共查询到20条相似文献,搜索用时 578 毫秒
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欧氏几何的公理体系和我国平面几何课本的历史演变 总被引:1,自引:0,他引:1
1 几何原本与几何基础
我们都知道,两千多年前,古希腊的数学家欧几里得写了一本著名的书——《原本》,在古往今来的浩瀚书海中,《原本》用各国文字出版的印数仅次于《圣经》而居世界第二位.我国最早的中译本是在明朝末年由外国传教士利玛窦与我国科学家徐光启翻译的,1607年出版,书名定为《几何原本》.此后,我国出版的各种译本都沿袭这一名称。 相似文献
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郑崇友、樊磊、崔宏斌著的((Fra与连续格》一书(以下简称《格》)已由首都师范大学出版社出版.《格》是我国第一部系统论述Frame理论和连续格理论的学术专著,是适合于格与拓扑方向研究生和高年级本科生使用的好教材.1《格》提供了广义空间理论的一个要览按Bourbaki... 相似文献
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2008年出版的《数学与无穷观的逻辑基础》第三篇(无穷观问题探索)中,有三个引人注目的内容.一是论述现代分析数学中存在着“新贝克莱悖论”;二是证明了令人惊奇的定理:“任何可数无穷集合都是自相矛盾的非集”;三是质疑了Cantor关于实数不可数的对角线证明方法的合理性.本篇评述立足于经典分析数学与Cantor-Zermelo—Halmos素朴集合论的理论基础上,经由分析指出了上述三项内容中的数学论证与推理是不能成立的。并解释了书中出错的主要原因. 相似文献
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按新课程标准编写的六套数学教科书分别是由刘绍学主编,人民教育出版社出版的A版教科书;由高存明主编,人民教育出版社出版的B版教科书;由严士健、王尚志主编,北京师范大学出版社出版的教科书;由单墫主编,江苏人民出版社出版的教科书;由张景中主编,湖南人民出版社出版的教科书;由齐民友主编,湖北教育出版社出版的教科书(以下分别简称人教A版、B版、北师大版、苏教版、湘教版、鄂教版),并有几套已被全国15个实验区选择使用. 相似文献
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陈一心 《高等学校计算数学学报》1999,(1)
李寿佛先生的《刚性微分方程算法理论》一书已由湖南科学技术出版社出版,这是我国学者撰著的第一本关于一般多值方法B—理论的专著。李寿佛先生是湘潭大学计算数学教授,潜心研究刚性微分方程算法理论多年,建树甚多。他的弟子袁亚湘、许进超等都已是计算数学界的后起之秀。众所周知,刚性微分方程是描述复杂系统(该复杂系统包含分别含快变分量和慢变分量的两个子系统)初值问题的一类常微分方程.它广泛存在于航空、航天、热核反应、自动控制、电子网络及化学动力学等许多重要科学技术研究领域中。自本世纪60年代以来,刚性微分方程的… 相似文献
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《数学的实践与认识》1983,(2)
<正> 《控制理论与应用》即将创刊 该刊经教育部批准,由华南工学院和中国科学院系统科学研究所联合主办.该刊系控制理论方面的学术期刊(季刊),国内外公开发行,其宗旨是反映我国控制理论研究成果和应用研究成果,特别是理论与实际相结合的研究成果.1982年12月21日至26日,在广州召开了该刊的第一次编委会,华南工学院副院长李伯天和中国科学院系统科学研究所副所长许国志主持了会议.会上向到会的编委颁发了正式聘书.到会的编委,对如何促进我国控制理论与应用研究的发展、加强国内外学术交流、为我国四化建设服务等问题,展开了热烈的讨论.编委一致决定于1983年第二季度末出版创刊号.北京市数学会应用数学年会分组报告会 该报告会于1983年1月8日在北京大学举行,报告的题目与报告人如 相似文献
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1980年英国 ACADEMlC PRESS 国际出版公司出版的 KINDERLEHRER 与STAMPACCHIA 合著的《变分不等式及其应用引论》是一本总结和论述近年来飞速发展的变分不等式理论及应用方面的非常重要的专著。自从本书发行以后,竞相引用, 相似文献
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We study birth and death processes with linear rates λn = n + α + c + 1, μn + 1 = n + c, n 0 and μ0 is either zero or c. The spectral measures of both processes are found using generating functions and the integral transforms of Laplace and Stieltjes. The corresponding orthogonal polynomials generalize Laguerre polynomials and the choice μ0 = c generates the associated Laguerre polynomials of Askey and Wimp. We investigate the orthogonal polynomials in both cases and give alternate proofs of some of the results of Askey and Wimp on the associated Laguerre polynomials. We also identify the spectra of the associated Charlier and Meixner polynomials as zeros of certain transcendental equations. 相似文献
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We study rings in which every ideal is a finitely generated multiplication right ideal. 相似文献
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V. V. Makeev 《Journal of Mathematical Sciences》1998,91(6):3518-3525
Five theorems on polygons and polytopes inscribed in (or circumscribed about) a convex compact set in the plane or space are
proved by topological methods. In particular, it is proved that for every interior point O of a convex compact set in ℝ3, there exists a two-dimensional section through O circumscribed about an affine image of a regular octagon. It is also proved
that every compact convex set in ℝ3 (except the cases listed below) is circumscribed about an affine image of a cube-octahedron (the convex hull of the midpoints
of the edges of a cube). Possible exceptions are provided by the bodies containing a parallelogram P and contained in a cylinder
with directrix P. Bibliography: 29 titles.
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 231, 1995, pp. 286–298.
Translated by B. M. Bekker. 相似文献
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Neil Hindman 《Journal of Combinatorial Theory, Series A》1984,37(1):46-60
A seven cell partition of N is constructed with the property that no infinite set has all of its pairwise sums and products in any one cell. A related Ramsey Theory question is shown to have different answers for two and three cell partitions. 相似文献
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The Ritz and harmonic Ritz values are approximate eigenvalues, which can be computed cheaply within the FOM and GMRES Krylov subspace iterative methods for solving non‐symmetric linear systems. They are also the zeros of the residual polynomials of FOM and GMRES, respectively. In this paper we show that the Walker–Zhou interpretation of GMRES enables us to formulate the relation between the harmonic Ritz values and GMRES in the same way as the relation between the Ritz values and FOM. We present an upper bound for the norm of the difference between the matrices from which the Ritz and harmonic Ritz values are computed. The differences between the Ritz and harmonic Ritz values enable us to describe the breakdown of FOM and stagnation of GMRES. Copyright © 1999 John Wiley & Sons, Ltd. 相似文献
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The importance of beliefs for the teaching and learning of mathematics is widely recognized among mathematics educators. In this special issue, we explicitly address what we call “beliefs and beyond” to indicate the larger field surrounding beliefs in mathematics education. This is done to broaden the discussion to related concepts (which may not originate in mathematics education) and to consider the interconnectedness of concepts. In particular, we present some new developments at the conceptual level, address different approaches to investigate beliefs, highlight the role of student beliefs in problem-solving activities, and discuss teacher beliefs and their significance for professional development. One specific intention is to consider expertise from colleagues in the fields of educational research and psychology, side by side with perspectives provided by researchers from mathematics education. 相似文献