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再版数学物理类图书

《微分几何(英文影印版)》

  《微分几何(英文影印版)》系统并深入地阐述了微分几何的概念及性质,并且全面研究了cartan联络,很适合研究生一年级学习理解。内容体系脉络清晰,完整。前四章全面讲述了微分拓扑、叶状结构,李群和齐次空间;第五章讲述了产生齐次空间的cartan几何,和黎曼几何产生欧几里得几何很相似。cartan几何的一个很漂亮的方面将曲率看作是破缺对称性的精确局部度量;最后三章研究了黎曼几何、共形几何和射影几何;五个附录中介绍了cartan和ehresmann联络和从对称的角度考虑散度和旋度算子的不同特性。目次:微分拓扑;叶状结构;微积分基本定理;klein几何;cartan几何;黎曼几何;mobius几何;射影几何。附录:ehresmann 联络;不滑动和扭曲的滚动;一维有效klein对的分类;来自对称的微分算子;主丛的分类。
  读者对象:数学专业的高年级本科生、研究生和科研人员。

《计算非弹性(英文影印版)》

  This book goes back a long way. There is a tradition of research and teaching in inelasticity at Stanford that goes back at least to Wilhelm Flugge and Erastus Lee.I joined the faculty in 1980, and shortly thereafter the Chairman of the Applied Mechanics Division, George Herrmann, asked me to present a course in plasticity.I decided to develop a new two-quarter sequence entitled Theoretical and Computational Plasticity which combined the basic theory I had learned as a graduate student at the University of California at Berkeley from David Bogy, James Kelly,Jacob Lubliner, and Paul Naghdi with new computational techniques from the finite-element literature and my personal research. I taught the course a couple of times and developed a set of notes that 1 passed on to Juan Simo when he joined the faculty in 1985.1 was Chairman at that time and I asked Juan to furthdr develop the course into a full year covering inelasticity from a more comprehensive per-spectiye.

《朴素集合论(英文影印版)》

  Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to decide how much is some. This book contains my answer to that question. The purpose of the book is to tell the beginning student of advanced mathematics the basic settheoretic facts of life, and to do so with the minimum of philosophical discourse and logical formalism. The point of view throughout is that of a prospective mathematician anxious to study groups, or integrals, or manifolds. From this point of view the concepts and methods of this book are merely some of the standard mathematical tools; the expert specialist will find nothing new here。

《共形场论 第2卷(英文影印版)》

  本书共18章,分为3个部分。.
  第1部分——简介。第1章中对本书籍涉及的相关概念进行了简单回顾。第2章是量子场论的一些基本概念,如自由玻色(费米)子,路径积分,关联函数,对称与守恒量,以及能动张量。第3章则涉及统计力学的一些基本概念,如玻尔兹曼分布,临界现象,重整化群和转移矩阵。..
  第2部分——基础理论。首先,第4章介绍了全局的共形不变。然后,第5章详细论述了有关二维共形不变基本而重要的概念,内容包括初级场、关联函数、ward恒等式、自由场、算子积展开和中心荷等等。第6章则是更为详细论述算子表述下的共形场论,此章的重点是virasoro代数和顶点代数。随后两章论述了极小模型,极小模型是共形场论中最重要的模型之一。第9章和第10章分别介绍库仑气体和模不变,屏蔽算子和verlinde公式等重要概念亦先后引入。第11、12两章分别介绍了q-态potts模型和二维ising模型。畅销书。
  第3部分——具有李群对称性的共形场论。第13章介绍了单李代数的一些基本内容,如单李代数的结构,最高权表示和特征标等等。第14章为仿射李代数(亦称kac-moody代数),内容基本与第13章平行。第15~17章,讨论的主题都是wzw(wess-zumino-witten)模型。wzw模型是二维共形场论中另一个最重要的模型,它集中体现了二维共形场论的各种性质。最后一章,即18章为陪集构造。陪集构造是共形场论最重要的手段之一。对于物理学或是数学工作者而言,陪集构造方法将二维共形场论的研究带入到一个新的天地。
  本书各章之后有大量的练习题,可检验和加深对所学内容的理解。
  本图书可作为高等院校理论物理数学专业高年级本科生和研究生教材,也可供物理学和数学等相关学科研究人员参考。...

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