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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
★★★★★ 2
I'm not sure what they're selling.
Gimbal extractor works. One of these guys needs to come down here and show me how the installer works. There is a driver for the bearing with pin but the driver rod itself has no hole like shown in the picture. How do you miss that?
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Reviewed in the United States on October 13, 2024
★★★★★ 5
Buen producto
Size: 10FT, Style: 16AWG-3C
Buen producto, cumple con su propósito
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Reviewed in the United States on March 10, 2026
★★★★★ 5
Very good for the price
Size: 30FT, Style: 16AWG-3C
Great for what I used it for
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Reviewed in the United States on October 2, 2024
★★★★★ 5
Worked out great
Size: 10FT, Style: 16AWG-3C
Just what we needed to rewire a light fixture with
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Reviewed in the United States on March 22, 2023
★★★★★ 5
Perfect to make extension cords
Size: 20FT, Style: 16AWG-3C
I have several portable tungsten work lights on stands. They product a high level of light which is great for work in a place without adequate lighting. I can move the lights around and get the best lighting. The problem is that they have short cords. This wire, the 16AWG (with the addition of a plug and a receptacle) will solve that problem. The outer jacket is rugged enough to handle daily use and it is light enough that it is not a bother to carry several to the work site.
With a rating of 13.1 amps it maybe a little light to use as a replacement cord for power tools, but this wire does come in several other sizes including 14AWG which should work on most tools.
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Reviewed in the United States on November 18, 2022
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