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经济数学和金融数学

经济数学和金融数学
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作者: 著
出版社: 世界图书出版公司
2004-09
版次: 1
ISBN: 9787506239233
定价: 65.00
装帧: 平装
开本: 24开
纸张: 胶版纸
页数: 394页
分类: 自然科学
42人买过
  • Thisbookisanintroductiontocalculusandlinearalgebraforstudentsofdisciplinessuchaseconomics,finance,business,management,andaccounting.Itisintendedforreaderswhomayhavealreadyencounteredsomedifferentialcalculus,anditwillalsobeappropriateforthosewithlessexperience,possiblyusedinconjunctionwithoneofthemanymoreelementarytextsonbasicmathematics. 1.Mathematicalmodelsineconomics
    1.1Introduction
    1.2Amodelofthemarket
    1.3Marketequilibrium
    1.4Excisetax
    1.5Comments
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    2.Mathematicaltermsandnotations
    2.1Sets
    2.2Functions
    2.3Compositefunctions
    2.4Graphsandequations
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    3.Sequences,recurrences,limits
    3.1Sequences
    3.2Thefirst-orderrecurrence
    3.3Limits
    3.4Specialcases
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    4.Theelementsoffinance
    4.1Interestandcapitalgrowth
    4.2Incomegeneration
    4.3Theintervalofcompounding
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    5.Thecobwebmodel
    5.1Howstableismarketequilibrium
    5.2Anexample
    5.3Thegenerallinearcase
    5.4Economicinterpretation
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    6.Introductiontocalculus
    6.1Therateofchangeofafunction
    6.2Rulesforfindingthederivative
    6.3Marginalcostasaderivative
    6.4Thederivativeofacompositefunction
    6.5Thederivativeofaninversefunction
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    7.Somespecialfunctions
    7.1Powers
    7.2Theexponentialfunctionanditsproperties
    7.3Continuouscompoundingofinterest
    7.4Thelogarithmfunction
    7.5Trigonometricalfunctions
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    8.Introductiontooptimisation
    8.1Profitmaximisation
    8.2Criticalpoints
    8.3Optimisationinaninterval
    8.4Infiniteintervals
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    9.Thederivativeineconomics--I
    9.1Elasticityofdemand
    9.2Profitmaximisationagain
    9.3Competitionversusmonopoly
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    10.Thederivativeineconomics--II
    10.1Theefficientsmallfirm
    10.2Startupandbreakevenpoints
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    11.Partialderivatives
    11.1Functionsofseveralvariables
    11.2Partialderivatives
    11.3Thechainrule
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    12.Applicationsofpartialderivatives
    12.1Functionsdefinedimplicitly
    12.2Thederivativeofanimplicitfunction
    12.3Contoursandisoquants
    12.4Scaleeffectsandhomogeneousfunctions
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    13.Optimisationintwovariables
    13.1Profitmaximisationagain
    13.2Howpricesarerelatedtoquantities
    13.3Criticalpoints
    13.4Maxima,minima,andsaddlepoints
    13.5Classificationofcriticalpoints-introduction
    13.6Theclassificationofcriticalpointsingeneral
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    14.Vectors,preferencesandconvexity
    14.1Vectorsandbundles
    14.2Pricesandbudgets
    14.3Preferences,utility,andindifferencecurves
    14.4Linearandconvexcombinations
    14.5Choosingoptimalbundles
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    15.Matrixalgebra
    15.1Whatisamatrix
    ……
    16.Linearequations--I
    17.Linearequations--II
    18.Inversematrices
    19.Theinput-outputmodel
    20.Determinants
    21.Constrainedoptimisation
    22.Lagrangeansandtheconsumer
    23.Second-orderrecurrenceequations
    24.Macroeconomicapplications
    25.Areasandintegrals
    26.Techniquesofintegration
    27.First-orderdifferentialequations
    28.Second-orderdifferentialequations
    Solutionstoselectedexercises
    Index
  • 内容简介:
    Thisbookisanintroductiontocalculusandlinearalgebraforstudentsofdisciplinessuchaseconomics,finance,business,management,andaccounting.Itisintendedforreaderswhomayhavealreadyencounteredsomedifferentialcalculus,anditwillalsobeappropriateforthosewithlessexperience,possiblyusedinconjunctionwithoneofthemanymoreelementarytextsonbasicmathematics.
  • 目录:
    1.Mathematicalmodelsineconomics
    1.1Introduction
    1.2Amodelofthemarket
    1.3Marketequilibrium
    1.4Excisetax
    1.5Comments
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    2.Mathematicaltermsandnotations
    2.1Sets
    2.2Functions
    2.3Compositefunctions
    2.4Graphsandequations
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    3.Sequences,recurrences,limits
    3.1Sequences
    3.2Thefirst-orderrecurrence
    3.3Limits
    3.4Specialcases
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    4.Theelementsoffinance
    4.1Interestandcapitalgrowth
    4.2Incomegeneration
    4.3Theintervalofcompounding
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    5.Thecobwebmodel
    5.1Howstableismarketequilibrium
    5.2Anexample
    5.3Thegenerallinearcase
    5.4Economicinterpretation
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    6.Introductiontocalculus
    6.1Therateofchangeofafunction
    6.2Rulesforfindingthederivative
    6.3Marginalcostasaderivative
    6.4Thederivativeofacompositefunction
    6.5Thederivativeofaninversefunction
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    7.Somespecialfunctions
    7.1Powers
    7.2Theexponentialfunctionanditsproperties
    7.3Continuouscompoundingofinterest
    7.4Thelogarithmfunction
    7.5Trigonometricalfunctions
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    8.Introductiontooptimisation
    8.1Profitmaximisation
    8.2Criticalpoints
    8.3Optimisationinaninterval
    8.4Infiniteintervals
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    9.Thederivativeineconomics--I
    9.1Elasticityofdemand
    9.2Profitmaximisationagain
    9.3Competitionversusmonopoly
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    10.Thederivativeineconomics--II
    10.1Theefficientsmallfirm
    10.2Startupandbreakevenpoints
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    11.Partialderivatives
    11.1Functionsofseveralvariables
    11.2Partialderivatives
    11.3Thechainrule
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    12.Applicationsofpartialderivatives
    12.1Functionsdefinedimplicitly
    12.2Thederivativeofanimplicitfunction
    12.3Contoursandisoquants
    12.4Scaleeffectsandhomogeneousfunctions
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    13.Optimisationintwovariables
    13.1Profitmaximisationagain
    13.2Howpricesarerelatedtoquantities
    13.3Criticalpoints
    13.4Maxima,minima,andsaddlepoints
    13.5Classificationofcriticalpoints-introduction
    13.6Theclassificationofcriticalpointsingeneral
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    14.Vectors,preferencesandconvexity
    14.1Vectorsandbundles
    14.2Pricesandbudgets
    14.3Preferences,utility,andindifferencecurves
    14.4Linearandconvexcombinations
    14.5Choosingoptimalbundles
    Workedexamples
    Maintopics/Keyterms,notationsandformulae
    Exercises

    15.Matrixalgebra
    15.1Whatisamatrix
    ……
    16.Linearequations--I
    17.Linearequations--II
    18.Inversematrices
    19.Theinput-outputmodel
    20.Determinants
    21.Constrainedoptimisation
    22.Lagrangeansandtheconsumer
    23.Second-orderrecurrenceequations
    24.Macroeconomicapplications
    25.Areasandintegrals
    26.Techniquesofintegration
    27.First-orderdifferentialequations
    28.Second-orderdifferentialequations
    Solutionstoselectedexercises
    Index
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