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多面形理论（英文版）
正版二手书籍，8成新左右
￥ 16 2.5折 ￥ 64 八五品
库存3件
重庆沙坪坝
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作者Yanpei Liu 著
出版社科学出版社
出版时间2008-01
版次1
装帧精装
货号9787030208880
上书时间2024-08-27
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图书标准信息
- 作者 Yanpei Liu 著
- 出版社 科学出版社
- 出版时间 2008-01
- 版次 1
- ISBN 9787030208880
- 定价 64.00元
- 装帧 精装
- 开本 16开
- 纸张 胶版纸
- 页数 335页
- 正文语种 英语
- 【内容简介】
-
Thismonographisforaunifiedtheoryofsurfaces，embeddingsandmapsallconsideredaspolyhedraviathejointtreemodalwhichwasinitiatedfromtheauthorsarticlesintheseventiesoflastcenturyandhasbeenbasicallydevelopedinrecentdecades.Completeinvariantsforeachclassificationaretopologically，combinatoriallyorisomorphicallyextracted.Anumberofcountingpolynomialsincludinghandleandcrosscappolynomialsarepresented.Inparticular，anappendixservesastheexhaustivecountingsupermaps（rootedandnonrooted）includingthesepolynomialswithundergraphsofsmallsizeforthereadersdigests.
Althoughthebookismainlyforresearchersinmathematics，theoreticalphysics，chemistry，biologyandsomeothersrelated，thebasicpartineachchaptercanalsobechosenforgraduatesandcollegeteachersasreferences. - 【目录】
-
Preface
ChapterⅠPreliminaries
Ⅰ.1Setsandmappings
Ⅰ.2Partitionsandpermutations
Ⅰ.3Groupactions
Ⅰ.4Networks
Ⅰ.5Notes
ChapterⅡSurfaces
Ⅱ.1Polyhedra
Ⅱ.2ElementaryequⅣalence
Ⅱ.3Polyhegons
Ⅱ.4Orientability
Ⅱ.5Classification
Ⅱ.6Notes
ChapterⅢEmbeddingsofGraphs
Ⅲ.1Geometricconsideration
Ⅲ.2Surfaceclosedcurveaxiom
Ⅲ.3Distinction
Ⅲ.4Jointtreemodel
Ⅲ.5Combinatorialproperties
Ⅲ.6Notes
ChapterⅣMathematicalMaps
Ⅳ.1Basicpermutations
Ⅳ.2Conjugateaxiom
Ⅳ.3TransitⅣity
Ⅳ.4Includedangles
Ⅳ.5Notes
ChapterⅤDualityonSurfaces
Ⅴ.1Dualpartitionofedges
Ⅴ.5Notes
ChapterⅥInvariantsonBasicClass
Ⅵ.1Orientability
Ⅵ.2Eulercharacteristic
Ⅵ.3BasicequⅣalence
Ⅵ.4Orientablemaps
Ⅵ.5Nonorientablemaps
Ⅵ.6Notes
ChapterⅦAsymmetrization
Ⅶ.1Isomorphisms
Ⅶ.2Recognition
Ⅶ.3Upperboundofgrouporder
Ⅶ.4Determinationofthegroup
Ⅶ.5Rootings
Ⅶ.6Notes
ChapterⅧAsymmetrizedCensus
Ⅷ.1Orientableequation
Ⅷ.2Planarmaps...
Ⅷ.3Nonorientableequation
Ⅷ.4Grossequation
Ⅷ.5Thenumberofmaps
Ⅷ.6Notes
ChapterⅨPetalBundles
Ⅸ.1Orientablepetalbundles
Ⅸ.2Planarpedalbundles
Ⅸ.3Nonorientablepedalbundles
Ⅸ.4Thenumberofpedalbundles
Ⅸ.5Notes
ChapterⅩSuperMapsofGenusZero
ChapterⅪSymmetricCensus
ChapterⅫCycleOrientedMaps
ChapterⅫⅠCensusbyGenus
ChapterⅩⅣClassicApplications
AppendixⅠEmbeddingsandmapsofSmallSizeDistributedbyGenus
AppendixⅡOrientableFormsofSurfacesandTheirNonorientableGenusPolynomials
Bibliography
SubjectIndex
AuthorIndex
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