《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)

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)

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)

本书是莫斯科大学数学力学系经典教材《现代几何学——方法和应用》三卷本的第２卷。全书力求以直观的和物理的视角阐述，是一本难得的现代几何方面的佳作。整套书内容包括张量分析、曲线和曲面几何、一维和高维变分法（第１卷），微分流形的拓扑和几何（第２卷），以及同调与上同调理论（第３卷）。本书可用作数学和理论物理专业高年级和研究生的教学用书，对从事几何和拓扑研究的工作者也极具参考价值。 ★编辑推荐： 《现代几何学——方法和应用》是莫斯科大学数学力学系对几何课程现代化改革的成果，作者之一的诺维科夫是1970年菲尔兹奖和2005年沃尔夫奖得主。

本书是莫斯科大学数学力学系经典教材《现代几何学——方法和应用》三卷本的第３卷。全书力求以直观的和物理的视角阐述，是一本难得的现代几何方面的佳作。整套书内容包括张量分析、曲线和曲面几何、一维和高维变分法（第１卷），微分流形的拓扑和几何（第２卷），以及同调与上同调理论（第３卷）。本书可用作数学和理论物理专业高年级和研究生的教学用书，对从事几何和拓扑研究的工作者也极具参考价值。 ★编辑推荐： 《现代几何学——方法和应用》是莫斯科大学数学力学系对几何课程现代化改革的成果，作者之一的诺维科夫是1970年菲尔兹奖和2005年沃尔夫奖得主。

本书是莫斯科大学数学力学系经典教材《现代几何学——方法和应用》三卷本的第２卷。全书力求以直观的和物理的视角阐述，是一本难得的现代几何方面的佳作。整套书内容包括张量分析、曲线和曲面几何、一维和高维变分法（第１卷），微分流形的拓扑和几何（第２卷），以及同调与上同调理论（第３卷）。本书可用作数学和理论物理专业高年级和研究生的教学用书，对从事几何和拓扑研究的工作者也极具参考价值。 ★编辑推荐： 《现代几何学——方法和应用》是莫斯科大学数学力学系对几何课程现代化改革的成果，作者之一的诺维科夫是1970年菲尔兹奖和2005年沃尔夫奖得主。

本书是莫斯科大学数学力学系经典教材《现代几何学——方法和应用》三卷本的第３卷。全书力求以直观的和物理的视角阐述，是一本难得的现代几何方面的佳作。整套书内容包括张量分析、曲线和曲面几何、一维和高维变分法（第１卷），微分流形的拓扑和几何（第２卷），以及同调与上同调理论（第３卷）。本书可用作数学和理论物理专业高年级和研究生的教学用书，对从事几何和拓扑研究的工作者也极具参考价值。 ★编辑推荐： 《现代几何学——方法和应用》是莫斯科大学数学力学系对几何课程现代化改革的成果，作者之一的诺维科夫是1970年菲尔兹奖和2005年沃尔夫奖得主。