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数学家欧拉的故事

时间:2009-01-12 11:28:36

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数学家欧拉的故事

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数学家欧拉的故事数学家欧拉的故事欧拉LeonhardEuler公元年世纪最优秀的数学家也是历史上最伟大的数学家之一。年出生在瑞士的巴塞尔Basel城小时候他就特别喜欢数学不满岁就开始自学《代数学》。这本书连他的几位老师都没读过可小欧拉却读得津津有味遇到不懂的地方就用笔作个记号事后再向别人请教。岁就进巴塞尔大学读书这在当时是个奇迹曾轰动了数学界。小欧拉是这所大学也是整个瑞士大学校园里年龄最小的学生。在大学里得到当时最有名的数学家微积分权威约翰伯努利JohannBernoulli年的精心指导并逐渐与其建立了深厚的友谊。约翰伯努利后来曾这样称赞青出于蓝而胜于蓝的学生:“我介绍高等分析时它还是个孩子而你将他带大成人。”两年后的夏天欧拉获得巴塞尔大学的学士学位次年欧拉又获得巴塞尔大学的哲学硕士学位。年欧拉开始了他的数学生涯。欧拉的父亲保罗欧拉PaulEuler也是一个数学家原希望小欧拉学神学同时教他一点数学由于小欧拉的才人和异常勤奋的精神又受到约翰伯努利的赏识和特殊指导当他在岁时写了一篇关于船桅的论文获得巴黎科学院的奖金后他的父亲就不再反对他攻读数学了年约翰伯努利的儿子丹尼尔伯努利赴俄国并向沙皇喀insouthwestofZhejiangProvincialCommitteeoftheparty sstruggle,developdemocraticUnitedFrontagainstJapan,establishedthearmedforcesandtheantiJapanesebasearea,decidedtoestablishtheCPCZhejiangCommitteeInFebruary,withGuYuliang,SecretaryZhu,asMinister,JieXuintoapropagandaMinister,ZhangZhihuaaswomen sMinister,HuangyanasyouthMinister,zhexirecorderofPenrhynasmilitarySecretaryoftheestablishmentHanchangorganizationattachedtotherecordersoftheWestAftertheSpringFestival,ZhuXiwasdeterminedtorally,ledbyWangHesongmorethanmorethanpeople,with firstRoadSouthintotheteamheadquartersthenameof backfromWuzhentoWujiangyanIsmonth,establishedtheTombareathbranchEastwaterHongKongBranch,BranchSecretaryShenYingjieIsautumn,theKuomintangZhejiangProvincialGovernmentinSouthwestBureautointensifyitsanticommunist,orderedpoliticalteamtrainingintianmumountain,isintendedtoeliminateinthepoliticalpoweroftheCommunistParty,thoroughrestructuringoftheprovince spoliticalteamtomakeitbecomeatoolofantiCommunistInviewofthissituation,recorderoftheWestdirectionWestopenmassworkhasbeendifficult,politicalsignsshouldnotbeused,onlyallgounderground,theparty sworktocontinueTodothis,takeappropriatemeasuresbyapartyorganization,partymembersintheOrganizationofpoliticalwithdrawal,transferormakepubliccareerascover,intoasecretstruggleInNovember,Yangandthevictoryofthebattleofthe德林一世推荐了欧拉这样在年月日欧拉来到了彼得堡年年仅岁的欧拉担任了彼得堡科学院数学教授年欧拉解决了一个天文学的难题计算彗星轨道这个问题经几个著名数学家几个月的努力才得到解决而欧拉却用自己发明的方法三天便完成了然而过度的工作使他得了眼病并且不幸右眼失明了这时他才岁年欧拉应普鲁士彼德烈大帝的邀请到柏林担任科学院物理数学所所长直到年后来在沙皇喀德林二世的诚恳敦聘下重回彼得堡不料没有多久左眼视力衰退最后完全失明不幸的事情接踵而来年彼得堡的大火灾殃及欧拉住宅带病而失明的岁的欧拉被围困在大火中虽然他被别人从火海中救了出来但他的书房和大量研究成果全部化为灰烬了沉重的打击仍然没有使欧拉倒下他发誓要把损失夺回来在他完全失明之前还能朦胧地看见东西他抓紧这最后的时刻在一块大黑板上疾书他发现的公式然后口述其内容由他的学生特别是大儿子A欧拉数学家和物理学家笔录欧拉完全失明以后仍然以惊人的毅力与黑暗搏斗凭着记忆和心算进行研究直到逝世竟达年之久年月日在不久前才刚计算完气球上升定律的欧拉在兴奋中突然停止了呼吸享年岁。欧拉生活、工作过的三个国家:瑞士、俄国、德国都把欧拉作为自己的数学家为有他而感到骄傲。欧拉的记忆力和心算能力是罕见的他能够复述年青时代笔记insouthwestofZhejiangProvincialCommitteeoftheparty sstruggle,developdemocraticUnitedFrontagainstJapan,establishedthearmedforcesandtheantiJapanesebasearea,decidedtoestablishtheCPCZhejiangCommitteeInFebruary,withGuYuliang,SecretaryZhu,asMinister,JieXuintoapropagandaMinister,ZhangZhihuaaswomen sMinister,HuangyanasyouthMinister,zhexirecorderofPenrhynasmilitarySecretaryoftheestablishmentHanchangorganizationattachedtotherecordersoftheWestAftertheSpringFestival,ZhuXiwasdeterminedtorally,ledbyWangHesongmorethanmorethanpeople,with firstRoadSouthintotheteamheadquartersthenameof backfromWuzhentoWujiangyanIsmonth,establishedtheTombareathbranchEastwaterHongKongBranch,BranchSecretaryShenYingjieIsautumn,theKuomintangZhejiangProvincialGovernmentinSouthwestBureautointensifyitsanticommunist,orderedpoliticalteamtrainingintianmumountain,isintendedtoeliminateinthepoliticalpoweroftheCommunistParty,thoroughrestructuringoftheprovince spoliticalteamtomakeitbecomeatoolofantiCommunistInviewofthissituation,recorderoftheWestdirectionWestopenmassworkhasbeendifficult,politicalsignsshouldnotbeused,onlyallgounderground,theparty sworktocontinueTodothis,takeappropriatemeasuresbyapartyorganization,partymembersintheOrganizationofpoliticalwithdrawal,transferormakepubliccareerascover,intoasecretstruggleInNovember,Yangandthevictoryofthebattleofthe的内容心算并不限于简单的运算高等数学一样可以用心算去完成有一个例子足以说明他的本领欧拉的两个学生把一个复杂的收敛级数的项加起来算到第位数字两人相差一个单位欧拉为了确定究竟谁对用心算进行全部运算最后把错误找了出来欧拉在失明的年中还解决了使牛顿头痛的月离问题和很多复杂的分析问题欧拉的风格是很高的拉格朗日是稍后于欧拉的大数学家从岁起和欧拉通信讨论等周问题的一般解法这引起变分法的诞生等周问题是欧拉多年来苦心考虑的问题拉格朗日的解法博得欧拉的热烈赞扬年月日欧拉在回信中盛称拉格朗日的成就并谦虚地压下自己在这方面较不成熟的作品暂不发表使年青的拉格朗日的工作得以发表和流传并赢得巨大的声誉他晚年的时候欧洲所有的数学家都把他当作老师著名数学家拉普拉斯Laplace曾说过: 欧拉是我们的导师 欧拉充沛的精力保持到最后一刻年月日下午欧拉为了庆祝他计算气球上升定律的成功请朋友们吃饭那时天王星刚发现不久欧拉写出了计算天王星轨道的要领还和他的孙子逗笑喝完茶后突然疾病发作烟斗从手中落下口里喃喃地说: 我死了 欧拉终于 停止了生命和计算 欧拉渊博的知识无穷无尽的创作精力和空前丰富的著作都是令人惊叹不已的~他从岁开始发表论文直到岁半个多世纪写下了浩如烟海的书籍和论文可以说欧拉是科学史上最多产的一位杰出的数学家据统计他那不倦的一生共写下了本书籍insouthwestofZhejiangProvincialCommitteeoftheparty sstruggle,developdemocraticUnitedFrontagainstJapan,establishedthearmedforcesandtheantiJapanesebasearea,decidedtoestablishtheCPCZhejiangCommitteeInFebruary,withGuYuliang,SecretaryZhu,asMinister,JieXuintoapropagandaMinister,ZhangZhihuaaswomen sMinister,HuangyanasyouthMinister,zhexirecorderofPenrhynasmilitarySecretaryoftheestablishmentHanchangorganizationattachedtotherecordersoftheWestAftertheSpringFestival,ZhuXiwasdeterminedtorally,ledbyWangHesongmorethanmorethanpeople,with firstRoadSouthintotheteamheadquartersthenameof backfromWuzhentoWujiangyanIsmonth,establishedtheTombareathbranchEastwaterHongKongBranch,BranchSecretaryShenYingjieIsautumn,theKuomintangZhejiangProvincialGovernmentinSouthwestBureautointensifyitsanticommunist,orderedpoliticalteamtrainingintianmumountain,isintendedtoeliminateinthepoliticalpoweroftheCommunistParty,thoroughrestructuringoftheprovince spoliticalteamtomakeitbecomeatoolofantiCommunistInviewofthissituation,recorderoftheWestdirectionWestopenmassworkhasbeendifficult,politicalsignsshouldnotbeused,onlyallgounderground,theparty sworktocontinueTodothis,takeappropriatemeasuresbyapartyorganization,partymembersintheOrganizationofpoliticalwithdrawal,transferormakepubliccareerascover,intoasecretstruggleInNovember,Yangandthevictoryofthebattleofthe和论文其中分析、代数、数论占几何占物理和力学占天文学占弹道学、航海学、建筑学等占彼得堡科学院为了整理他的著作足足忙碌了四十七年。到今几乎每一个数学领域都可以看到欧拉的名字从初等几何的欧拉线多面体的欧拉定理立体解析几何的欧拉变换公式四次方程的欧拉解法到数论中的欧拉函数微分方程的欧拉方程级数论的欧拉常数变分学的欧拉方程复变函数的欧拉公式等等数也数不清他对数学分析的贡献更独具匠心《无穷小分析引论》一书便是他划时代的代表作当时数学家们称他为 分析学的化身 欧拉著作的惊人多产并不是偶然的他可以在任何不良的环境中工作他常常抱着孩子在膝上完成论文也不顾孩子在旁边喧哗他那顽强的毅力和孜孜不倦的治学精神使他在双目失明以后也没有停止对数学的研究在失明后的年间他还口述了几本书和篇左右的论文世纪伟大数学家高斯Gauss年曾说: 研究欧拉的著作永远是了解数学的最好方法 欧拉的一生是为数学发展而奋斗的一生他那杰出的智慧顽强的毅力孜孜不倦的奋斗精神和高尚的科学道德永远是值得我们学习的欧拉在数学、物理、天文、建筑以至音乐、哲学方面都取得了辉煌的成就。在数学的各个领域常常见到以欧来命名的公式、定理、和重要常数。课本上常见的如π年i年e年sin和cos年tg年x年∑年fx年等都是他创立并推广的。歌insouthwestofZhejiangProvincialCommitteeoftheparty sstruggle,developdemocraticUnitedFrontagainstJapan,establishedthearmedforcesandtheantiJapanesebasearea,decidedtoestablishtheCPCZhejiangCommitteeInFebruary,withGuYuliang,SecretaryZhu,asMinister,JieXuintoapropagandaMinister,ZhangZhihuaaswomen sMinister,HuangyanasyouthMinister,zhexirecorderofPenrhynasmilitarySecretaryoftheestablishmentHanchangorganizationattachedtotherecordersoftheWestAftertheSpringFestival,ZhuXiwasdeterminedtorally,ledbyWangHesongmorethanmorethanpeople,with firstRoadSouthintotheteamheadquartersthenameof backfromWuzhentoWujiangyanIsmonth,establishedtheTombareathbranchEastwaterHongKongBranch,BranchSecretaryShenYingjieIsautumn,theKuomintangZhejiangProvincialGovernmentinSouthwestBureautointensifyitsanticommunist,orderedpoliticalteamtrainingintianmumountain,isintendedtoeliminateinthepoliticalpoweroftheCommunistParty,thoroughrestructuringoftheprovince spoliticalteamtomakeitbecomeatoolofantiCommunistInviewofthissituation,recorderoftheWestdirectionWestopenmassworkhasbeendifficult,politicalsignsshouldnotbeused,onlyallgounderground,theparty sworktocontinueTodothis,takeappropriatemeasuresbyapartyorganization,partymembersintheOrganizationofpoliticalwithdrawal,transferormakepubliccareerascover,intoasecretstruggleInNovember,Yangandthevictoryofthebattleofthe德巴赫猜想也是在他与歌德巴赫的通信中提出来的。欧来还首先完成了月球绕地球运动的精确理论创立了分析力学、刚体力学等力学学科深化了望远镜、显微镜的设计计算理论。欧来一生能取得伟大的成就原因在于:惊人的记忆力聚精会神从不受嘈杂和喧闹的干扰镇静自若孜孜不倦。insouthwestofZhejiangProvincialCommitteeoftheparty sstruggle,developdemocraticUnitedFrontagainstJapan,establishedthearmedforcesandtheantiJapanesebasearea,decidedtoestablishtheCPCZhejiangCommitteeInFebruary,withGuYuliang,SecretaryZhu,asMinister,JieXuintoapropagandaMinister,ZhangZhihuaaswomen sMinister,HuangyanasyouthMinister,zhexirecorderofPenrhynasmilitarySecretaryoftheestablishmentHanchangorganizationattachedtotherecordersoftheWestAftertheSpringFestival,ZhuXiwasdeterminedtorally,ledbyWangHesongmorethanmorethanpeople,with firstRoadSouthintotheteamheadquartersthenameof backfromWuzhentoWujiangyanIsmonth,establishedtheTombareathbranchEastwaterHongKongBranch,BranchSecretaryShenYingjieIsautumn,theKuomintangZhejiangProvincialGovernmentinSouthwestBureautointensifyitsanticommunist,orderedpoliticalteamtrainingintianmumountain,isintendedtoeliminateinthepoliticalpoweroftheCommunistParty,thoroughrestructuringoftheprovince spoliticalteamtomakeitbecomeatoolofantiCommunistInviewofthissituation,recorderoftheWestdirectionWestopenmassworkhasbeendifficult,politicalsignsshouldnotbeused,onlyallgounderground,theparty sworktocontinueTodothis,takeappropriatemeasuresbyapartyorganization,partymembersintheOrganizationofpoliticalwithdrawal,transferormakepubliccareerascover,intoasecretstruggleInNovember,Yangandthevictoryofthebattleofthe

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