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1、AnIntroductiontoMathematicalAnalysisforEconomicTheoryandEconometricsDeanCorbae,MaxStinchcombe,andJurajZemanDecember2002,ModifiedMay27,2003,March31,2004,June2008iiContents1Logic11.1Statements,Sets,Subsets,andImplication..............................11.2StatementsandTheir
2、TruthValues..................................21.2.aAnds/Ors/NotsasIntersections/Unions/Complements...................21.2.bImplies/EquivalenceasSubset/Equality...........................31.2.cTheEmptySetandVacuouslyTrueStatements.......................41.2.dIndicatorsa
3、ndAnds/Ors/Nots................................41.3Proofs,aFirstLook..........................................41.4LogicalQuantifiers..........................................71.5TaxonomyofProofs..........................................82SetTheory112.1SomeSimpleQuestion
4、s........................................112.2NotationandOtherBasics......................................122.3Products,Relations,Correspondences,andFunctions........................142.4EquivalenceRelations.........................................172.5OptimalChoicefor
5、FiniteSets....................................192.5.aTheBasics..........................................192.5.bRepresentingPreferences...................................202.5.cRevealedPreference.....................................212.6DirectandInverseImages,Compositio
6、ns..............................232.6.aDirectImages.........................................232.6.bInverseRelations.......................................232.6.cInjections,Surjections,andBijections............................242.6.dCompositionsofFunctions..............
7、....................252.7WeakandPartialOrders,Lattices...................................262.8MonotonicChangesinOptima:Supermodularity,andLattices...................282.8.aTheImplicitFunctionApproach...............................292.8.bTheSimpleSupermodularityApproach
8、...........................302.8.cMonotoneComparativeStatics................................312.8.dQuasi-Supermodular
