《判别式、结式和多维行列式(英文)》以全新的方式讲述了结式和判别式的经典理论。书中好多重要的新的结果在作者早期的众多文章中都已经面世过,《判别式、结式和多维行列式(英文)》巧妙合理地将这些新旧理论衔接起来,使之成为一本经典的著作。目次:(一)一般判别式和结式:射影对偶变量和一般判别式;判别式研究的cayley方法;联合变量和一般结式;chow变量;(二)a判别式和a结式:牛顿多面体和chow多面体;三角和次多面体;a判别式;主a—行列式;常规a行列式和a判别式;(三)经典判别式和结式;单变量多项式的判别式和结式;多变量形式的判别式和结式;超行列式。
《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.
《纤维丛(第3版)》讲述了:The notion of a fibre bundle first arose out of questions posed in the 1930s on the topology and geometry of manifolds. By the year 1950, the definition of fibre bundle had been clearly formulated, the homotopy classification of fibre bundles achieved, and the theory of characteristic classes of fibre bundles developed by several mathematicians: Chern, Pontrjagin, Stiefel, and Whitney. Steenrod'ook, which appeared in 1950, gavea coherent treatment of the subject up to that time. About 1955, Miinor gave a construction ora universal fibre bundle for any topological group. This construction is also included in Part I along with an elementary proof that the bundle is universal.
《马尔科夫过程导论》讲述了:Tosomeextent,itwouldbeaccuratetosummarizethecontentsofthiookasanintolerablyprotracteddescriptionofwhathappenswheneitheroneraisesatransitionprobabilitymatrixP(i.e.,allentries(P)oarenonandeachrowofPsumsto1)tohigherandhigherpowersoroneexponentiatesR(P-I),whereRisadiagonalmatrixwithnon-entries.Indeed,whenitesrightdowntoit,thatisallthatisdoneinthiook.However,I,andothersofmyilk,wouldtakeoffenseatsuchadismissivecharacterizationofthetheoryofMarkovchainsandprocesseswithvaluesinacountablestatespace,andaprimarygoalofmineinwritingthiookwastoconvinceitsreadersthatouroffensewouldbewarranted
《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。
古人云:工欲善其事,必先利其器。本书介绍的是分子生物学技术这一工具,且它本身就是掌握这些技术的有力工具。倘若你正在和将要从事某方面的生物科学实验室工作,这本手册将会成为你的知心朋友,令你爱不释手。
《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
《高等有机化学:反应与合成(第5版)》是《高等有机化学:反应与合成(第5版)》的新版,自从1977年面世以来,《高等有机化学:反应与合成(第5版)》作为学科教材的地位一直没有动摇过,广泛地覆盖了有机化合物的结构、反应活性及合成。她的第五版相对2001年出版的第四版进行了大幅度的修订,更新了学科发展的相关资料,内容组织更加清晰明朗,特别是计算化学部分。通过控制反应而得到特定的合成是有机合成的全部目标。PartB在不同反应类型的基础上详尽地描述了最常见的和最有用的合成反应。每章后附有习题精选及解答习题的参考文献。
《伯克利物理学教程(SI版)?第4卷:量子物理学(英文)》阐述了量子物理学的基本原理和概念。《伯克利物理学教程(SI版)?第4卷:量子物理学(英文)》共包括9章:导论、量子物理学中物理量的量值、能级、光子、实物粒子、测不准原理和测量理论、薛定谔波动力学、定态理论、基本粒子及其相互作用。作者在书中用了许多实验事实来说明量子物理学理论的根据,并特别着重于澄清对量子物理学的一些误解。书中还简要叙述了量子物理学在原子物理、分子物理、核物理和基本粒子等领域中的应用。《伯克利物理学教程(SI版)?第4卷:量子物理学(英文)》可作为高等院校物理学、应用物理学专业或其他理工科专业的教材或参考书,也可供相关科技人员参考。
《平衡态统计物理学(第3版)》内容简介:During the last decade each of the authors has regularly taught a graduate or senior undergraduate course in statistical mechanics. During this same period, the renormalization group approach to critical phenomena, pioneered by K. G. Wilson, greatly altered our approach to condensed matter physics. Since its introduction in the context of phase transitions, the method has found application in many other areas of physics, such as many-body theory, chaos, the conductivity of disordered materials, and fractal structures. So pervasive is its influence that we feel that it now essential that graduate students be introduced at an early stage in their career to the concepts of scaling,
《旋量与时空(卷)》 is the first to present a comprehensive development of space-time geometry using the 2-spinor formalism. There are also several other new features in our presentation. One of these is the systematic and consistent use of the abstract index approach to tensor and spinor calculus. We hope that the purist differential geometer who casually leafs through the book will not automatically be put off by the appearance of numerous indices. Except for the occasional bold-face upright ones, our indices differ from the more usual ones in being abstract markers without reference to any basis or coordinate system. Our use of abstract indices leads to a number of simplifications over conventional treatments.