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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: M.AnthonyN.Giggs 著

出版社: 世界图书出版公司

出版时间: 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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