In expositions of the elements of topology it is customary for homology to be given a fundamental role. Since Poincare, who laid the foundations of topology, homology theory has been regarded as the appropriate primary basis for an introduction to the methods of algebraic topology. From homotopy theory, on the other hand, only the fundamental group and covering-space theory hav...(展开全部)

《现代几何学方法和应用(第1卷 第2版)(英文版)》内容简介：Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) gradually...(展开全部)

In expositions of the elements of topology it is customary for homology to be given a fundamental role. Since Poincare, who laid the foundations of topology, homology theory has been regarded as the appropriate primary basis for an introduction to the methods of algebraic topology. From homotopy theory, on the other hand, only the fundamental group and covering-space theory hav...(展开全部)

现代几何学·方法与应用：第2卷 流形上的几何与拓扑（第5版），ISBN：9787040214925，作者：（俄罗斯）Б.А.杜布洛文、С.П.诺维可夫、А.Т.福明柯

现代几何学·方法与应用：第2卷 流形上的几何与拓扑（第5版），ISBN：9787040214925，作者：（俄罗斯）Б.А.杜布洛文、С.П.诺维可夫、А.Т.福明柯

从本书中学到物理大师做学问的方法。对称性是粒子物理的精髓，可以学到李先生如何从对称性原理出发，研究粒子物理的各种模型；如何利用量纲分析，数量级估计的方法来演绎物理定律和定理。从这本书中，还可以学到李先生是如何将理论物理和实验物理有机地结合起来。众所周知，李先生是实验与理论结合的典范，许多实验物理学家都愿意与李先生讨论他们在实验中遇到的问题，许多高能实验都是由李先生建议做的，包括美国布鲁克（Brookhaven）实验的大项目相对论重离子对撞机（RHIC）的建造等。这本书陈述的物理大多数都是在第二次世界大战时期发展起来的，李先生创建，或参与，或目睹了整个过程。因此，他对这些理论的解读和理解肯定有其独创之处，经过了他的思维而写下了教科书将是人类宝贵的财富。

从本书中学到物理大师做学问的方法。对称性是粒子物理的精髓，可以学到李先生如何从对称性原理出发，研究粒子物理的各种模型；如何利用量纲分析，数量级估计的方法来演绎物理定律和定理。从这本书中，还可以学到李先生是如何将理论物理和实验物理有机地结合起来。众所周知，李先生是实验与理论结合的典范，许多实验物理学家都愿意与李先生讨论他们在实验中遇到的问题，许多高能实验都是由李先生建议做的，包括美国布鲁克（Brookhaven）实验的大项目相对论重离子对撞机（RHIC）的建造等。这本书陈述的物理大多数都是在第二次世界大战时期发展起来的，李先生创建，或参与，或目睹了整个过程。因此，他对这些理论的解读和理解肯定有其独创之处，经过了他的思维而写下了教科书将是人类宝贵的财富。

Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anac...(展开全部)