maths
离散数学 豆瓣
Discrete Mathematics: Elementary and Beyond
作者: László Lovász / József Pelikán 出版社: 清华大学出版社 2006 - 9
本书包括组合、图论及它们在优化和编码等领域的应用。全书只有约300页,但涵盖了信息领域一些广泛而有趣的应用,及离散数学领域新颖而前沿的研究课题。
本书非常适合计算机科学、信息与计算科学等专业作为“离散数学”引论课程的教材或参考书。
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.
Calculus With Analytic Geometry 豆瓣
作者: George F. Simmons 出版社: McGraw Hill Higher Education 1995 - 10
Written by acclaimed author and mathematician George Simmons, this revision is designed for the calculus course offered in two and four year colleges and universities. It takes an intuitive approach to calculus and focuses on the application of methods to real-world problems. Throughout the text, calculus is treated as a problem solving science of immense capability.
Ramsey Theory, 2nd Edition 豆瓣
作者: Ronald L. Graham / Bruce L. Rothschild 出版社: Wiley-Interscience 1990 - 3
Wiley-Interscience Series in Discrete Mathematics and Optimization Advisory Editors: Ronald L. Graham, Jan Karel Lenstra, and Robert E. Tarjan Discrete mathematics, the study of finite structures, is one of the fastest-growing areas in mathematics. The wide applicability of its evolving techniques points to the rapidity with which the field is moving from its beginnings to its maturity, and reflects the ever-increasing interaction between discrete mathematics and computer science. This Series provides broad coverage of discrete mathematics and optimization, ranging over such fields as combinatorics, graph theory, enumeration, and the analysis of algorithms. The Wiley-Interscience Series in Discrete Mathematics and Optimization will be a substantial part of the record of the extraordinary development of this field. A complete listing of the titles in the Series appears on the inside front cover of this book. "[Integer and Combinatorial Optimization] is a major contribution to the literature of discrete programming. This text should be required reading for anybody who intends to research this area or even just to keep abreast of developments." --Times Higher Education Supplement, London "An extensive but extremely well-written graduate text covering integer programming." --American Mathematical Monthly Recent titles in the Series include: Integer and Combinatorial Optimization George L. Nemhauser and Laurence A. Wolsey 1988 (0 471-82819-X) 763 pp. Introduction to the Theory of Error-Correcting Codes Second Edition Vera Pless For mathematicians, engineers, and computer scientists, here is an introduction to the theory of error-correcting codes, focusing on linear block codes. The book considers such codes as Hamming and Golay codes, correction of double errors, use of finite fields, cyclic codes, B.C.H. codes, weight distributions, and design of codes. In a second edition of the book, Pless offers thoroughly expanded coverage of nonbinary and cyclic codes. Some proofs have been simplified, and there are many more examples and problems. 1989 (0 471-61884-5) 224 pp.
数学译林 豆瓣
数学译林——国际数学进展
国内唯一的综合性数学译刊。精选国际各类数学刊物中有关数学发展趋势与现状、数学教学、数学争鸣、数学史及人物传记的重要文章。
《数学译林》自1980年创刊以来,得到数学界各方面人士及广大读者的支持与帮助,我们仅向爱护和鼓励本刊的各界人士致意!
《数学译林》是综合性学术刊物,介绍国外数学最新进展、现代数学知识、各种数学观点、数学史及人物传记资料,以促进我国数学事业的发展,加速数学人
才的培养。
《数学译林》翻译英。日、法、德、俄等多种文字的资料,选题广泛,内容丰富。数学研究工作者、大学教师、中学教师、研究生、大学生、数学爱好者都能从本刊找到感兴趣和具有保存价值的文献资料。己开设的主要栏目是。
综合报告 世界著名数学家在各种会议、讨论班及杂志上发表的对某一学科或专题的综述性文章,从中可窥见世界数学研究的潮流
学科与专题介绍 涉及数学中古老分支与新兴交叉学科或专题的现代研究内容及方法。为您了解当代数学面貌,选择研究方向提供信息。
进展简介 尽快反映数学家近期获得的重要研究成果。您能从中感知当今世界数学发展的脉搏
数 学 史 介绍重要数学分支和概念的萌发、形成与发展,对数学发展产生重大影响的事件,以及数学家集体的活动。它将使您更全面地了解和认识数学家成长发展之路。
人物与传记 杰出数学家的奋斗之路、研究方法、治学态度及生平轶事,将向您提供启迪思路的精神营养。
数学争鸣 选登数学家对数学本质、数学发展前景,数学教育改革等各种问题的见解与争论。读后能开阔眼界、活跃思想、耳目一新。
数学教育 各国各级数学教育的过去及现在、数学教育改革问题、外国数学博士资格试题等。
数学小品 为您展现数学宝库中那些晶莹的小宝石。对数学感兴趣的人,都能亲自领略它们的光彩。
本刊还不定期地开设数学哲学、数学奖与数学竞赛、书评、研究生课程设置、数学问题等栏目。
自2000年始,本刊将陆续增加国内数学信息的内容,如招考研究生,学术会议及数学出版物等方面的信息。
微积分的历程 豆瓣
The Calculus Gallery: Masterpieces from Newton to Lebesgue
作者: William Dunham 译者: 李伯民 / 汪军 出版社: 人民邮电出版社 2010 - 8
“微积分”这一名称最早出现在哪本书中?第一本微积分教科书又是谁人所写?微积分究竟是谁人发明的?著名的洛必达法则居然是伯努利的研究成果?谁被誉为“分析学的化身”?谁又被誉为“现代分析学之父”?哪些数学天才使微积分的创建过程终于画上完美的句号?……本书将带你一一探究上述问题。
本书宛如一座陈列室,汇聚了十多位数学大师的杰作,当你徜徉其中时会对人类的想象力惊叹不已,当你离去时必然满怀对天才们的钦佩感激之情。作者同读者一起分享了分析学历史中为人景仰的理论成果。书中的每一个结果,从牛顿的正弦函数的推导,到伽玛函数的表示,再到贝尔的分类定理,无一不处于各个时代的研究前沿,至今还闪烁着耀眼夺目的光芒。
本书文风典雅,文笔优美,兼具趣味性和学术性。对于中学生乃至大学师生,都是极为难得的课外读物。
概率与测度 豆瓣
作者: 别林斯里 出版社: 世界图书出版公司 2007 - 5
《概率与测度(第3版)》是《概率与测度》第3版,新版保留了原先的风格,将测度论和概率论有机结合在一起,把相关内容混合排列。概率问题会引起学生学习测度论的兴趣,而测度论知识又反过来应用到概率论中。《概率与测度(第3版)》主要内容包括概率、测度、积分、随机变量及数学期望、分布的收敛的问题、导数与条件期望,随机过程等。
点击链接进入英文版:
Probability and Measure, 3E
代数学引论(第二卷) 豆瓣
作者: [俄] A. И. 柯斯特利金 译者: 牛凤文 出版社: 高等教育出版社 2008 - 1
《代数学引论(第2卷):线性代数(第3版)》是作者总结了在莫斯科大学几十年来代数课程的教学经验而写成的,全书分成三卷《第一卷:基础代数,第二卷:线性代数,第三卷:基本结构》,分别对应于莫斯科大学数学力学系代数教学的三学期的内容。作者在书中把代数、线性代数和几何统一处理成一个教程,并力图把《代数学引论(第2卷):线性代数(第3版)》写成有利于培养学生创造性思维的教材。书中配置了难度不同的大量习题。并向学生介绍一些专题中尚未解决的问题。第三卷的内容包括群论的一些基本理论,群的结构。表示论基础,环、代数与模。伽罗瓦理论初步。
高等代数简明教程(下册) 豆瓣
作者: 蓝以中 出版社: 北京大学出版社 2007 - 7
本书是综合大学、师范院校高等代数课程教学用书,第一版被评为普通高等教育“十五”国家级规划教材,北京市高等教育精品教材立项项目。
此教材有两个特色:一是贴切课堂教学和学生自学的实际,由浅入深,从具体到抽象,由生动直观到理性推理,使学生较为顺利地进入代数学的抽象领域;二是以代数学的研究对象和基本思想、基本方法作为全书的主线,从而保证学生受到较充分的代数学训练,在理论上达到足够的深度和高度。其科学内容符合作为现代代数学入门课程的教材所应达到的水准。
第二版对全书作了系统、全面的修订,使这两个特色更臻完善。全书共十二章,分上、下两册出版。上册(第一章至第五章)是线性代数的基础教材,内容包括向量空间、矩阵、行列式、线性空间与线性变换、双线性函数与二次型。下册(第六章至第十二章)包括三方面内容:一是带度量的线性空间及Jordan标准形;二是有理整数环及一元、多元多项式环,第二版中又增加了介绍群、环和域的基本概念的内容;三是n维仿射空间与n维射影空间,张量积与外代数。
高等代数简明教程(上册) 豆瓣 Goodreads
9.6 (5 个评分) 作者: 蓝以中 出版社: 北京大学出版社 2007 - 7
《高等代数简明教程》共十二章,分上、下两册出版。
上册(第一章至第五章)是线性代数的基础教材,内容包括向量空间、矩阵、行列式、线性空间与线性变换、双线性函数与二次型。每个章节都安排了相当数量的习题作为课外练习或习题课上选用,其中的计算题在书末附有答案,较难的题则有提示。
本书可作为综合大学、高等师范院校数学系、力学系、应用数学系大学生高等代数课程的教材或教学参考书,对于青年教师、数学工作者也是很好的教学参考书或学习用书。