A Course of Differential Geometry and Topology, by A. Mishchenko and A. Fomenko. 一本优秀的、有点高级的、范围广泛的介绍,包括黎曼几何和同调理论。它的特点是有大量出色的插图,具有 Fomenko 的明确无误的漫画风格。 Differential Geometry: Connections, Curvature, and Characteristic Classes, by Loring W. ...
预订 微分几何和拓扑 Differential Geometry and Topology [ISBN:9780306109959] 【全球购】进口原版图书,约3-6周到达国内后发出 作者:Fomenko,A. T.出版社:Springer US出版时间:2021年01月 手机专享价 ¥ 当当价 降价通知 ¥2132 配送至 上海 至 北京市东城区 服务 由“书之源外文图书”发货,并提供售后...
The work contains new results in computer geometry, Hamiltonian mechanics and simplectic topology. Topological classification of integrable Hamiltonian dynamical systems with two degrees of freedom. Visualization of the evolution of the solutions for integrable systems. Computer experiments, real physical ...
Modern Geometry - Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields manifolds, transformation groups, and Lie algebras, as well as the basic concepts of visual topology. It was also agreed that the course should be given in... BA Dubrovin,AT Fomenko...
AT Fomenko - 《Graduate Texts in Mathematics》 被引量: 388发表: 1985年 DIFFERENTIAL GEOMETRY: MANIFOLDS, CURVES AND SURFACES (Graduate Texts in Mathematics 115) Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory...
Finally, the role of topology in mathematical analysis, geometry, mechanics and differential equations is illustrated. Introduction to Topology contains many attractive illustrations drawn by A. T. Frenko, which, while forming an integral part of the book, also reflect the visual and philosophical ...
onthegeometryofthesetsforwhichtheSteinerratioattainsitsminimum,thatis, thesetsonwhichtheSteinerratiooftheboundarysetisequaltotheSteinerratio oftheambientspace. Bibliography:16titles. §1.Introduction Thepresentpaperisdevotedtothestudyofdifferentialpropertiesandcritical pointsoffunctionsdefinedbyextremaltrees...
The geometry of Hamiltonian systems - Fomenko - 1989 () Citation Context ...NVARIANT In fact, the above construction first appeared in the study of the topology of three-dimensinal isoenergy surfaces of integrable Hamiltonian systems with two degrees of freedom (A.T. Fomenko =-=[15, 17]-...
doi:10.1016/B978-0-444-88958-4.50009-4FOMENKOA.TMechanics Analysis & Geometry Years after Lagrange
Let us turn to the subject matter of geometry. Our first acquaintance with geometry goes back to school years. School geometry (the geometry of the ancient Greeks) studies the various metrical properties of the simplest geometric figures, that is, basically finds relationships between lengths and ...