Magic Squares [[electronic resource] ] : Their History and Construction from Ancient Times to AD 1600 / / by Jacques Sesiano

• Record Nr.: UNINA9910338257203321
• Autore: Sesiano Jacques
• Pubbl/distr/stampa: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
• ISBN: 3-030-17993-1
• Edizione: [1st ed. 2019.]
• Descrizione fisica: 1 online resource (321 pages)
• Collana: Sources and Studies in the History of Mathematics and Physical Sciences, , 2196-8810
• Disciplina: 511.64
• Soggetti: Mathematics; History; History of Mathematical Sciences
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.