欧拉是数学史上著名的数学家,他在数论、几何学、天文数学、微积分等好几个数学的分支领域中都取得了出色的成就。不过,这个大数学家在孩提时代却一点也不讨老师的喜欢,他是一个被学校除了名的小学生。
事情是因为星星而引起的。 当时,小欧拉在一个教会学校里读书。有一次,他向老师提问,天上有多少颗星星。老师是个神学的信徒,他不知道天上究竟有多少颗星,圣经上也没有回答过。其实,天上的星星数不清,是无限的。我们的肉眼可见的星星也有几千颗。这个老师不懂装懂,回答欧拉说:"天有有多少颗星星,这无关紧要,只要知道天上的星星是上帝镶嵌上去的就够了。"
欧拉感到很奇怪:"天那么大,那么高,地上没有扶梯,上帝是怎么把星星一颗一颗镶嵌到一在幕上的呢?上帝亲自把它们一颗一颗地放在天幕,他为什么忘记了星星的数目呢?上帝会不会太粗心了呢?
他向老师提出了心中的疑问,老师又一次被问住了,涨红了脸,不知如何回答才好。老师的心中顿时升起一股怒气,这不仅是因为一个才上学的孩子向老师问出了这样的问题,使老师下不了台,更主要的是,老师把上帝看得高于一切。小欧拉居然责怪上帝为什么没有记住星星的数目,言外之意是对万能的上帝提出了怀疑。在老师的心目中,这可是个严重的问题。
在欧拉的年代,对上帝是绝对不能怀疑的,人们只能做思想的奴隶,绝对不允许自由思考。小欧拉没有与教会、与上帝"保持一致",老师就让他离开学校回家。但是,在小欧拉心中,上帝神圣的光环消失了。他想,上帝是个窝囊废,他怎么连天上的星星也记不住?他又想,上帝是个独裁者,连提出问题都成了罪。他又想,上帝也许是个别人编造出来的家伙,根本就不存在。
回家后无事,他就帮助爸爸放羊,成了一个牧童。他一面放羊,一面读书。他读的书中,有不少数学书。
爸爸的羊群渐渐增多了,达到了100只。原来的羊圈有点小了,爸爸决定建造一个新的羊圈。他用尺量出了一块长方形的土地,长40米,宽15米,他一算,面积正好是600平方米,平均每一头羊占地6平方米。正打算动工的时候,他发现他的材料只够围100米的篱笆,不够用。若要围成长40米,宽15米的羊圈,其周长将是110米(15+15+40+40=110)父亲感到很为难,若要按原计划建造,就要再添10米长的材料;要是缩小面积,每头羊的面积就会小于6平方米。
小欧拉却向父亲说,不用缩小羊圈,也不用担心每头羊的领地会小于原来的计划。他有办法。父亲不相信小欧拉会有办法,听了没有理他。小欧拉急了,大声说,只有稍稍移动一下羊圈的桩子就行了。
父亲听了直摇头,心想:"世界上哪有这样便宜的事情?"但是,小欧拉却坚持说,他一定能两全齐美。父亲终于同意让儿子试试看。
小欧拉见父亲同意了,站起身来,跑到准备动工的羊圈旁。他以一个木桩为中心,将原来的40米边长截短,缩短到25米。父亲着急了,说:"那怎么成呢?那怎么成呢?这个羊圈太小了,太小了。"小欧拉也不回答,跑到另一条边上,将原来15米的边长延长,又增加了10米,变成了25米。经这样一改,原来计划中的羊圈变成了一个25米边长的正方形。然后,小欧拉很自信地对爸爸说:"现在,篱笆也够了,面积也够了。"
父亲照着小欧拉设计的羊圈扎上了篱笆,100米长的篱笆真的够了,不多不少,全部用光。面积也足够了,而且还稍稍大了一些。父亲心里感到非常高兴。孩子比自己聪明,真会动脑筋,将来一定大有出息。
父亲感到,让这么聪明的孩子放羊实在是及可惜了。后来,他想办法让小欧拉认识了一个大数学家伯努利。通过这位数学家的推荐,1720年,小欧拉成了巴塞尔大学的大学生。这一年,小欧拉13岁,是这所大学最年轻的大学生。
Europe's pull is the mathematician of Zhao in mathematics history, he all obtained in the number the theory, geometry, astronomy mathematics, calculus etc. the branch realm of quite a few mathematics outstanding of achievement.However, this big mathematician at early childhood ages don't beg for a like of teacher at all, he be 1 drive school in addition to the primary school of living.
The affair cause because of stars. At that time, small Europe pull to study at a missionary school inside.Once, he lift to ask toward the teacher, the sky have how much stars.Teacher is theology of follower, he don't know sky actually have how much star, also have no an answer on the Holy Bible over.In fact, the stars of sky can not reckon how many, is infinite.The stars that we can see without the aid of instruments also has several 1000.This teacher doesn't understand to pack to understand and answer Europe pull to say:"The day have how much stars, this is unimportant, as long as know the stars of sky is God to inset up of enough."
Europe pull to feel very oddness:"Day so big, so Gao, there is no hand ladder on the ground, God is how inset the stars a per to an on the act of?God put their per ground in person in the open space, why did he forget the number of stars?Did God can be too careless?
He put forward the question in the heart toward the teacher, another teacher was stymied in questions, rise to get red in the face and hard put an answer just good.Immediately rise a wrath in the teacher's heart, this not only is because of a kid who just go to school toward the teacher ask so of problem, make teacher in a spot, more more fundamental, the teacher see God the Gao is at everything.Small Europe pull to incredibly blame and scold God why do not remember the number of stars, the idea out of the speech was to all-powerful God to put forward doubt.In the teacher's heart, this be the problem of a severity.
The age for pull in Europe, absolute to God can't doubt of, people the slave who can make thought, absolute disallow freedom thinking.Small Europe pull have no and church, and God"keep consistent", the teacher let him leave a school to go home.But, in small Europe pull the heart, the God sacred ureole disappeared.He think that God be that one be coward, he how connect a sky of does the stars also record not to live?He think again that God be a dictator and connect to lift wrong all became offense.He think that God be perhaps the guy that the individual person draw up again, basically nonexistent.
Have no matter after go home, he help father put sheep to pasture, become a shepherd boy.He a side put sheep to pasture and a side study.There isn't a few mathematics book in the book that he read.
Father's flock of sheep was gradual to increase and come to a 100.The sheep turn that is originally have a little small, father decision construct a new of sheep turn.He meted out a cake of with the Chinese foot rectangular of land, long 40 meter, the breadth be 15 meters, he a calculate, area exactly 600 square meter, average each a head of sheep cover 6 square meters.Just at the time that plan begin to work, his detection his material enough round the fence of 100 meters, not enough use.If want to round growth 40 meters, breadth the sheep turn of 15 meters, it week long will be 110 meters(15+15+40+40=110) the father feel very difficult, if want press original plan construct, will again add 10 meters long of material;If contract area, the area of each sheep would less than 6 square meters.
Small Europe pull but say toward the father, need not contract a sheep turn, also need not worry the territory of each sheep would small in originally of plan.He has a way.The father doesn't believe small Europe to pull to will have a way and listenned to have no reason him.Small Europe pull nasty, loudly say, only have just a little move once the stake of the sheep turn son line.
The father listenned to keep shake head and wish:"In the world which have so the affair of the cheapness?"But, small Europe pull but persistence say, he be certain ability two whole together the United States.Father finally the approval let the son try and see.
Small Europe pulled to see a father an approval, the station start and run to prepare to begin to work of sheep turn side.He take a wodden post as center, will originally of the side of 40 meters be long piece short, shorten to 25 meters.The father is worried and say:"How does that become?How does that become?This is too small, too small."Small Europe pull also not answer, run to another side up, will originally the side of 15 meters be long extension, again increment 10 meter, became 25 meters.Through so on change, originally the exact square which became a side of 25 meters long of the sheep turn in the plan.Then, small Europe pull to very with assurance say to father:"Now, the fence be also enough, area also enough."
The father shine on the sheep turn that small Europe pull a design firm top fence, 100 meter long of fence true of enough, neither more nor less, all use up.The area is also all right already, and still just a little big some.Father's in the mind feel very happy.Kid ratio oneself cleverness, true will do a lot of thinking, future certain big have ambition.
The father feel, let so the kid of the cleverness put sheep to pasture true is and regrettable.Afterwards, he think a way to let small Europe pull understanding a big mathematician elder brother of one's father Nu benefit.Pass this recommend of mathematician, 1720, small Europe pull the university student of Basel university.This year, small Europe pull 13 years old, is the most young university student in this university.
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