《示性类》内容简介:The text which follows is based mostly on lectures at PrincetonUniversity in 1957. The senior author wishes to apologize for the delayin publication.The theory of characteristic classes began in the year 1935 with almostsimultaneous work by HASSLER WHITNEY in the United States andEDUARD STIEFEL in Switzerland. StiefeI's thesis, written under thedirection of Heinz Hopf, introduced and studied certain "characteristic"homology classes determined by the tangent bundle of a smooth manifold.Whitney, then at Harvard University, treated the case of an arbitrary spherebundle. Somewhat later he invented the language of cohomology theory,hence the concept of a characteristic cohomology class, and proved thebasic product theorem.
《线性代数(第4版)》讲述了:This textbook gives a detailed and prehensive presentation of linear algebra based on an axiomatic treatment of linear spaces. For this fourth edition some new material haeen added to the text, for instance, the intrinsic treatment of the classical adjoint of a linear transformation in Chapter IV, as well as the discussion of quaternions and the classification of associative division algebras in Chapter VII. Chapters XII and XIII have been substantially rewritten for the sake of clarity, but the contents remain basically the same aefore. Finally, a number of problems covering new topics- e.g. plex structures, Caylay numbers and symplectic spaces- have been added. ...
《模形式与费马大定理(英文)》中介绍和扩充讲述了wiles的许多观点和技巧,并阐述了他的结果是如何与ribets定理、frey,serre思想的结合,来证明费马最后定理。从一个完整的证明开始,紧接着用一些章节介绍了双曲线、模函数、曲线、伽罗瓦上同调和有限群的基本概念。表示理论是整个证明的核心,在一章有关自同构表示论和langlands-tunnell定理给出,紧随其后深度介绍serres猜想、伽罗瓦变形、一般变形环、hacke代数。此书以回顾和展望作为结束,既反映了这个问题的历史,又将wiles定理放在了一个更加一般的diophantine背景,给出了预期应用。数学专业的学生和老师将会发现这本书是一部很难得参考书。
《现代概率论基础(第二版)》介绍要使我国的数学事业更好地发展起来,需要数学家淡泊名利并付出更艰苦地努力。另一方面,我们也要从客观上为数学家创造更有发展数学事业的外部环境,这主要是加强对数学事业的支持与投资力度,使数学家有较好的工作与生活条件,其中了包括改善与加强数学的出版工作。修订版增加了四章,并对原版内容作了大量修改。
本书收录了橡胶轮胎原材料、化学材料与助剂、生产管理、生产工艺及设备、合成橡胶生产等方面使用频率较高的词汇及专业术语等共30000余条;对英文词汇加注了音标,对中文加注了拼音。全书按照专业板块分类,各专业板块中词汇按照字母顺序排序,查阅方便。 本书对于橡胶行业内管理人员、商务人员、技术人员都有很好的参考价值。
《示性类》内容简介:The text which follows is based mostly on lectures at PrincetonUniversity in 1957. The senior author wishes to apologize for the delayin publication.The theory of characteristic classes began in the year 1935 with almostsimultaneous work by HASSLER WHITNEY in the United States andEDUARD STIEFEL in Switzerland. StiefeI's thesis, written under thedirection of Heinz Hopf, introduced and studied certain "characteristic"homology classes determined by the tangent bundle of a smooth manifold.Whitney, then at Harvard University, treated the case of an arbitrary spherebundle. Somewhat later he invented the language of cohomology theory,hence the concept of a characteristic cohomology class, and proved thebasic product theorem.
《希尔伯特空间问题集(第2版)》讲述了:This book was written for the active reader. The first part consists of problems, frequently preceded by definitions and motivation, and some-times followed by corollaries and historical remarks. Most of the problems are statements to be proved, but some are questions (is it?, what is?), and some are challenges (construct, determine). The second part, a very short one, consists of hints. A hint is a word, or a paragraph, usually intended to help the reader find a solution. The hint itself is not necessarily a con-densed solution of the problem; it may just point to what I regard as the heart of the matter. Sometimes a problem contains a trap, and the hint may serve to chide the reader for rushing in too recklessly. The third part, the longest, consists of solutions: proofs, answers, or constructions, depending on the nature of the problem
《粒子物理学中的超对称》内容简介:This book is intended to be an elementary and practical introduction to supersymmetry in particle physics. More precisely, I aim to provide an accessible, self-contained account of the basic theory required for a working understanding of the 'Minimal Supersymmetric Standard Model' (MSSM), including 'soft' symmetry breaking.Some simple phenomenological applications of the model are also developed in the later chapters.
本词典能作为从事中药研发与生产,医学、药学、分子生物学、生物化学、植物学、食品、农学、天然资源、海洋、环保、军事医学等学科的专业技术人员,高年级本科生、研究生,教师,管理人员,交叉学科工作者以及相关专业科研人员的常备工具书。
《Lévy过程的Malliavin分析及其在金融学中的应用(英文)》内容简介:There are already several excellent books on Malliavin calculus. However, most of them deal only with the theory of Malliavin calculus for Brownian motion, with as an honorable exception. Moreover, most of them discuss only the application to regularity results for solutions of SDEs, as this was the original motivation when Paul Malliavin introduced the infinite-dimensional calculus in 1978 in. In the recent years, Malliavin calculus has found many applications in stochastic control and within finance. At the same time, Levy processes have bee important in financial modeling. In view of this, we have seen the need for a book that deals with Malliavin calculus for Levy processes in general, not just Brownian motion, and that presents some of the most important and recent applications to finance.
《量子化学(第3版)》在写作风格上是第二版的延续,内容上进行了扩充,更新,讲解上更加详细。结合数学进展,在概念上达到清晰易懂。和同类型的书相比,《量子化学(第3版)》的优点是概念讲述地十分透彻,让读者重新认识各种计算方法的重要性。每章末都有习题,是学习量子化学研究生水平入门书籍,也很适合该专业的老师作为参考书。目次:经典波和时间独立schr?dinger波方程;一些简单系统的量子力学;谐振子;类离子,角动量和刚量转动;多电子原子;量子力学定理和假设;变分法;简单hückel方法和应用;线性变分法的矩阵公式;扩展hückel方法;scf-lcao-mo方法和扩展;时间独立rayleigh-schr?dinger扰动法;群论;定性分子轨道理论;周期系统的分子轨道。
《索伯列夫乘子理论》旨在为读者全面讲述微分函数空间对中点乘子理论。这个理论是在过去的三十年中通过众多学者大量积累发展起来的,《索伯列夫乘子理论》是前人结果的延伸和扩展。这部著作综合性强,文笔流畅,结构紧凑,是泛函分析,偏微分方程和伪微分算子等相关数学专业不可多得的教材和参考书。读者对象:数学领域的学生,专家,学者和相关的科研工作者。
《简明量子场论(第2版)(英文)》用略带口语化的语言写成,作者似乎是面对面与你谈论有关的物理学话题。体现作者深刻物理学智慧的内容,俯拾皆是。用最简洁的数学工具,凸显物理学思想,结合轻松幽默的语言,不经意之间,将你引入物理学问题的核心。阅读此书给你带来的喜悦,和喜悦之后的收获,似乎只有“The Feynman Lectures on Physics”,与之在伯仲之间。如果想体念和分享,量子场论之美,量子场论之优雅,你不可不读此书。
《莫尔斯理论(英文)》主要内容简介:This book gives a present-day account of Marston Morse's theory of the calculus of variations in the large. However, there have been Im-portant developments during the past few years which are not mentioned.Let me describe three of these.