椭圆曲线(第2版)
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九五品
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作者胡斯迈勒 著
出版社世界图书出版公司
出版时间2011-04
版次2
装帧平装
上书时间2024-12-26
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图书标准信息
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作者
胡斯迈勒 著
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出版社
世界图书出版公司
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出版时间
2011-04
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版次
2
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ISBN
9787510033032
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定价
65.00元
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装帧
平装
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开本
24开
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纸张
胶版纸
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页数
487页
- 【内容简介】
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Dividesnaturallyintoseveralpartsaccordingtothelevelofthematerial,thebackgroundrequiredofthereader,andthestyleofpresentationwithrespecttodetailsofproofs.Forexample,thefirstpart,toChapter6,isundergraduateinlevel,thesecondpartrequiresabackgroundinGaloistheoryandthethirdsomecomplexanalysis,whilethelastparts,fromChapter12on,aremostlyatgraduatelevel.
- 【目录】
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PrefacetotheSecondEdition
PrefacetotheFirstEdition
AcknowledgmentstotheSecondEdition
AcknowledgmentstotheFirstEdition
IntroductiontoRationalPointsonPlaneCurves
1RationalLinesintheProjectivePlane
2RationalPointsonConics
3Pythagoras,Diophantus,andFermat
4RationalCubicsandMordeli'sTheorem
5TheGroupLawonCubicCurvesandEllipticCurves
6RationalPointsonRationalCurves.FaltingsandtheMordellConjecture
7RealandComplexPointsonEUipticCurves
8TheEllipticCu~e.GroupLawontheIntersectionofTwoQuadricsin
Projective.ThreeSpace
1ElementaryPropertiesoftheChord-TangentGroupLawonaCubicCurve
2PlaneAlgebraicCurves
3EllipticCurvesandTheirIsomorphisms
4FamiliesofEllipticCurvesandGeometricPropertiesofTorsionPoints
5ReductionmodpandTorsionPoints
6ProofofMordell'sFiniteGenerationTheorem.
7GaloisCohomologyandIsomorphismClassificationofEllipticCurvesoverArbitraryFields
8DescentandGaloisCohomology
9EllipticandHypergeometricFunctions
10ThetaFunctions
11ModularFunctions.
12EndomorphismsofEllipticCurves
13EllipticCurvesoverFiniteFields
14EllipticCurvesoverLocalFields
15EllipticCurvesoverGlobalFieldsande-AdicRepresentations
16L.Functionofan,EllipticCurveandItsAnalyticContinuation
17RemarksontheBirchandSwinnerton-DyerConjecture
18RemarksontheModularEllipticCurvesConjectureandFermat'sLastTheorem
19HigherDimensionalAnalogsofEllipticCurves:Calabi-YauVarieties
20FamiliesofEllipticCurves
Appendix
References
ListofNotation
Index
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