
★★★★★ 5
QDAN has great durable dog toys
Size: 8 Inch, Color: Yellow
It’s very durable ball lots of fun for dogs
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Reviewed in the United States on March 24, 2026
★★★★★ 5
So much fun
Size: 8 Inch, Color: Pink
Best money ever spent hours of fun. We have 3 dogs. They all love to play with this toy. We got the size 3 large is what we ordered. I'm not going to lie I thought it would be bigger when I ordered it. Two of our dogs are large breeds and the other is medium. It's not too big for the medium to play with it. It comes with a ball pump included so convenient. The little tabs are very durable. I can't recommend this enough. This has no squeaking or any sounds. It's nice that you can play with your four legged companion or you can have them play tug or just enjoy pushing the ball around. It is very versatile in play and stimulation.
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Reviewed in the United States on June 8, 2025
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