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100   $a20191024d2019      u|         0
101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aMagic Squares $eTheir History and Construction from Ancient Times to AD 1600 /$fby Jacques Sesiano
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (321 pages)
225 1 $aSources and Studies in the History of Mathematics and Physical Sciences,$x2196-8810
311   $a3-030-17992-3 
320   $aIncludes bibliographical references and index.
327   $aI. Introduction -- II. Ordinary magic squares -- A. Squares of odd orders -- B. Squares of evenly-even orders -- C. Squares of evenly-odd orders -- III. Composite magic squares -- A. Equal subshares displaying different sums -- B. Equal subshares displaying equal sums -- C. Division into unequal parts -- IV. Bordered magic squares -- A. Squares of odd orders -- B. Squares of evenly-even orders -- C. Squares of evenly-odd orders -- V. Bordered squares with separation by parity -- 1. The main square and its parts -- 2. Filling the inner square -- 3. Filling the remainder of the square by trial and error -- A. Methodical filling of the oblique square -- B. Methodical placing of the even numbers -- C. Particular case of the order 5 -- VI. Magic squares with non-consecutive numbers -- A. Squares of odd orders -- B. Squares of evenly-even orders -- C. Squares of evenly-odd orders -- VII. 1. Literal squares -- 2. Squares with one empty cell -- 3. Squares with divided cells -- 4. Magic triangles -- 5. Magic crosses -- 6. Magic circles -- 7. Magic rectangles -- 8. Magic cubes -- Appendices -- Bibliography -- Index.
330   $aThe science of magic squares witnessed an important development in the Islamic world during the Middle Ages, with a great variety of construction methods being created and ameliorated. The initial step was the translation, in the ninth century, of an anonymous Greek text containing the description of certain highly developed arrangements, no doubt the culmination of ancient research on magic squares.
410  0$aSources and Studies in the History of Mathematics and Physical Sciences,$x2196-8810
606   $aMathematics
606   $aHistory
606   $aHistory of Mathematical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M23009
615  0$aMathematics.
615  0$aHistory.
615 14$aHistory of Mathematical Sciences.
676   $a511.64
700   $aSesiano$b Jacques$4aut$4http://id.loc.gov/vocabulary/relators/aut$0471739
906   $aBOOK
912   $a9910338257203321
996   $aMagic Squares$91732553
997   $aUNINA