Pure Mathematics
epub, pdf |eng | 2012-07-17 | Author:Underwood Dudley

Lemma 3. Suppose that a, b, c is a fundamental solution of x2 + y2 = z2, and suppose that a is even. Then there are positive integers m and ...
( Category: Number Theory June 23,2014 )
epub |eng | 2012-10-18 | Author:Wayne A. Wickelgren

Stop reading and try to solve the problem. You could begin by trying various hypotheses as to sequences of filling the digits 1, 2, . . . 9 in the ...
( Category: Logic June 1,2014 )
epub, pdf |eng | 2011-01-30 | Author:Ian Livingstone

Score yourself using the TOUGH score table and turn to 11. 200 Dots and Triangles Start the clock! How many triangles of all possible sizes can you get from this ...
( Category: Logic May 31,2014 )
epub |eng | 2011-06-16 | Author:Marshall, Jason

a • (b + c) = a • b + a • c Right and a• (b − c) = a• b − a• c Right it is not okay ...
( Category: Algebra April 29,2014 )
epub |eng | 2012-05-07 | Author:Gregory Chaitin [Chaitin, Gregory]

There is a beautiful essay on the web about this by the quantum computer complexity theorist Scott Aaronson, “Who Can Name the Biggest Number?,” which I highly recommend and which ...
( Category: Discrete Mathematics April 17,2014 )
epub |eng | 2006-04-03 | Author:Norman Madarasz & Alain Badiou [Madarasz, Norman & Badiou, Alain]

5. The human intellect can also be defined by coupling. The immediate upshot of this is that the only points of truth are axiomatic and general. The singular is subtracted ...
( Category: Set Theory April 7,2014 )
epub, pdf |eng | 2004-12-31 | Author:Mario Livio

Shaken, Not Stirred Finding the love of your life through mathematics is not the only process where permutations are thrust into the limelight. Lotteries commonly provide such situations, and nowhere ...
( Category: Logic March 27,2014 )
epub |eng | | Author:Levi, Mark

Figure 8.7. Acceleration is in direct proportion to (velocity)2. Here is the same problem, restated: A rocket problem. A toy rocket flies in a circle of radius 1m, with its ...
( Category: Algebra March 27,2014 )
epub |eng | 2013-03-26 | Author:Alfred Tarski

37. Model and interpretation of a deductive theory As a result of a consistent application of the principles presented in the preceding section, deductive theories acquire certain interesting and important ...
( Category: Logic March 27,2014 )
epub |eng | 2005-09-16 | Author:Henry Ernest Dudeney [Dudeney, Henry Ernest]

"Surely you must be wrong, George," said Mrs. Allgood, "for if the posts are a hundred yards apart and it is half a mile farther over the hill, you have ...
( Category: Functional Analysis March 26,2014 )
epub, mobi |eng | 2012-10-29 | Author:Benoit Mandelbrot [Mandelbrot, Benoit B.]

Father Dies in 1951 Shepherding me toward Philips became the last in the long series of gifts from Father. I don’t recall either him or Mother being sick in bed ...
( Category: Fractals March 26,2014 )
mobi, epub |eng | 0101-01-01 | Author:Ian Stewart

The circumstantial evidence in favour of the truth of the Riemann hypothesis – either the original, or its generalisations – is extensive. Many beautiful things would follow from the truth ...
( Category: Number Theory March 25,2014 )
mobi, epub |eng | 2010-09-01 | Author:Charles Seife

A close election is the ideal breeding ground for proofiness of all kinds. When lawyers declared that the fluctuating vote totals in the Minnesota election were “statistically dubious”—implying that they ...
( Category: Logic March 25,2014 )
mobi, epub, pdf |eng | 2000-10-15 | Author:John D. Barrow

LAMBDA – A NEW COSMIC FORCE “If an elderly but distinguished scientist says that something is possible he is almost certainly right, but if he says that it is impossible ...
( Category: Number Theory March 25,2014 )
mobi, epub, pdf |eng | 2010-01-02 | Author:Jennifer Ouellette

One week before Christmas in 1664, a comet streaked across the sky over England. Astrologers claimed it was an omen of impending apocalypse. One William Lilly predicted that this, combined ...
( Category: Calculus March 25,2014 )