数学奥林匹克在中国

图书标准信息

• 作者 刘培杰 编
• 出版社 哈尔滨工业大学出版社
• 出版时间 2014-06
• 版次 1
• ISBN 9787560346854
• 定价 98.00元
• 装帧 精装
• 开本 16开
• 纸张 胶版纸
• 页数 396页
• 字数 547千字
• 正文语种 英语

【内容简介】

　　《数学奥林匹克在中国》介绍了从1986年至2013年的国际数学奥林匹克竞赛在中国的发展情况，并着重介绍了从1986年以来历届国际数学奥林匹克竞赛的试题及解答技巧，最后介绍了历届中国数学奥林匹克竞赛试题。
　　《数学奥林匹克在中国》适合准备参加高中数学奥林匹克竞赛的学生及辅导教师和广大数学爱好者参考阅读。

【目录】

Chapter1MathematicalOlympiadinChina
1.1InternationalMathematicalOlympiad(IMO)andChinaMathematicalContest-Writtenbeforethe31stIMO
1.1.1ABriefIntroductiontoIMO
1.1.2AHistoricReviewofChinaMathematicalContest
1.1.3ActivitiesofChinaintheIMOandthe31stIMO

Chapter2Olympiad'sMathematics
2.1TheApplicationofProjectiveGeometryMethodstoProblemProvinginGeometry
2.1.1AFewConceptsinProjectiveGeometry
2.1.2SomeExamples
2.13Exercises
2.2AConjectureConcerningSixPointsinaSquare
2.3Modulo-PeriodSequenceofNumbers
2.3.1BasicConcepts
2.3.2PureModulo-periodSequence
2.3.3ThePeriodicityofSumSequence
2.3.4TheRelationbetweenthePeriodandtheInitialTerms
2.4IterationofFractionalLinearFunctionandConsturctionofaClassofFunctionEquation
2.5RemarksInitiatingfromaPutnamMathematicsCompetitionProblem
2.5.1IntroductoryRemarks
2.5.2TheProofoftheProblem
2.5.3ReinforcingthePromble
2.5.4Application
2.5.5MutuallySupplementarySequencesandReversibleSequences
2.6TheWaysofFindingtheBestChoisePoint
2.6.1TheCongruentTransformationofFigures
2.6.2SimilarityTransformationofFigures
2.6.3PartialAdjustingMethod
2.6.4TheContourLineMethod
2.6.5AlgebraicMethod
2.6.6TrigonometricalMethod
2.6.7AnalyticMethod
2.6.8SolutionbyFermatPointTheorem
2.6.9TheAreaMethod
2.6.10PhysicalMethod
2.7TheFormulasandInequalitiesfortheVolumesofn-Simplex
2.8ThePolynomialofInverseRootandItsTransformation
2.8.1TheExtensionofanIMOProblem
2.8.2TheInverseRootPolynomial
2.8.3TrigonometricFormulaofRecurrenceType
2.8.4InverseRootPolynomialTransformation

Chapter3SuggestionsandAnswersofProblems
3.1RemarksonProposingProblemsforMathematicsCompetition
3.2AProblemofIMOandaUsefulPolynomial
3.2.1Introduction
3.2.2TheProofoftheProblem
3.2.3SomePropertiesofF(x)
3.2.4Fm(x)andSomeIMOProblems
3.2.5AnExistenceProblem
3.3PreliminaryApproachtoMethodsofProposingMathematicsCompetitionProblems
……

Chapter4CommentontheExamPaperofMathematicalOlympiadWinterCampinChina
Chapter5ClunaMathematicalOlympiadfromtheFirsttotheLastest