Einstein once said that it would be hard to teach in a co-ed college since guys were only looking on girls and not listening to the teacher. He was objected that they would be listening to HIM very attentively, forgetting about any girls. But such guys won't be worth teaching, - replied the great man.
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Ernst Eduard Kummer (1810-1893), a German algebraist and poor in arithmetic Kummer calculated 7 x 9: Kummer said to himself: "Hmmm the product cannot be61, because 61 is prime, it cannot be 65, because 65 is a multiple of 5, 67 is a prime, 69 is too big - Only 63 is left."
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John von Neumann (1903-1957) [Hungarian/US mathematician and scientist] Thefollowing problem can be solved either the easy way or the hard way. Two trains 200 miles apart are moving toward each other; each one is going at a speed of 50 miles per hour. A fly starting on the front of one of them flies back and forth between them at a rate of 75 miles per hour. It does this until the trains collide and crush the fly to death. What is the total distance the fly has flown? The fly actually hits each train an infinite number of times before it gets crushed, and one could solve the problem the hard waywith pencil and paper by summing an infinite series of distances. The easy way is as follows: Since the trains are 200 miles apart and each train is going 50 miles an hour, it takes 2 hours for the trains to collide. Therefore the fly was flying for two hours. Since the fly was flying at a rate of 75 miles per hour, the fly must have flown 150 miles. That's all there is to it.When this problem was posed to John von Neumann, he immediately replied, "150 miles.""It is very strange," said the poser, "but nearly everyone tries to sum the infinite series.""What do you mean, strange?" asked Von Neumann."That's how I did it!"
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How about the apocryphal story about the MIT student who cornered the famous John von Neumann in the hallway:
Student: "Er, excuse me, Professor von Neumann, could you please help me with a calculus problem?"John: "Okay, sonny, if it's real quick -- I'm a busy man."Student: "I'm having trouble with this integral."John: "Let's have a look."(insert brief pause here)"Alright, sonny, the answer's two-pi over 5."Student: "I know that, sir, the answer's in the back -- I'm having trouble deriving it, though."John: "Okay, let me see it again."(another pause)"The answer's two-pi over 5."Student (frustrated): "Uh, sir, I _know_ the answer, I just don't see how to derive it."John: "Whaddya want, sonny, I worked the problem in two different ways!"
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When Gladstone met Michael Faraday, he asked him whether his work on electricity would be of any use. "Yes, sir" remarked Faraday with prescience, "One day you will tax it." ************************************************************************
While Boltzmann gave a lecture on ideal gasses, he casually mentioned complicated calculations, which didn't give him any trouble. His students could not follow the fast mathematics and asked him to do the calculations on the blackboard. Boltzmann apologized and promised to do better next time.
The next lesson he began: "Gentlemen, if we combine Boyle's law with Charles's law we get the equation pv= p\sub 0 v\sub 0 (1 + a t). Now it is clear that \sub a S \sup b = f(x) dx x (a), then is pv=RT and \sub V S f(x,y,z) dV = 0. It is so simple as one and one is two. At this moment he remembered his promise and dutyfully wrote 1 + 1 = 2. Then he continued with the complicated calculations from his bare mind.
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As the joint meeting of the Royal Society and the Royal Astronomical Society was dispersing [this was 6 November 1919, when the results of the eclipse expedition that confirmed Einstein's prediction of the bending of light by gravity were announced], Ludwig Silberstein came up to him and said, "Professor Eddington, you must be one of three persons in the world who understands general relativity." On Eddington's emurring to this statement, Silberstein responded, "Don't be modest, Eddington," and Eddington replied that, "On the contrary, I am trying to think who the third person is."
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The story is that Albert Einstein's driver used to sit at the back of the hall during each of his lectures, and after a period of time, remarked to AE that he could probably give the lecture himself, having heard it several times. So, at the next stop on the tour, Albert Einstein & the driver switched places, with Albert Einstein sitting at the back, in driver's uniform. The driver gave the lecture, flawlessly. At the end, a member of the audience asked a detailed question about some of the subject matter, upon which the lecturer replied, “well, the answer to that question is quite simple, I bet that my driver, sitting up at the back, there, could answer it...”.so howz it !!! even the great scientists were/are humorous and lovable in nature, not just the bookworm ... :)
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