摘要:(摘要内容经过系统自动伪原创处理以避免复制,下载原文正常,内容请直接查看目录。) 切比雪夫是俄罗斯的数学家、力学家和教导家。他把数学实际与天然迷信技巧的理论慎密地联合起来,使得他的很多迷信发明都具有极端主要的适用价值。他曾屡次指出,在新的研究办法的发明中,“迷信在理论中取得了准确的引导位置”,“迷信自己在理论的作用下成长,而又为理论开辟了新的研究对象”。他在很多数学范畴及临近学科都做出了卓著的进献。切比雪夫是函数结构实际的开创人,从研究机械道理动身,树立了用多项式切近亲近持续函数的实际,创建了新的数学分支;他还研究了二次切近亲近和用三角函数及有理函数切近亲近持续函数等成绩;在数论方面,从实质上推动了素数散布成绩的研究,对有理切近亲近成绩的研究在丢番图近似实际的成长中起到了主要感化;在几率论方面,俄语论文,用非常简略和初等的办法证实了普通情势的年夜数定律;在数学剖析方面,切比雪夫也作了年夜量的任务,除研究过某些由代数函数和对数函数表现的在理函数的可积性外,还处理了无限情势下椭圆积分的成绩,证实有名的微分二项式可积性前提的定理。他所树立的正交多项式的普通实际是数学剖析的主要研究偏向。切比雪夫从少小起就对创造和制作分歧类型的简略机械感兴致,当他有了坚实的实际基本以后,在机械方面写了年夜量论文,俄语论文网站,其内容触及机械实际、齿轮实际、平行四边形机械道理和服装网www。vhao。net剪裁等成绩。同时,切比雪夫不只是全俄中等教导改造委员会的成员和彼得堡炮兵迷信院的成员,还被选为柏林迷信院(1871)、博洛尼亚(1873)、巴黎(1874)、皇家伦敦协会(1877)、瑞典迷信院(1893)的外籍院士、学术集团成员。切比雪夫的学术研究对世界数学迷信起到了伟大的作用,活着界迷信史和俄罗文雅化的成长中留下了弗成磨灭的印记。是以,深刻引见切比雪夫的生温和获得的迷信结果,客不雅评价他对数学研究范畴所做出的出色进献与积极作用,对于我们进修和引进本国的先辈技巧来完成迷信技巧古代化有深远的意义。 Abstract: Is the Russian mathematician Chebyshev, scientist and educator. He put the actual mathematics and natural science and technology, the theory of rigorous together, makes his many scientific discoveries has extremely important practical value. He has repeatedly pointed out that in the invention of new research methods, "superstition in theory made accurate guide position", "superstition his theory under the influence of grow in and theory opened the new research object. He has made outstanding contributions in many areas of mathematics and close to the subject. Chebyshev is a function of the actual structure to create, from the discussion of mechanical theory, established by polynomial close to the actual continuous function, create a new branch of mathematics; he also studied two times closer to and with the trigonometric functions and the rational functions close to the continuous function of achievement; in theory, from the essence of promoting research results on prime spread, rational close to the results in Diophantine approximation of actual growth plays a important role in probability; theory, with very simple and elementary to confirm the law of large number of ordinary situations; in mathematical analysis, Chebyshev also made a large amount of tasks, in addition to after studying some performance by algebraic functions and logarithmic functions in the integrability of functions, also deal with a situation of infinite elliptic integral results, confirmed that the famous The premise of the integrability of differential binomial theorem. He set up the orthogonal polynomial of the general practice is a mathematical analysis of the main research bias. Chebyshev from less small is to create and produce different types of simple mechanical interested, when he has a solid theoretical foundation, in the machinery wrote a large number of the, its content involves the actual mechanical, actual gear, parallelogram mechanical principle and clothing Vhao. Net tailoring and other results. Also, Chebyshev not just members of the all Russian secondary education reform committee members and Petersburg Artillery Academy of Sciences, was also selected as a member of the Berlin Academy of Sciences (1871), Bologna (1873), Paris (1874), the Royal London society (1877), the Swedish Academy of Sciences (1893) foreign academicians, academic group. Chebyshev academic research to the science of mathematics in the world to great influence, alive growth of scientific history and Russian culture elegant left Eph into an indelible mark. Is to profound introduction Chebyshev moderate access to scientific results and objectively evaluation he made to the research on the mathematical field well into the offer with positive impact on our study and the introduction of foreign advanced technology to complete the ancient science and technology has far-reaching significance. 目录: |