The great mathematical problems marvels and mysteries of mathematics
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Descartes' La Geometrie 1637 Boyer, Carl B. Reprinted as New York: Dover, 1963. Chronologically organized, each entry is short enough to digest in a few minutes and is presented along with a striking full-color image. Sumario Compendioso 1556 Smith, David Eugene Introduction and translator The Sumario Compendioso of Brother Juan Díez Boston: Ginn and Company, 1921. As many readers are aware, Internet Web sites come and go.

Weisstein, on pi , e , Khinchin's Constant , irrational numbers , transcendental numbers , and irrationality measures at Wolfram MathWorld, all articles accessed 15 December 2014. The conjecture, which dates back to 1844, was recently proven by the Swiss mathematician Preda Mihăilescu. Hargittai, Istvan and Clifford A. The Clay Mathematics Institute hereby awards the Millennium Prize for resolution of the Poincaré conjecture to Grigoriy Perelman. Clarke thinks big, but Cliff Pickover outdoes them both. Nunes, Pedro, Opera, Basel, 1566.

Playing with these Humble numbers might lead you to make some conjectures of your own: Are there infinitely many Humble Numbers? Entertaining introduction to many strange and surprising ideas. You can find out more about recent mathematical results on Giuga numbers in this. Is every even integer greater than 2 equal to the sum of two primes? I would say that there is, but it takes some effort to put our finger on it. Lecture Notes in Computer Science. Then I made the fatal error - I read the reviews on the back cover.

And thus, like many others in this list, contributed to the development of modern mathematical notation. Gardner , Martin, Knotted Doughnuts and Other Mathematical Entertainments New York: W. Paulos explains the answer — which, surprisingly or not , is 50 pounds — very clearly and simply, the way he explains the answers of all the other little puzzles he drops into the text as he discusses gossip, celebrity, cooking, bargains, infectious disease, and a host of other subjects that maths can either illuminate or obfuscate, depending on how well you understand it and the logic that underlies it. The book lets readers glimpse the history and development of mathematics and leaves a sense of awe at just how far the field has come. Why not test some of your own whole numbers? Kasner, Edward and James Newman, Mathematics and the Imagination New York: Dover, 2001. We have taken reasonable measures to protect information about you from loss, theft, misuse or unauthorised access, disclosure, alteration and destruction. Can we write an equation to predict the gravitational interaction of three celestial bodies? Paulos even describes how taking measures against discrimination can make its supposed effects worse.

Where the maths is too complicated to expound in detail, he gives enough of a feel for what it is about for the layman to perceive the essence. Patent 4,074,778 February 21, 1978. Having come up with idea of a computing style machine before the war, he is considered one of the first true computer scientists. A lot of amateurs will do much better and this book is worth trying anyway. The Cord Keepers: Khipus and Cultural Life in a Peruvian Village. Louis Gros, Theorie du Baguenodier Lyon: Aime Vingtrinier, 1872 , published anonymously.

Then again, I did not read anything that was directly germane to my work. The topic, maths, is one of interest to me. It is maths contaminated with wit, wisdom, and wonder. Guiga numbers are not primes themselves, but they have a very special property. Here also are remarkable thinkers from Pythagoras and Euclid to modern-day math icon Martin Gardner and cosmologist Max Tegmark.

Well written, engaging, and with loads of stuff in there that I had not read before. The Humble Numbers We'll define the Humble numbers to be those non-prime numbers with prime factors that satisfy The first Humble number is 6, as And the next Humble number is 10, as Why don't you try out a few yourself? Grasshoff, Gerd, The History of Ptolemy's Star Catalogue New York: Springer, 1990. Old and New Unsolved Problems in Plane Geometry and Number Theory. The Math Book From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics , Sterling Publishing Buy at and. Spicci, Joan, Beyond the Limit: The Dream of Sofya Kovalevskaya New York: Forge, 2002.

We use MailChimp to issue our newsletters, donation requests and reader surveys. This work, although circulated in a manuscript to several peers in 1671, did not officially appear in print until 1736 as an English translation. In fact, only the four-colour problem has been solved. In the 1950s, Hungarian mathematician Laszlo Fejes-Toth, showed that the most efficient stacking arrangement of spheres could be determined by examining a finite cluster of spheres. Geospatial Profiling image via: Can math help catch serial killers? Imagine a race of mathematician aliens attempting to solve the Cube at all size scales.