出版時(shí)間:2012-5 出版社:哈爾濱工業(yè)大學(xué)出版社 作者:W.S.Andrew 頁(yè)數(shù):525 字?jǐn)?shù):375000 譯者:劉培杰數(shù)學(xué)工作室 注解
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內(nèi)容概要
本書(shū)列舉諸多幻方和魔方的例子,研究幻方和魔方所具備的特性及構(gòu)筑方法,生動(dòng)地展示幻方和魔方的神奇之處。主要包括幻方的數(shù)學(xué)研究,六階幻方,幻方類(lèi)型,構(gòu)造方法,幻圓等十五章內(nèi)容。本書(shū)適合在校學(xué)生的學(xué)習(xí)研究,以及幻方和魔方愛(ài)好者作為興趣讀物。
書(shū)籍目錄
CHAPTERⅠ.MAGICSQUARES
THEESSENTIALCHARACTERISTICSOFMAGICSQUARES
ASSOCIATEDORREGULARMAGICSQUARESOFODDNUMBERS
ASSOCIATEDORREGULARMAGICSQUARESOFEVENNUMBERS
THECONSTRUCTIONOFEVENMAGICSQUARESBYDELAHIRE'SMETHOD
COMPOSITEMAGICSQUARES
CONCENTRICMAGICSQUARES
GENERALNOTESONTIIECONSTRUCTIONOFMAGICSQUARES
CHAFFERⅡ.MAGICCUBES
THEESSENTIALCHARACTERISTICSOFMAGICCUBES
ASSOCIATEDORREGULARMAGICCUBESOFODDNUMBERS
ASSOCIATEDORREGULARMAGICCUBESOFEVENNUMBERS
GENERALNOTESONMAGICCUBES
CHAFFERⅢ.THEFRANKLINSQUARES
ANANALYSISOFTHEFRANKLINSQUARES
CHAPIERⅣ.REFLECTIONSONMAGICSQUARES
THEORDEROFFIGURES
MAGICSQUARESINSYMBOLS
THEMAGICSQUAREINCHINA
THEJAINASQUARE
CHAPTERⅤ.AMATHEMATICALSTUDYOFMAGICSQUARES
ANEWANALYSIS
NOTESONNUMBERSERIESUSEDINTHECONSTRUCTIONOFMAGICSQUARES
CHAPTERⅥ.MAGICSANDPYTHAGOREANNUMBERS
MR.BROWNE'SSQUAREANDLUSUSNUMERORUM
CHAPTERⅦ.SOMECURIOUSMAGICSQUARESANDCOMBINATIONS
CHAPTERⅧ.NOTESONVARIOUSCONSTRUCTIVEPLANSBYWHICHMAGICSQUARESMAYBECLASSIFIED
THEMATHEMATICAl.VALUEOFMAGICSQUARES
CHAPTERⅨ.MAGICCUBESOFTHESIXTHORDER
A"FRANKLIN"CUBEOFSIX
AMAGICCUBEOFSIX
MAGICCUBEOFSIX
CHAPTERⅩ.VARIOUSKINDSOFMAGICSQUARES
OVERLAPPINGMAGICSQUARES
ODDLY-EVENMAGICSQUARE
NOTESONODDLY-EVENMAGICSQUARES
NOTESONPANDIAGONALANDASSOCIATEDMAGICSQUARES
SERRATEDMAGICSQUARES
LOZENGEMAGICSQUARES
CHAPTERⅪ.SUNDRYCONSTRUCTIVEMETHODS
ANEWMETHODFORMAKINGMAGICSUQARESOFODDORDERS
THECONSTRUCTIONOFMAGICSQUARESANDRECTANGLESBYTHEMETHODOF"COMPLEMENTARYDIFFERENCES"
NOTESONTHECONSTRUCHONOFMAGICSQUARESOFORDERSWHICHnISOFTHEGENERALFORM
NOTESONTHECONSTRUCTIONOFMAGICSQUARESOFORDERSINWHICHnISORTHEGENERALFORM
GEOMETRICMAGICSQUARESANDCURES
CHAPTERⅫ.THETHEORYOFREVERSIONS
CHAPTERⅩⅢMAGICCIRCLES,SPHERESANDSTARS
MAGICCIRCLES
MAGICSPHERES
MAGICSTAR
CHAPTERⅩⅣ.MAGICOCTAHEDROIDS
MAGICINTHEFOURTHDIMENSION
FOUR-FOLDMAGICS
CHAPTERⅩⅤ.ORNATEMAGICSQUARES
GENERALRULEFORCONSTRUCTINGORNATEMAGICSQUARESOFORDERS=(mod
ORNATEMAGICSQUARESOFCOMPOSITEODDORDERS
THECONSTRUCTIONOFORNATEMAGICSQUARESOFORDERSAND
BYTABLESTHECONSTRUCTIONOFORNATEMAGICSQUARESOFORDER
BYMAGICRECTANGLE
PANDIAGONAL-CONCENTRICMAG
CSQUARESOFORDERS
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