数学
-
院士人生马尚瑞,朱英才编著本书主要介绍了中国科学院院士、地球物理学家马在田;中国工程院院士王正国;中国科学院院士、微电子学家王阳元;中国科学院院士、力学家白以龙等众多院士的生平事迹。 -
线性代数张恩众,察可文,解心江 主编数学是一切科学技术发展的基础,也是人类理解现实世界的一把钥匙。对经济类、管理类大学生来说,数学不但是他们在校学习期间的一门十分重要的基础课程,也是他们进一步深造——报考经济类、管理类研究生的必考课程。因此,学好数学课程,对他们的重要性是不言而喻的。本书内容包括行列式、矩阵、线性方程组、л维向量间的线性关系、特征值与特征向量、二次型等。 -
实变函数胡长松主编本书的基本内容是根据1990年11月在南京大学召开的“实变函数”教材编写大纲讨论会的精神编写的,考虑到新世纪的要求编写了用*表示的内容,以供选择.本书分为集合与映射、点集、测度论、可测函数、积分论共五章,每节末配有习题,书后有习题详解,本书写得细致,论证严谨,语言通俗.基本概念的引入注意到了产生概念的背景,来龙去脉交待得比较清楚.本书的特点是:既注意基本理论的科学性,又充分考虑教材的师范性;既保持实变函数理论的完整性,又力求做到深入浅出,循序渐进;既着重经典内容,又适当介绍抽象积分.本书可作为师范院校、综合大学数学系的教材或参考书,也可作为本科数学专业成人函授教材或自学者用书. -
财富理论的数学原理的研究(法)奥古斯丹·古诺(Augustin Cournot)著;陈尚霖译安东尼·奥古斯丹·古诺是法国数学家,数理经济学派最重要的先驱者和奠基者。古诺认为某些经济现象,如供给和需求都和价格存在着函数关系,因此可以用一些函数形式来表示市场中的关系,从而也可以用数学分析的形式及符号来表达一些经济规律。古诺在《财富理论的数学原理的研究》序言中反复强调在财富理论上运用数学的必要性、重要性。他说:“数学的用处并非单纯是计算出数值结果,它还可以用来发现不能用数字表达的量之间的关系,以及不能用代数表达式来说明其形式的函数之间的关系。例如,尽管不借助于经验就不可能给出偶然事件的数字值,……概率论仍可为极重要的命题提供证明。”他又说:“那些在使用常规语言的作者笔下,表达得不确定而又晦涩难懂的分析”可以“用自己熟悉的符号加以确定化”。古诺的《财富理论的数学原理的研究》在数学经济学的发展史上占有重要地位,《财富理论的数学原理的研究》中提出一些正确的公式和内涵丰富的演绎方法不仅对经济建设中如何使用数学工具和数学方法也有一定的借鉴作用因而特予译出。 -
走近袁隆平姚昆仑撰本书收有“童华少年时”、“冲刺三系稻”、“攻克两系关”、“征战超级稻”、“壮志酬未来”等八章内容,详细记述了农业院士袁隆平的生平事迹。 -
有限域上典型群的几何学Wan ZhexianThis monograph is a comprehensive survey of the results obtained on the geometry of classical groups over finite fields mainly in the 1960s and early 1990s.For the convenience of the readers I start with the affine geometry and projective geometry over finite fields in Chapters 1 and 2, respectively. Among other things, the affine classification of quadrics is included in Chapter 1, and conics and ovals are studied in detail in Chapter 2. From Chapter 3 and onwards the geometries of symplectic, pseudo-symplectic, unitary, and orthogonal groups are studied in succession. The book ends with two appendices, on the axiomatic projective geometry, and on polar spaces and finite generalized quadrangles, respectively. Now I shall say a few words about the problems we are going to study in Chapters 3-7, and in addition give some historical remarks. -
应用并行计算Juha Fagerholm 著This book constitutes the refereed proceedings of the 6th International Conference on Applied Parallel Computing, PARA 2002, held in Espoo, Finland, in June 2002.The 50 revised full papers presented together with nine keynote lectures were carefully reviewed and selected for inclusion in the proceedings. The papers are organized in topical sections on data mining and knowledge discovery, parallel program development, practical experience in parallel computing, computer science, numerical algorithms with hierarchical memory optimization, numerical methods and algorithms, cluster computing, grid and network technologies, and physics and applications. -
Symmetries in Constrainde Canonical SystemsLi Ziping Jiang JinhuanA dynamical system described by a singular Lagrangian is subject to some in- herent phase space constraints and is called a constrained canonical system (or con- strained Hamiltonian system). Gauge field theories (for example, QED, QFD, QCD, Supergravity, Superstring) belong to this category. These theories now dominate particle physics. The theory of a constrained canonical system can also be applied to the theories of condensed matter and some other research area (for ex- ample, the quantum field theories of anyons). The theories of a constrained canon- ical system play a fundamental role in modern field theories. The quantization of a constrained canonical system with a singular Lagrangian remains one of the key problems of quantum field theory and is being intensively discussed in the litera- ture. Symmetry is now a fundamental concept in modern physics. As it is well known, the discussion of symmetry properties of a system is usually based on the examination of the Lagranigan in configuration space. In quantum theory, the phase-space path integral is more fundamental than the configuration-space path integral, the latterprovides for a Hamiltonian quadratic in canonical momenta, whereas the former can be applied to an arbitrary Hamiltonian. Thus, the phase- space form of the path integral is a necessary precursor to the configuration-space form of the path integral. Therefore, the investigation of symmetry properties of a system in phase space has a basic sense in quantum theories, which can be applied to more general cases. -
立方形递归网络王德强《立方形递归网络》以数学为基础,系统研究互连网络,特别是超立方体网络的拓扑性质、网络参数、容错性能、通信算法等。内容主要包括:互连网络的拓扑与互连函数,立方形递归网络,立方形递归网络的参数与拓扑特性,立方形递归网络上的算法等。《立方形递归网络》注重为互连网络的研究提供思路和方法,具有一定的学术价值和实践指导意义。 -
Proceedings of Fifth China-Japan Seminar on Nomerical MathematicsZhong-Ci ShiThe fifth China-Japan joint seminar on Numerical Mathematics was held from August 21 to 25 at Shanghai Jiaotong University, China.More than 49 participants from China and Japan attended this meeting. Among them were 20 invited speakers, 10 from Japan and 10 from China, including 2 representatives from Hong Kong.This proceeding collected over 11 one-hour invited talks and 17 twenty minutes short communications. These papers reflect the recent advances in Nu- merical Mathematics established by Chinese and Japanese scientists, especially in the fields of Numerical Solution of Partial Differential Equations, Numerical Linear Algebra and Approximations.
