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Algorithmic and Computer Methods for Three-Manifolds / by A.T. Fomenko, S.V. Matveev
(Mathematics and Its Applications ; 425)
版 | 1st ed. 1997. |
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出版者 | Dordrecht : Springer Netherlands : Imprint: Springer |
出版年 | 1997 |
本文言語 | 英語 |
大きさ | XII, 337 p : online resource |
著者標目 | *Fomenko, A.T author Matveev, S.V author SpringerLink (Online service) |
件 名 | LCSH:Geometry LCSH:Topology LCSH:Numerical analysis LCSH:Mathematical models FREE:Geometry FREE:Topology FREE:Numerical Analysis FREE:Mathematical Modeling and Industrial Mathematics |
一般注記 | 1. Preliminary information -- 2. Surfaces -- 3. The homeotopy group of a surface -- 4. The presentation of three-dimensional manifolds by the identification of faces of polyhedra -- 5. Heegaard splittings and Heegaard Diagrams -- 6. Algorithmic recognition of the sphere -- 7. Connected sums -- 8. Knots and links -- 9. Surgery Along Links -- 10. Seifert Manifolds -- 11. Class ? -- 12. The Haken Method -- Comments on the Figures -- References 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 HTTP:URL=https://doi.org/10.1007/978-94-017-0699-5 |
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Springer eBooks | 9789401706995 |
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EB00230020 |
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