epub |eng | 2015-07-21 | Author:Corry, Leo

6.5 Euclid’s Elements in the Renaissance I would like to conclude this chapter with a particularly illuminating perspective on the contemporary conceptions of number that arises from looking at various ...

epub |eng | 2014-08-13 | Author:Erickson, Martin J., Bindner, Donald, Hemmeter, Joe & Martin J. Erickson & Joe Hemmeter

Groups and Geometry Recall that a group is a set with an operation satisfying certain properties. Groups can describe the symmetries of an object. Here is a small example. Consider ...

epub, pdf |eng | | Author:Mak Trifković

5.3 Minkowski’s Theorem The geometric fact alluded to at the end of the previous section is Minkowski’s theorem: a planar region that is sufficiently big, symmetric, and regular contains a ...

epub |eng | | Author:Frazer Jarvis

Corollary 6.17 Suppose that is a reduced binary quadratic form. Then if , there are automorphs of , given by ; if , there are automorphs of , given by ...

epub, azw3, pdf |eng | 0101-01-01 | Author:Marcus du Sautoy [du Sautoy, Marcus]

CHAPTER EIGHT Machines of the Mind I propose to consider the question, ‘Can machines think?’ Alan Turing, Computing Machinery and Intelligence Alan Turing’s name will always be associated with the ...

epub, pdf |eng | 1976-12-31 | Author:Simon Singh [Singh, Simon]

I wanted certainty in the kind of way in which people want religious faith. I thought that certainty is more likely to be found in mathematics than elsewhere. But I ...

mobi, epub, pdf |eng | 1997-09-15 | Author:by Richard A. Dunlap

epub |eng | 2012-10-22 | Author:H. A. Thurston [Thurston, H. A.]

Therefore (i) is true when x = 0. And Therefore (ii) is true when x = 0. Therefore 0 ∈ M. If z ∈ M, let (θ(z, y) is defined, ...

epub |eng | 1984-05-25 | Author:Richard A. Silverman

epub |eng | 2014-05-08 | Author:Michael S. Schneider

The thorns of the rose wrap around in opposite spirals, revealing the subtle energy pattern of the archetypes of the creating process. The architecture of upright plants shows that they ...

epub |eng | 2011-05-24 | Author:du Sautoy, Marcus

HOW CAN MATH HELP YOU WIN AT MONOPOLY? Monopoly appears to be a pretty random game. You throw two dice and speed around the board in your car or strut ...

epub, mobi, pdf |eng | | Author:Frenkel, Edward [Frenkel, Edward]

*Vera Serganova, the fourth recipient of the Harvard Prize Fellowship, came in the spring. Chapter 14 Tying the Sheaves of Wisdom The spring semester brought more visitors to Harvard, one ...

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 ...

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 ...

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 ...