• 椭圆曲线(第2版)
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椭圆曲线(第2版)

40 6.2折 65 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
  • 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
  • ISBN 9787510033032
  • 定价 65.00元
  • 装帧 平装
  • 开本 24开
  • 纸张 胶版纸
  • 页数 487页
【内容简介】
Dividesnaturallyintoseveralpartsaccordingtothelevelofthematerial,thebackgroundrequiredofthereader,andthestyleofpresentationwithrespecttodetailsofproofs.Forexample,thefirstpart,toChapter6,isundergraduateinlevel,thesecondpartrequiresabackgroundinGaloistheoryandthethirdsomecomplexanalysis,whilethelastparts,fromChapter12on,aremostlyatgraduatelevel.
【目录】
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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