定 價：68 元
叢書名：歐美初等數(shù)學經(jīng)典系列(第一輯)
- 作者：W. S. Andrew著;
- 出版時間：2012/5/1
- ISBN：9787560335766
- 出 版 社：哈爾濱工業(yè)大學出版社
- 中圖法分類：O157-49
- 頁碼：525頁
- 紙張：膠版紙
- 版次：1
- 開本：16K
本書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筑方法，生動地展示幻方和魔方的神奇之處，主要包括幻方的數(shù)學研究，六階幻方，構造方法，幻圓等等十五章內(nèi)容。
·富蘭克林幻方
·幻方的數(shù)學研究
·六階幻方
·諸多幻方類型
·多種構造方法
·幻圓
CHAPTERⅠ.MAGICSQUARES
THEESSENTIALCHARACTERISTICSOFMAGICSQUARES
ASSOCIATEDORREGULARMAGICSQUARESOFODDNUMBERS
ASSOCIATEDORREGULARMAGICSQUARESOFEVENNUMBERS
THECONSTRUCTIONOFEVENMAGICSQUARESBYDELAHIRE'SMETHOD
COMPOSITEMAGICSQUARES
CONCENTRICMAGICSQUARES
GENERALNOTESONTIIECONSTRUCTIONOFMAGICSQUARES
CHAFFERⅡ.MAGICCUBES
THEESSENTIALCHARACTERISTICSOFMAGICCUBES
ASSOCIATEDORREGULARMAGICCUBESOFODDNUMBERS
ASSOCIATEDORREGULARMAGICCUBESOFEVENNUMBERS
GENERALNOTESONMAGICCUBES
CHAFFERⅢ.THEFRANKLINSQUARES
ANANALYSISOFTHEFRANKLINSQUARES
CHAPTERⅠ.MAGICSQUARES
THEESSENTIALCHARACTERISTICSOFMAGICSQUARES
ASSOCIATEDORREGULARMAGICSQUARESOFODDNUMBERS
ASSOCIATEDORREGULARMAGICSQUARESOFEVENNUMBERS
THECONSTRUCTIONOFEVENMAGICSQUARESBYDELAHIRE'SMETHOD
COMPOSITEMAGICSQUARES
CONCENTRICMAGICSQUARES
GENERALNOTESONTIIECONSTRUCTIONOFMAGICSQ
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 (循環(huán)小數(shù))
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(數(shù)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.
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