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Titlebook: Algorithmic and Computer Methods for Three-Manifolds; A. T. Fomenko,S. V. Matveev Book 1997 Springer Science+Business Media Dordrecht 1997

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期刊全称Algorithmic and Computer Methods for Three-Manifolds
影响因子2023A. T. Fomenko,S. V. Matveev
视频video
学科分类Mathematics and Its Applications
图书封面Titlebook: Algorithmic and Computer Methods for Three-Manifolds;  A. T. Fomenko,S. V. Matveev Book 1997 Springer Science+Business Media Dordrecht 1997
影响因子One service mathematics has rendered the human race. It has put common sense back where it belongs. It has put common sense back where it belongs, on the topmost shelf next to the dusty canister labelled discarded nonsense. Eric TBell Every picture tells a story. Advenisement for for Sloan‘s backache and kidney oils, 1907 The book you have in your hands as you are reading this, is a text on3-dimensional topology. It can serve as a pretty comprehensive text book on the subject. On the other hand, it frequently gets to the frontiers of current research in the topic. If pressed, I would initially classify it as a monograph, but, thanks to the over three hundred illustrations of the geometrical ideas involved, as a rather accessible one, and hence suitable for advanced classes. The style is somewhat informal; more or less like orally presented lectures, and the illustrations more than make up for all the visual aids and handwaving one has at one‘s command during an actual presentation.
Pindex Book 1997
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Surfaces,c to each of them along their boundaries yields a closed surface. Conversely, any compact surface with boundary is obtained from a closed surface by the removal of several open discs—wherever these discs are located or whatever their shape, only their number is of importance. At the present stage we
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Algorithmic Recognition of the Sphere,sums of tori and connected sums of projective planes. The classification problem for three-dimensional manifolds has not yet been solved up to now. This is one of the most important and complicated problems in the topology of manifolds. There is, however, rather substantial progress in this field. S
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Surgery along Links,ere by regluing a regular neighbourhood of a certain link, i.e. by removing such a neighbourhood and gluing it back again through a homeomorphism of two-dimensional tori on the boundaries. To precisize the formulation of this result, we consider for simplicity the case of one-component links, i.e. k
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