《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

《经典力学与天体力学中的数学问题(第三版)》与以前的版本相比有明显的扩大。作者在经典力学的变分原理和方法以及动力学方程的张量不变量上增加了2个章节。此外，各种其他部分进行了修订，增加或扩大。这本书的主要目的是使读者了解经典力学的整体，在古典与现代两个方面，这本书涉及所有的数学家、物理学家和工程师。

本书是一本方便查阅和携带的口袋书，收录了焊接技术核心词汇及相关词汇约20000条，基本涵盖了阅读专业资料及口语交流所需要的焊接专业术语和词汇，能够满足广大焊接工程技术人员、学生、管理人员、贸易及翻译人员的日常工作需要。本收分英汉和汉英两部分。

《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。

《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.

《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。

《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. ...

《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。

《分析(第3卷)(英文)》主要讲述了，This third volume concludes our introduction to analysis, where in we finish laying the groundwork needed for further study of the subject.As with the first two, this volume contains more material than can treated in a single course. It is therefore important in preparing lectures to choose a suitable subset of its content; the remainder can be treated in seminars or left to independent study. For a quick overview of this content, consult the table of contents and the chapter introductions.