《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.
《高阶无限(第2版)(英文)》主要内容简介:My first thanks goes to Gert Miiller who initially suggested this project and persisted in its encouragement. Thanks also to Thomas Orowan who went through many iterations of the difficult typing in the early stages. James Baumgartner,Howard Becket, and Jose Ruiz read through large portions of the text and offered extensive suggestions.
《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.
《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或参考书,也可供相关科技人员参考。
《量子场论》内容简介:I have tried to make the subject as accessible to beginners as possible. There are three main aspects to my approach. Logical development of the basic concepts. This is, of course, very different from the historical development of quantum field theory, which, like the historical development of most worthwhile subjects, was filled with inspired guesses and brilliant extrapolations of sometimes fuzzy ideas, as well as its fair share of mistakes, misconceptions, and dead ends. None of that is in thiook. From thiook, you will (I hope) get the impression that the whole subject is effortlessly clear and obvious, with one step following the next like sunshine after refreshing rain.
《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推荐参考文献。
《凸优化(英文)》介绍了凸分析中的基本概念和对凸极小化问题的研究。《凸优化(英文)》选出了两卷书中的精华,删除了一些被认为是艰深晦涩以及和数值分析雷同的内容。书中各章有大量习题。目次:介绍:符号、基本结论;凸集;凸函数;次线性函数和支撑函数;有限凸函数的次微分;凸分析的共轭性。读者对象:数学专业的研究生及数学工作者。
《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:To some extent, it would be accurate to summarize the contents of thiook as an intolerably protracted description of what happens when either one raises a transition probability matrix P (i.e., all entries (P)o are non and each row of P sums to 1) to higher and higher powers or one exponentiates R(P - I), where R is a diagonal matrix with non- entries. Indeed, when it es right down to it, that is all that is done in thiook. However, I, and others of my ilk, would take offense at such a dismissive characterization of the theory of Markov chains and processes with values in a countable state space, and a primary goal of mine in writing thiook was to convince its readers that our offense would be warranted
《线性代数群》讲述了:For this printing, I have corrected some errors and made numerous minor changes in the interest of clarity. The most significant corrections occur in Sections 4.2, 4.3, 5.5, 30.3, 32.1, and 32.3. I have also updated the biblio-graphy to some extent. Thanks are due to a number of readers who took the trouble to point out errors, or obscurities; especially helpful were the detailed ments of Jose Antonio Vargas...
《凸优化(英文)》介绍了凸分析中的基本概念和对凸极小化问题的研究。《凸优化(英文)》选出了两卷书中的精华,删除了一些被认为是艰深晦涩以及和数值分析雷同的内容。书中各章有大量习题。目次:介绍:符号、基本结论;凸集;凸函数;次线性函数和支撑函数;有限凸函数的次微分;凸分析的共轭性。读者对象:数学专业的研究生及数学工作者。