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流形上的微积分
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数学分析(第二卷)
数学分析(第2卷第4版 俄罗斯数学教材选译),ISBN:9787040202571,作者:(俄罗斯)B.A.卓里奇 -
实分析
《实分析》由在国际上享有盛誉普林斯大林顿大学教授Stein等撰写而成,是一部为数学及相关专业大学二年级和三年级学生编写的教材,理论与实践并重。为了便于非数学专业的学生学习,全书内容简明、易懂,读者只需掌握微积分和线性代数知识。关于《实分析》的详细介绍,请见“影印版前言”。 -
函数论与泛函分析初步
《函数论与泛函分析初步(第7版)》是世界著名数学家A.H.柯尔莫戈洛夫院士在莫斯科大学数学力学系多年讲授泛函分析教程(曾称《数学分析Ⅲ》)的基础上编写的。《函数论与泛函分析初步(第7版)》是关于泛函分析与实变函数论的精细问题的严格的系统阐述,书中反映了作者的教育思想,体现了作者丰富的教学经验与方法。内容包括:集合论初步,度量空间与拓扑空间,赋范线性空间与线性拓扑空间,线性泛函与线性算子,测度、可测函数、积分,勒贝格不定积分、微分论,可和函数空间,三角函数傅里叶变换,线性积分方程,线性空间微分学概要以及附录的巴拿赫代数。 《函数论与泛函分析初步(第7版)》适合数学、物理及相关专业的高年级本科生、研究生、高校教师和研究人员参考使用。 -
Social Network Analysis
The revised and updated edition of this bestselling text provides an accessible introduction to the theory and practice of network analysis in the social sciences. It gives a clear and authoritative guide to the general framework of network analysis, explaining the basic concepts, technical measures and reviewing the available computer programs. The book outlines both the theoretical basis of network analysis and the key techniques for using it as a research tool. Building upon definitions of points, lines and paths, John Scott demonstrates their use in clarifying such measures as density, fragmentation and centralization. He identifies the various cliques, components and circles into which networks are formed, and outlines an approach to the study of socially structured positions. He also discusses the use of multidimensional methods for investigating social networks. Social Network Analysis is an invaluable resource for researchers across the social sciences and for students of social theory and research methods. -
Models and Methods in Social Network Analysis (Structural Analysis in the Social Sciences)
Models and Methods in Social Network Analysis presents the most important developments in quantitative models and methods for analyzing social network data that have appeared during the 1990s. Intended as a complement to Wasserman and Faust's Social Network Analysis: Methods and Applications, it is a collection of articles by leading methodologists reviewing advances in their particular areas of network methods. Reviewed are advances in network measurement, network sampling, the analysis of centrality, positional analysis or blockmodelling, the analysis of diffusion through networks, the analysis of affiliation or 'two-mode' networks, the theory of random graphs, dependence graphs, exponential families of random graphs, the analysis of longitudinal network data, graphical techniques for exploring network data, and software for the analysis of social networks.