bridge to abstract math - mathematical proof and structures, 1st ed. - r. morash

bridge to abstract math - mathematical proof and structures, 1st ed. - r. morash

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时间:2018-07-28

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1、THERANDOMHBUSEIBIRKHAUSERMATHEMAT...,.,!----,-<:.71-.,..-...-.-...,...MATHEI-YTICSMATHEMATICALPROOFANDSTRUCTURESBRIDGETOABSTRACTMATHEMATICSMathematicalProofandStructuresTheRandomHouse/BirkhaoserMathematicsSeries:INVITATIONTOCOMPLEXANALYSISbyR.P.BoasBRIDGETOABSTRACTMATHEMATICS:MATHEMATICALPROOFA

2、NDSTRUCTURESbyRonaldP.MorashELEMENTARYNUMBERTHEORYbyCharlesVandenEyndenINTRODUCTIONTOABSTRACTALGEBRAbyElbertWalkerBRIDGETOABSTRACTMATHEMATICSMathematicalProofandStructuresRonaldEMorashUniversityofMichigan,DearbornTheRandomHouse/BirkhauserMathematicsSeriesRandomHouse,Inc.&NewYorkFirstEditionCopy

3、right@1987byRandomHouse,Inc.AllrightsreservedunderInternationalandPan-AmericanCopyrightConventions.Nopartofthisbookmaybereproducedinanyformorbyanymeans,electronicormechanical,includingphotocopying,withoutpermissioninwritingfromthepublisher.AllinquiriesshouldbeaddressedtoRandomHouse,Inc.,201East

4、50thStreet,NewYork,N.Y.10022.PublishedintheUnitedStatesbyRandomHouse,Inc.,andsimultaneouslyinCanadabyRandomHouseofCanadaLimited,Toronto.iLibraryofCongressCataloginginPublicationDataMorash,RonaldP.Bridgetoabstractmathematics.Includesindex.1.Logic,Symbolicandmathematical.2.Mathematics-1961-.I.Tit

5、le.QA9.M741987511.386-21931ISBN0-394-35429-XManufacturedintheUnitedStatesofAmericatomyfamilyPrefaceThistextisdirectedtowardthesophomorethroughseniorlevelsofuni-versitymathematics,withatilttowardtheformer.Itpresumesthatthestudenthascompletedatleastonesemester,andpreferablyafullyear,ofcalculus.Th

6、etextisaproductoffourteenyearsofexperience,onthepartoftheauthor,inteachinganot-too-commoncoursetostudentswithaverycommonneed.Thecourseistakenpredominantlybysophomoresandjuniorsfromvariousfieldsofconcentrationwhoexpecttoenrollinjunior-seniormathematicscoursesthatincludesignificantabstractcontent

7、.Itendeavorstoprovideapathway,orbridge,tothelevelofmathematicalsophisticationnormallydesiredbyinstructorsinsuchcourses,butgenerallynotprovidedbythestandardfreshman-sophomoreprogram.Towardthisend,thecourseplacesstrongemphasisonmath

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