03176nam 22004695 450 991033825720332120200702072258.03-030-17993-110.1007/978-3-030-17993-9(CKB)4100000008280552(MiAaPQ)EBC5778384(DE-He213)978-3-030-17993-9(PPN)259391190(EXLCZ)99410000000828055220191024d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierMagic Squares Their History and Construction from Ancient Times to AD 1600 /by Jacques Sesiano1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (321 pages)Sources and Studies in the History of Mathematics and Physical Sciences,2196-88103-030-17992-3 Includes bibliographical references and index.I. 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.The 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.Sources and Studies in the History of Mathematics and Physical Sciences,2196-8810MathematicsHistoryHistory of Mathematical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M23009Mathematics.History.History of Mathematical Sciences.511.64Sesiano Jacquesauthttp://id.loc.gov/vocabulary/relators/aut471739BOOK9910338257203321Magic Squares1732553UNINA