《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.
《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.
《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.
《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.
《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.
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。
《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.
《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...
《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.
《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。