数学
Social and Economic Networks 豆瓣 Goodreads
Social and Economic Networks
作者: Matthew O. Jackson 出版社: Princeton University Press 2008 - 9
Review
Lucid and comprehensive, Jackson's book elegantly synthesizes several important strands of network science from sociology, physics, mathematics, computer science, and economics. It will be an immensely useful reference for researchers and students alike.
(Duncan Watts, Columbia University )
Product Description
Networks of relationships help determine the careers that people choose, the jobs they obtain, the products they buy, and how they vote. The many aspects of our lives that are governed by social networks make it critical to understand how they impact behavior, which network structures are likely to emerge in a society, and why we organize ourselves as we do. In Social and Economic Networks, Matthew Jackson offers a comprehensive introduction to social and economic networks, drawing on the latest findings in economics, sociology, computer science, physics, and mathematics. He provides empirical background on networks and the regularities that they exhibit, and discusses random graph-based models and strategic models of network formation. He helps readers to understand behavior in networked societies, with a detailed analysis of learning and diffusion in networks, decision making by individuals who are influenced by their social neighbors, game theory and markets on networks, and a host of related subjects. Jackson also describes the varied statistical and modeling techniques used to analyze social networks. Each chapter includes exercises to aid students in their analysis of how networks function.
This book is an indispensable resource for students and researchers in economics, mathematics, physics, sociology, and business.
Mathematics as Metaphor 豆瓣 谷歌图书
作者: Yuri I. Manin 出版社: American Mathematical Society 2007 - 11
The book includes fifteen essays and an interview. The essays are grouped in three parts: Mathematics; Mathematics and Physics; and Language, Consciousness, and Book reviews. Most of the essays are about some aspects of epistemology and the history of sciences, mainly mathematics, physics, and the history of language. English translations of some of the essays, originally published in Russian, appear for the first time in this selection. One of them is the introduction to the book Computable and Uncomputable, where the idea of a quantum computer was first proposed in 1980. Another is an essay on the mythological trickster figure, where the evolutionary role of manipulative behavior is discussed in connection with the problem of the origin of human language. With the foreword by Freeman Dyson, this book will be of interest to anyone interested in the philosophy and history of mathematics, physics, and linguistics.
K-theory 豆瓣
作者: Michael Atiyah 出版社: Westview Press 1994 - 6
These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory assuming only the rudiments of point-set topology and linear algebra. One of the features of the treatment is that no use is made of ordinary homology or cohomology theory. In fact, rational cohomology is defined in terms of K-theory.
The Shape of a Life 豆瓣
作者: Shing-tung Yau / Steve Nadis 出版社: Yale University Press 2019 - 4
A Fields medalist recounts his lifelong transnational effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe.
Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.
计量经济分析 豆瓣
作者: 威廉·H·格林(William H.Greene) 出版社: 中国人民大学出版社 2011 - 6
《计量经济分析(第6版)(套装上下册)》(作者威廉·H·格林)是计量经济领域“圣经”般的教材。它对计量经济学领域的知识做了全面概述及整合,并且能保持及时的更新,因而无论对社会学、医学、环境经济学还是政治学、经济学等领域,都能提供独特的研究视角和方法。 《计量经济分析(第6版)(套装上下册)》可作为社会科学领域本科高年级或研究生学习计量经济学的教材。它有两个目标:一是将学生引入应用计量经济学的殿堂,涵盖回归分析的基本方法,以及在发现线性模型不充分或不适当时所使用的各种模型;二是向读者充分介绍理论背景,并让读者认识到,这里所学习的一些新模型,就是我们所熟悉的某些模型在同一原理下的自然引申。
非线性动力学定性理论方法(第二卷) 豆瓣
作者: [俄罗斯] Leonid P. Shilnikov / Andrey L. Shilnikov 译者: 金成桴 出版社: 高等教育出版社 2010 - 9
本书详细介绍非线性动力系统高维定性理论和分支理论(局部和大范围)。本教材共分两卷。第二卷主要介绍高维动力系统的分支理论,共分8章和一个附录(例子,问题和练习),主要内容有:结构稳定系统、动力系统的分支、平衡态和周期轨线的稳定性边界上动力系统的性态、通往稳定性边界的局部分支、鞍-结点平衡态以及周期轨道消失时的大范围分支、鞍点平衡态的同宿回路分支、安全和危险的稳定性边界。本书可作为大学数学系高年级本科生、研究生和教师的教科书和教学参考书,也可供非线性动力学和动力系统其它方面的工程师、学生、教师、学者和专家学习。
数学天方夜谭 豆瓣
The Man Who Counted
作者: [巴西] 马尔巴·塔罕 译者: 郑明萱 出版社: 海南出版社 2018 - 1
流传超过半个世纪的经典数学故事,在已故巴西数学家马尔巴·塔罕的神来之笔下,活灵活现地串联文字、数学与真理间的奥妙。
《天方夜谭》是一部家喻户晓的故事书,里面充满了各种天马行空的幻想,以及机智与善良的冒险。这本书以“天方夜谭”为名,将一个个数学难题幻化成冒险经验的奇趣故事。主角“数数的人”撒米尔与他的朋友在阿拉伯一起旅行,在旅途中,他们遇见了种种数学难题,撒米尔靠着数数培养的敏锐与对数学、史实的了解而突破一个个难关。故事充满了史诗般的浪漫,有关数学的问题也涵盖了印度的数学史。本书可让我们更深入地了解阿拉伯文化、数学成就和历史,并且去深入探讨数学的本质——永恒不变、至高无上的公理。
丢番图逼近引论 豆瓣
作者: 朱尧辰 出版社: 科学出版社 1993 - 4
《丢番图逼近引论》论述了丢备图逼近的基本理论和方法,主要内容包括:实数的有理逼近的各种问题、代数数有理逼近的schmidt定理、度量理论、一致分布、多p-adic结果及数的几何基本定理。《丢番图逼近引论》内容重点突出批证计算详尽,是数学系高年级学生、研究生的一本入门书。《丢番图逼近引论》也可供数论及数论应用方面的研究人员参考。
计算理论基础 豆瓣
作者: Martin Davis / Ron Sigal 出版社: 人民邮电出版社 2009
本书是理论计算机科学领域的名作,是计算机科学核心主题的导论性教材。全书分为可计算性、文法与自动机、逻辑学、复杂性及语义学5个部分,分别讲述了可计算性理论、形式语言、逻辑学与自动演绎、可计算复杂性(包括NP完全问题)和编程语言的语义等主题,并展示了它们之间如何相互关联。.
本书是计算机及相关专业高年级本科生和研究生的理想教学参考书,对于计算机领域的专业人士也是很好的技术参考书。
空气动力学基础 豆瓣
Fundamentals of Aerodynamics
作者: (美)安德森 Anderson.J.D. 译者: 杨永 / 宋文萍 出版社: 航空工业 2010 - 2
《空气动力学基础》共分为四个部分,分别涵盖了流体力学基本原理、无黏不可压缩流动、无黏可压缩流动和黏性流动,以及与实际应用或设计相关的内容。第1部分(第1、第2章)介绍空气动力学的研究意义、应用范围,基本数学知识,流动的描述方法及流体力学基本方程。第2部分(第3~第6章)介绍伯努利方程,不可压缩无旋流控制方程,流动叠加原理和基本流动,有限展长机翼的升力线理论,一般三维流动特征等。第3部分(第7~第14章)介绍高速流动的热力学理论,能量方程,正激波及斜激波理论,普朗特-迈耶膨胀波理论,激波-膨胀波理论的应用,准一维等熵管流理论,速度势方程及其线性化理论,压缩性修正理论,临界马赫数、阻力发散马赫数概念及定义,超声速流动线性化理论及其应用。非线性超声速流的数值解,高超声速流动基础理论,牛顿理论等。第4部分(第15~第20章)介绍黏性流动的基本理论及控制方程,库埃特流动和泊肃叶流动,边界层特性,层流边界层和湍流边界层流动,湍流模型等。
本双语版教材适合相关专业院校师生使用,并可作为专业技术人员的参考用书。
Conics Books I-III 豆瓣
作者: Apollonius Of Perga / William H. Donahue 译者: Taliaferro, Catesby R. 出版社: Green Lion Press 1999 - 8
Review
"[Apollonius's Conics] is one of the greatest scientific books of antiquity." "[Apollonius was a] giant, not simply as compared with men of antiquity, but even with men of all times. ... [T]he ingenuity that enabled him to discover so much with imperfect tools [i.e., lacking the arts of analytic and projective geometry] is truly admirable...such achievements pass our imagination, they are almost weird." --George Sarton, from An Introduction to the History of Science and A History of Science
If we want to read for ourselves authors like Kepler and Newton, or if we want to understand the significance of the Cartesian mathematics that has shaped the world we live in and shapes our minds as wellóeither way, whether to understand the past in its own terms or to understand the present as a deliberate transformation of the pastówe need to study Apollonius." --Harvey Flaumenhaft Dean, St. John's College, Annapolis
Product Description
The Conics of Apollonius (3rd Century BCE) is the culmination of the brilliant geometrical tradition of ancient Greece. With astonishing virtuosity, and with a storyteller's flair for thematic development, Apollonius leads the reader through the mysteries of these intriguing curved lines, treated as objects of pure mathematics. His work in turn provided a basis for the very differently conceived investigations of modern mathematicians and scientists such as Viète, Descartes, Kepler, and Newton. Reading the Conics is an unparalleled adventure into the highest reaches of human intellectual achievement. This is a completely new edition of Taliaferro's translation of the first three books of Apollonius's Conics, with all new diagrams. It is the only English translation of these books other than Heath's out-of-print version which is a modernized retelling rather than a true translation. Conics Books I--III were formerly included in Volume 11 of the Encyclopædia Britannica's Great Books of the Western World, but the work is no longer included in that series and has been out of print. We made many corrections to the old edition's text, translation, and notes. The book features all new diagrams, an index, a bibliography, and an introductory essay by Harvey Flaumenhaft. Design and layout make it easy to read and work with, with diagrams repeated on every spread, adequate space for notes, and high quality paper to prevent show-through.
线性代数的几何意义 豆瓣
作者: 任广千 / 谢聪 出版社: 西安电子科技大学出版社 2015 - 7
本书使用向量的概念对国内高校工科“线性代数”的课程内容进行了较全面的几何分析。从向量的几何意义开始,分别讲述了向量组、向量空间、行列式、矩阵、线性方程组和二次型的几何意义或几何解释,其中不乏重要概念的物理意义的解释。这本书就像一串项梁,把上百个概念和定理的几何意义串在一起敬献给读者朋友。
本书文字多为作者原创,比如叉积的物理意义,克莱姆法则、雅可比矩阵、相似/合同矩阵、转置矩阵/对偶、矩阵乘积的行列式等系列概念的几何意义等,应用方面如使用矩阵分析的方法分析电子振荡器的工作原理等。
本书图文并茂,思路清晰、语言流畅,概念及定理解释得合理、自然,同时具有通俗性、科普性,由于本书是直接根据线性代数课程的要求进行解释的,除了适合初学者和自学者使用之外,特别适合正在学习或复习线性代数的大学生作为深入思考的辅导书籍使用。
Exponential Random Graph Models for Social Networks 豆瓣
作者: Lusher, Dean; Koskinen, Johan; Robbins, Garry 出版社: Cambridge University Press 2012 - 11
Exponential random graph models (ERGMs) are increasingly applied to observed network data and are central to understanding social structure and network processes. The chapters in this edited volume provide a self-contained, exhaustive account of the theoretical and methodological underpinnings of ERGMs, including models for univariate, multivariate, bipartite, longitudinal and social-influence type ERGMs. Each method is applied in individual case studies illustrating how social science theories may be examined empirically using ERGMs. The authors supply the reader with sufficient detail to specify ERGMs, fit them to data with any of the available software packages and interpret the results.
Scale-Free Networks 豆瓣
作者: Guido Caldarelli 出版社: Oxford University Press, USA (May 25, 2007) 2007
A variety of different social, natural and technological systems can be described by the same mathematical framework. This holds from the Internet to food webs and to boards of company directors. In all these situations a graph of the elements of the system and their interconnections displays a universal feature. There are only few elements with many connections, and many elements with few connections. This book presents the experimental evidence of these "Scale-free networks" and provides students and researchers with a corpus of theoretical results and algorithms to analyse and understand these features. The content of this book and the exposition makes it a clear textbook for beginners, and a reference book for the experts.
从数学观点看物理世界:基本粒子与统一场理论 豆瓣
作者: 马天 出版社: 科学出版社 2014 - 4
《从数学观点看物理世界:基本粒子与统一场理论》主要系统介绍由作者和汪守宏教授合作建立的关于基本粒子的弱子模型与耦合四种相互作用的统一场理论.这些物理结果是建立在这二人新发展的张量场正交分解、散度约束变分学以及统一场几何学理论的基础之上的.整个工作的特点是物理与数学高度统一、内在逻辑协调一致、结果简单明了.特别是,根据新的数学理论提出两个物理基本原理PID和PRI.由这两个原理可导出统一场方程,并在这个模型框架下推出大量与自然现象相吻合的物理结论。
从数学的观点看物理世界 豆瓣
作者: 马天,刘瑞宽,杨佳艳 出版社: 科学出版社 2018 - 1
《从数学观点看物理世界——统计物理与临界相变理论》主要系统地介绍了统计物理经典的基本概念、理论与方法。此外,也系统地介绍了作者与汪守宏教授在该学科和相变领域研究的一些成果,包括势下降原理、热理论、热力学势数学表达、动力学涨落、平衡相变动力学、热力学标准模型临界涨落效应、凝聚态形成的量子机理、高温超导、量子相变、流体的边界与内部旋涡形成、太阳电磁爆发、星系螺旋结构,以及引力辐射等新理论与新结果。
交换代数 豆瓣
作者: David Eisenbud 出版社: 世界图书出版公司 2008 - 5
《交换代数(英文影印版)》主要内容:It has seemed to me for a long time that commutative algebra is best practiced with knowledge of the geometric ideas that played a great role in its formation: in short, with a view toward algebraic geometry.Most texts on commutative algebra adhere to the tradition that says a subject should be purified until it references nothing outside itself. There are good reasons for cultivating this style; it leads to generality, elegance, and brevity, three cardinal virtues. But it seems' to me unnecessary and undesirable to banish, on these grounds, the motivating and fructifying ideas on which the discipline is based.