By Robert Crease
Listed here are the tales of the 10 preferred equations of all time as voted for by means of readers of "Physics World", together with - accessibly defined the following for the 1st time - the favorite equation of all, Euler's equation. every one is an equation that captures with appealing simplicity what can purely be defined clumsily in phrases. Euler's equation [eip + 1 = zero] was once defined through respondents as 'the so much profound mathematic assertion ever written', 'uncanny and sublime', 'filled with cosmic attractiveness' and 'mind-blowing'. jointly those equations additionally quantity to the world's such a lot concise and trustworthy physique of information. Many scientists and people with a mathematical bent have a tender spot for equations. This e-book explains either why those ten equations are so appealing and important, and the human tales at the back of them.
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Additional info for A Brief Guide to the Great Equations: The Hunt for Cosmic Beauty in Numbers
In that place, this particular right-angled triangle is nothing special; all are the same and we do not have to start the proof all over again to be certain of it. Something lies behind this particular triangle, of which it is but an instance. The experience is comforting, even thrilling, and you do not forget it. The proof arrives as the answer to a puzzle in a language that you did not have beforehand, a language that arrives in that instant yet which, paradoxically, you sense you already possessed.
He’s found the answers within himself? Yes. ’) And if we insist on sticking to the terms of Meno’s paradox and say that the boy either knew or didn’t know, then he must have known but forgotten, just as the legend said. Right, Meno admits. I wouldn’t swear to all of the legend, Socrates says, but I’m sure it’s got grains of truth. Now that Meno is satisfied that learning is possible, the conversation reverts to the original question of virtue and how it might be taught. Socrates and Meno begin discussing who the teachers of virtue might be.
The first is: Why isn’t one proof enough? We know why one application is not enough: the point of a rule is that it applies to many different circumstances. But proofs? A small number of proofs of the Pythagorean theorem generalize the theorem that Euclid proved, and thus extend what he did. Most in Loomis’s collections, however, are not of that type. Nor do they make the result more certain than it already is. Their fascination lies in the scientific desire not merely to discover, but to view a discovery from as many angles as possible – to convert implicit possibilities, or merely hypothesized or assumed results, into actualities.