【现货速发】幻方和魔方
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作者W. S. Andrew著
出版社哈尔滨工业大学出版社
ISBN9787560335766
出版时间2011-07
装帧平装
开本16开
定价68元
货号7844753
上书时间2024-12-23
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导语摘要
W.S.Andrew所著的，刘培杰数学工作室编写的《幻方和魔方》研究幻方和魔方所具备的特性及构筑方法，生动地展示幻方和魔方的神奇之处。主要包括幻方的数学研究，六阶幻方，幻方类型，构造方法，幻圆等十五章内容。
目录
CHAPTERⅠ.MAGICSQUARES
THEESSENTIALCHARACTERISTICSOFMAGICSQUARES
ASSOCIATEDORREGULARMAGICSQUARESOFODDNUMBERS
ASSOCIATEDORREGULARMAGICSQUARESOFEVENNUMBERS
THECONSTRUCTIONOFEVENMAGICSQUARESBYDELAHIRESMETHOD
COMPOSITEMAGICSQUARES
CONCENTRICMAGICSQUARES
GENERALNOTESONTIIECONSTRUCTIONOFMAGICSQUARES
CHAFFERⅡ.MAGICCUBES
THEESSENTIALCHARACTERISTICSOFMAGICCUBES
ASSOCIATEDORREGULARMAGICCUBESOFODDNUMBERS
ASSOCIATEDORREGULARMAGICCUBESOFEVENNUMBERS
GENERALNOTESONMAGICCUBES
CHAFFERⅢ.THEFRANKLINSQUARES
ANANALYSISOFTHEFRANKLINSQUARES
CHAPTERⅠ.MAGICSQUARES
THEESSENTIALCHARACTERISTICSOFMAGICSQUARES
ASSOCIATEDORREGULARMAGICSQUARESOFODDNUMBERS
ASSOCIATEDORREGULARMAGICSQUARESOFEVENNUMBERS
THECONSTRUCTIONOFEVENMAGICSQUARESBYDELAHIRESMETHOD
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.BROWNESSQUAREANDLUSUSNUMERORUM
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
编辑手记
内容摘要
Oddities anti curios in magics might he illustrated ainust
without end, but one more will suffice as a final example.
Fig. 284 shows an 18 × 18 magic made by Mr. Harry A. Sayles, the
most interesting fature of which is the method of its production
from the values of rill9. The lines of recurring decimals (循环小数)
for 1/19, 2/19, 3/19...18/19 are arranged one below the other so as
to form a magic square. S = 81. It will be seen that the sequence
of the digits(数字) in all lines is the same, the position of the
decimal point in relation to the series being the only difference.
A peculiar feature of the the recurring decimals used in this
square may be mentioned, although it is common to many other such
series, with variations. 1/10 =0.052631578947368421... decimal
repeats. Starting with the first 5 and dividing by 2 each integer
determines the next integer following, thus.
The same procession follows for n/19 and also for 1/( 19×2n)though
the operation will not apply in all cases to the first few numbers
of each series.
If the decimal 0. 05263... 1, consisting of 18 fig- ures, is
divided into two even sections of 9 figures each, and one section
superposed (迭生的) on the other.
精彩内容
W.S.Andrew所著，刘培杰数学工作室编写的《幻方和魔方》列举诸多幻方和魔方的例子，研究幻方和魔方所具备的特性及构筑方法，生动地展示幻方和魔方的神奇之处。主要包括幻方的数学研究，六阶幻方，幻方类型，构造方法，幻圆等十五章内容。
《幻方和魔方》适合在校学生的学习研究，以及幻方和魔方爱好者作为兴趣读物。
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