数学
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等离子体物理及其空间应用导论[美]路易斯.孔德本书分为两部分。部分介绍了诸如分子碰撞、平均自由程、动力学理论等主题。接下来是对粒子碰撞的物理描述,以及有关等离子体基本过程在原子和分子水平上的离子和电子的相关问题。这些问题在航空航天工程学院的物理课程教学大纲中并不常见。第二部分介绍了作为相互作用的粒子系统的等离子体的物理描述:动力学理论和宏观的等离子体传输方程。在航空航天技术的等离子物理学的众多应用中,作者将向读者介绍微波次级电子倍增冲击和等离子体推进器的空间推进。 -
走出混沌丁玖 著本书以作者与世界著名华人数学家、“混沌”概念提出者之一李天岩从相识到入门直至李天岩于2020年去世为止三十多年的交往为主线,介绍了李天岩的杰出数学成就,让读者近距离地感受他的数学思想、育人之道和人格魅力。作品感情真挚、语言流畅,颇有可读性,书中有许多关于数学的真知灼见,对于数学爱好者和数学工作者都颇有启示意义。 -
概率论及其应用导论 第1卷[美] 威廉·费勒 著WHEN THIS BOOK WAS FIRST CONCEIVED (MORE THAN 25 YEARS AGO)few mathematicians outside the Soviet Union recognized probability as a legitimate branch of mathematics.Applications were limited in scope,and the treatment of individual problems often led to incredible com-plications.Under these circumstances the book could not be written for an existing audience,or to satisfy conscious needs.The hope was rather to attract attention to little-known aspects of probability,to forge links between various parts,to develop unified methods,and to point topotential applications.Because of a growing interest in probability,the book found unexpectedly many users outside mathematical disciplines.Its widespread use was uncterstandable as long as its point of view was new and its material was not otherwise available.But the popularity seems to persist even now,when the contents of most chapters are avail-able in specialized works streamlined for particular needs.For this reason the character of the book remains unchanged in the new edition.I hope that it will continue to serve a variety of needs and,in particular,that it will continue to find readers who read it merely for enjoyment and enlightenment.Throughout the years I was the grateful recipient of many communica-tions from users,and these led to various improvements.Many sections were rewritten to facilitate study.Reading is also improved by a better typeface and the superior editing job by Mrs.H.McDougal: although a professional editor she has preserved a feeling for the requirements of readers and reason.The greatest change is in chapter Ⅲ.This chapter was introduced only in the second edition,which was in fact motivated principally by the unexpected discovery that its enticing material could be treated by elementary methods.But this treatment still depended on combinatorial artifices which have now been replaced by simpler and more natural probabilistic arguments.In essence this new chapter is new.Most conspicuous among other additions are the new sections on branching processes,on Markov chains,and on the De Moivre-Laplace theorem.Chapter ⅩⅧ has been rearranged,and throughout the book there appear minor changes as well as new examples and problems.I regret the misleading nature of the author index,but I felt obliged to state explicitly whenever an idea or example could be traced to a partic-ular source.Unfortunately this means that quotations usually refer to an incidental remark,and are rarely indicative of the nature of the paper quoted.Furthermore,many examples and problems were inspired by reading non-mathematical papers in which related situations are dealt with by different methods.(That newer texts now quote these non-mathematical papers as containing my examples shows how fast prob-ability has developed,but also indicates the limited usefulness of quotations.) Lack of space as well as of competence precluded more adequate historical indications of how probability has changed from thesemimysterious discussions of the twenties to its present flourishing state.For a number of years I have been privileged to work with studentsand younger colleagues to whose help and inspiration I owe much.Much credit for this is due to the support by the U.S.Army Research Office for work in probability at Princeton University.My particularthanks are due to Jay Goldman for a thoughtful memorandum about histeaching experiences,and to Loren Pitt for devoted help with the proofs. -
数学建模竞赛实战指导与论文评析杨辉跃,吴松林 著《数学建模竞赛实战指导与论文评析》主要针对数学建模竞赛而编写,介绍竞赛准备、竞赛过程、竞赛论文写作等全方位的竞赛经验,并通过获奖优秀论文的评析,呈现竞赛过程的全貌。《数学建模竞赛实战指导与论文评析》分为3篇:首篇为数学建模竞赛参赛指导;第二篇为全国大学生数学建模竞赛实战论文评析;第三篇为全国研究生数学建模竞赛实战论文评析。《数学建模竞赛实战指导与论文评析》可作为参加全国大学生数学建模竞赛的专科生、本科生和全国研究生数学建模竞赛的研究生的教材使用,也可供从事建模竞赛指导的教师参考。 -
大学文科数学 第四版张国楚,史建红,武女则,王向华 著本书内容分两部分,其中必修内容包括实数、函数、极限、导数、不定积分、定积分、概率统计初步;选修内容包括线性代数、微分方程、二元函数微积分。本书从各个角度自然地引入数学的基本概念,列举了不少有应用价值的实例,也扼要地阐明了具有启发意义的数学思想方法;通过对数学内容的辩证分析、典型数学史料的穿插融合,以及数学思想方法简介和中外著名数学家简介两个阅读材料,渗透了数学的人文精神。本次修订更新了较陈旧的例题和习题,调整修改了个别章节的阅读材料。同时还配备了数字资源,包含章末自测题、期末测试卷等内容,可作为教与学的有益助手。 本书可作为高等学校文科各专业的数学教材,配套的学习辅导也将同步出版发行。 -
精细化核算张胜著本书是作者继《做成本会计应知应会150问(第二版)》后的又一力作。围绕如何做好成本精细化核算和研发支出精细化核算两条主线,对成本核算过程中存在的问题逐一剖析,并且介绍了具体的解决方案,保证产品成本核算准确。特点如下:1.结合管理会计理念、内部控制化核方法等,阐述精细化核算思路;2.分享大量案例、工具模型,推动成本管理实践; 3.分析主要业务内部控制风险点,帮助企业降本增效。 -
数学分析基础18讲杨鎏本书是作者在多年讲授数学分析、数学分析选讲、考研数学材料的基础上。多次修订而成的。本书主要包括函数与极限、一元函数微积分、多元函数微积分、无穷级数理论等内容,共 18 讲,每讲分五个板块,分别由背景简介、内容聚焦、解惑释疑、习题精练、习题解析组成。本书系统全面,例题丰富,思路新颖,注重基础,适用于高等院校数学类各专业的学生学习数学分析课程及报考研究生复习使用,也可供从事数学分析教学的年轻教师参考。 -
线性代数陈晓星,江巧洪,陈锦松 著本书根据理工类和经济管理类本科数学基础课程教学基本要求,参考《全国硕士研究生统一招生考试数学考试大纲》,结合编者多年的教学实践编写而成。全书共分六章,主要内容包括方程组与矩阵、行列式、向量组的线性相关性、特征值与特征向量、二次型、线性空间与线性变换。其中第一至五章(除小字内容外)符合教学基本要求,教学时数约34学时,小字内容可供学时较多的高校选讲或读者选读;第六章可供对数学要求较高的专业选用。每章配有小结与习题,习题分为两部分:第一部分基本题,包括填空题、选择题、计算题和简单证明题,第二部分是提高题,书后给出了基本题的参考答案及提高题的详细解答。附录中收集了2014年至2020年的考研真题,并给出详细解答。本书可作为高等学校理工类、经济管理类各专业线性代数的教材或参考书,也可以作为全国硕士研究生统一招生考试的数学辅导书。 -
非交换几何、规范理论和重整化[法] 阿克塞尔·德·古萨克《非交换几何、规范理论和重整化:一般简介与非交换量子场论的重整化(英文)》是一部英文版的数学专著,中文书名或可译为《非交换几何、规范理论和重整化:一般简介与非交换量子场论的重整化》。现在,非交换几何在数学上是一个新兴发展的领域,同时也呈现为前景可观的现代物理学框架,非交换空间上的量子场论确实需要全面的探索,并且得到新的有趣的特征,《非交换几何、规范理论和重整化:一般简介与非交换量子场论的重整化(英文)》提供了一个对非交换几何、畸变量子化与量子场论的重整化:Wilson和BPHZ的对标量理论的方法以及对规范理论的代数方法的基本概念的教育性的介绍。《非交换几何、规范理论和重整化:一般简介与非交换量子场论的重整化(英文)》能够帮助读者理解几个一般性的非交换量子场论的问题,基于作者的博士论文,《非交换几何、规范理论和重整化:一般简介与非交换量子场论的重整化(英文)》给出了欧氏Moyal空间上的量子场论的重整化问题的概览,并且特别着重于Grosse-Wulkenhaar模型,以及与其相关的规范理论和其数学解释。《非交换几何、规范理论和重整化:一般简介与非交换量子场论的重整化(英文)》适用于想要理解这个前沿的数学和物理研究领域的研究生和科研人员。 -
概率论与数理统计梁建英,陈英伟 著本书基于**的“经济和管理类本科数学基础课程教学基本要求”修订而成。在教材内容的处理上,本书力求将概念、理论与方法的表述简单化、直观化,使内容通俗易懂,易于读者接受;注重知识的来龙去脉与概念的产生背景,有意识地融入数学史和数学文化的有关内容;例题与习题的难度循序渐进,力求突出财经特色。本书内容包括概率论与数理统计两部分。概率论部分有:随机事件及其概率、随机变量及其概率分布、随机变量的数字特征、多维随机变量、大数定律与中心极限定理;数理统计部分有:统计量及抽样分布,参数的估计,假设检验、回归分析。本次修订在保持原版体系与结构的基础上转型升级为新形态教材,每章配备了自测题,以便读者及时检测学习效果,同时,习题参考答案也设为了数字资源,读者可扫描相应二维码进行查看。本教材可供高等院校经济管理类各专业学生使用,也可供相关专业学生选用。
