身边的数学

图书标准信息

• 作者 皮纳德 著
• 出版社 机械工业出版社
• 出版时间 2009-03
• 版次 2
• ISBN 9787111264910
• 定价 84.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 847页
• 字数 1354千字
• 正文语种 简体中文

【内容简介】

《时代教育·国外高校优秀教材精选：身边的数学（英文版）（原书第2版）》是为从事社会科学、教育学、商业、艺术和其他非理工类专业的学生而写的数学教科书，可以使从事这些专业的学生理解并欣赏到数学在各个领域的许多精彩应用。内容包括集合论、数理逻辑、图论、数论、统计、概率、代数、几何等。《时代教育·国外高校优秀教材精选：身边的数学（英文版）（原书第2版）》以数学的应用作为动机，每一章的开始提出实际问题，然后发展必要的数学工具，再解决这些实际问题，在应用中进一步加强对数学的理解。全书贯穿着强烈的应用意识，这在国内外数学教科书中是不多见的。

【目录】

出版说明

序

1SETTHEORY:UsingMathematicstoClassifyObjects

1.1ProblemSolving

1.2Estimation

1.3TheLanguageofSets

1.4ComparingSets

1.5SetOperations

1.6SurveyProblems

ChapterSummary

ChapterTest

OfFurtherInterest:InfiniteSets

2LOGIC:TheStudyofWhatsTrueorFalseorSomewhereinBetween

2.1InductiveandDeductiveReasoning

2.2Statements,Connectives,andQuantifiers

2.3TruthTables

2.4TheConditionalandBiconditional

2.5VerifyingArguments

2.6UsingEulerDiagramstoVerifySyllogisms

ChapterSummary

ChapterTest

OfFurtherInterest:FuzzyLogic

3GRAPHTHEORY:TheMathematicsofRelationships

3.1Graphs,Puzzles,andMapColoring

3.2TheTravelingSalespersonProblem

3.3DirectedGraphs

ChapterSummary

ChapterTest

OfFurtherInterest:SchedulingProjectsUsingPERT

4NUMERATIONSYSTEMS:DoesitMatterHowWeNameNumbers?

4.1TheEvolutionofNumerationSystems

4.2PlaceValueSystems

4.3CalculatinginOtherBases

ChapterSummary

ChapterTest

OfFurtherInterest:ModularSystems

5NUMBERTHEORYANDTHEREALNUMBERSYSTEM:UnderstandingtheNumbersAllAroundUs

5.1NumberTheory

5.2TheIntegers

5.3TheRationalNumbers

5.4TheRealNumberSystem

5.5ExponentsandScientificNotation

ChapterSummary

ChapterTest

OfFurtherInterest:Sequences

6ALGEBRAICMODELS:HowDoWeApproximateReality?

6.1LinearEquations

6.2ModelingwithLinearEquations

6.3ModelingwithQuadraticEquations

6.4ExponentialEquationsandGrowth

6.5ProportionsandVariation

ChapterSummary

ChapterTest

OfFurtherInterest:DynamicalSystems

7MODELINGWITHSYSTEMSOFLINEAREQUATIONSANDINEQUALITIES:WhatstheBestWaytoDoIt?

7.1SystemsofLinearEquations

7.2SystemsofLinearInequalities

ChapterSummary

ChapterTest

OfFurtherInterest:LinearProgramming

8GEOMETRY:AncientandModernMathematicsEmbrace

8.1Lines,Angles,andCircles

8.2Polygons

8.3PerimeterandArea

8.4VolumeandSurfaceArea

8.5TheMetricSystemandDimensionalAnalysis

8.6GeometricSymmetryandTessellations

ChapterSummary

ChapterTest

OfFurtherInterest:Fractals

9APPORTIONMENT:HowDoWeMeasureFairness?

9.1UnderstandingApportionment

9.2TheHuntington-HillApportionmentPrinciple

9.3ApplicationsoftheApportionmentPrinciple

9.4OtherParadoxesandApportionmentMethods

ChapterSummary

ChapterTest

OfFurtherInterest:FairDivision

10VOTING:UsingMathematicstoMakeChoices

10.1VotingMethods

10.2DefectsinVotingMethods

10.3WeightedVotingSystems

ChapterSummary

ChapterTest

OfFurtherInterest:TheShapley-ShubikIndex

11CONSUMERMATHEMATICS:TheMathematicsofEverydayLife

11.1Percent

11.2Interest

11.3ConsumerLoans

11.4Annuities

11.5Amortization

ChapterSummary

ChapterTest

OfFurtherInterest:TheAnnualPercentageRate

12COUNTING:JustHowManyAreThere?

12.1IntroductiontoCountingMethods

12.2TheFundamentalCountingPrinciple

12.3PermutationsandCombinations

ChapterSummary

ChapterTest

OfFurtherInterest:CountingandGambling

13PROBABILITY:WhatAretheChances?

13.1TheBasicsofProbabilityTheory

13.2ComplementsandUnionsofEvents

13.3ConditionalProbabilityandIntersectionsofEvents

13.4ExpectedValue

ChapterSummary

ChapterTest

OfFurtherInterest:BinomialExperiments

14DESCRIPTIVESTATISTICS:WhataDataSetTellsUs

14.1OrganizingandVisualizingData

14.2MeasuresofCentralTendency

14.3MeasuresofDispersion

14.4TheNormalDistribution

ChapterSummary

ChapterTest

OfFurtherInterest:LinearCorrelation