身边的数学

出版说明

序

SETTHEORY:UsingMathematicstoClassifyObjects

1.1ProblemSolving

1.2Estimafion

1.3TheLanguageofSets

1.4ComparingSets

1.5SetOperafions

1.6SurveyProblems

ChapterSummary

ChapterTest

OfFurtherInterest:InfiniteSets

LOGIC:TheStudyofWhatsTrueorFalseorSomewhereinBetween

2.1InductiveandDeductiveReasoning

2.2Statements,Connectives,andQuantifiers

2.3ThumbTables

2.4TheConditionalandBiconditional

2.5VeilfyingArguments

2.6UsingEulerDiagramstoVerifySyllogisms

ChapterSummary

ChapterTest

OfFurtherInterest:FuzzyLogic

GRAPHTHEORY:TheMathematicsofRelationships

3.1Graphs,Puzzles,andMapColoring

3.2TheTravelingSalespersonProblem

3.3DirectedGraphs

ChapterSummary

ChapterTest

OfFurtherInterest:SchedulingProjectsUsingPERT

NUMERATIONSYSTEMS:DoesItMatterHowWeNameNumbers?

4.1TheEvolutionofNumerationSystems

4.2PlaceVolumeSystems

4.3CalculatinginOtherBases

ChapterSummary

ChapterTest

OfFurtherInterest:ModularSystems

NUMBERTHEORYANDTHEREALNUMBERSYSTEM:UnderstandingtheNumbersAllAroundUs

5.1NumberTheory

5.2TheIntegers

5.3TheRationalNumbers

5.4TheRealNumberSystem

5.5ExponentsandScientificNotation

ChapterSummary

ChapterTest

OfFurtherInterest:Sequences

ALGEBRAICMODELS:HowDoWeApproximateReality?

6.1LinearEquations

6.2ModelingwithLinearEquations

6.3ModelingwithQuadraticEquations

6.4ExponentialEquationsandGrowth

6.5ProportionsandVariation

ChapterSummary

ChapterTest

OfFurtherInterest:DynamicalSystems

MODELINGWITHSYSTEMSOFLINEAREQUATIONSANDINEQUALITIES:WhatstheBestWaytoDoIt?

7.1SystemsofLinearEquations

7.2SystemsofLinearInequalities

ChapterSummary

ChapterTest

OfFurtherInterest:LinearProgramming

GEOMETRY:AncientandModernMathematicsEmbrace

8.1Lines,Angles,andCircles

8.2Polygons

8.3PerimeterandArea

8.4VolumeandSurfaceArea

8.5TheMetricSystemandDimensionalAnalysis

8.6GeometricSymmetryandTessellations

ChapterSummary

ChapterTest

OfFurtherInterest:Fractals

APPORTIONMENTHowDoWeMeasureFairness?

9.1UnderstandingApportionment

9.2TheHuntingtonHillApportionmentPrinciple

9.3ApplicationsoftheApportionmentPrinciple

9.4OtherParadoxesandApportionmentMethods

ChapterSummary

ChapterTest

OfFurtherInterest:FairDivision

VOTING:UsingMathematicstoMakeChoices

10.1VotingMethods

10.2DefectsinVotingMethods

10.3WeightedVotingSystems

ChapterSummary

ChapterTest

OfFurtherInterest:TheShapley-ShubikIndex

CONSUMERMATHEMATICS:TheMathematicsofEverydayLife

11.1Percent

11.2Interest

11.3ConsumerLoans

11.4Annuities

11.5Amortization

ChapterSummary

ChapterTest

OfFurtherInterest:TheAnnualPercentageRate

COUNTING:JustHowManyAreThere?

12.1IntroductiontoCountingMethods

12.2TheFundamentalCountingPrinciple

12.3PermutationsandCombinations

ChapterSummary

ChapterTest

OfFurtherInterest:CountingandGambling

PROBABILITY:WhatAretheChances?

13.1TheBasicsofProbabilityTheory

13.2ComplementsandUnionsofEvents

13.3ConditionalProbabilityandIntersectionsofEvents

13.4ExpectedValue

ChapterSummary

ChapterTest

OfFurtherInterest:BinomialExperiments

DESCRIPTIVESTATISTICS:WhataDataSetTellsUs

14.1OrganizingandVisualizingData

14.2MeasuresofCentralTendency

14.3MeasuresofDispersion

14.4TheNormalDistfibution

ChapterSummary

ChapterTest

OfFurtherInterest:LinearCorrelation

教辅材料申请表

　　由ThomasL.Pirnot编著的MathematicsAllAround一书是为从事社会科学、教育学、商业、艺术和其他非理工类专业的学生而写的教学教科书。本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。全书贯穿着强烈的应用意识，使数学理论紧密联系政治、经济、体育、艺术、医学、生物、科技、环境等方面的实际问题，这在国内外数学教科书中是不多见的。本书还从教育学的角度对叙述方式和版面作了精心安排，使得所有概念和理论都由浅入深，因此本书在阅读时易读好懂。　　本书是为从事社会科学、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。全书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。