Nicht aus der Schweiz? Besuchen Sie lehmanns.de
Magic Squares - Jacques Sesiano

Magic Squares

Their History and Construction from Ancient Times to AD 1600

(Autor)

Buch | Softcover
XII, 313 Seiten
2020 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-17995-3 (ISBN)
CHF 127,30 inkl. MwSt
  • Versand in 15-20 Tagen
  • Versandkostenfrei
  • Auch auf Rechnung
  • Artikel merken
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.

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.

"This is certainly a definitive comprehensive treatise on the history of magic squares from their known beginnings to 1600. There is a wealth of material, containing methods of construction as well as individual magic squares, including bordered and pandiagonal magic squares, that is astonishing." (Victor V. Pambuccian, zbMATH 1422.01002, 2019)

“This is certainly a definitive comprehensive treatise on the history of magic squares from their known beginnings to 1600. There is a wealth of material, containing methods of construction as well as individual magic squares, including bordered and pandiagonal magic squares, that is astonishing.” (Victor V. Pambuccian, zbMATH 1422.01002, 2019)

Erscheinungsdatum
Reihe/Serie Sources and Studies in the History of Mathematics and Physical Sciences
Zusatzinfo XII, 313 p.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 498 g
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Geschichte der Mathematik
Schlagworte composite magic squares • diagonal placing • magic circles • magic crosses • magic rectangles • magic triangles • method of Stifel • method of the cross
ISBN-10 3-030-17995-8 / 3030179958
ISBN-13 978-3-030-17995-3 / 9783030179953
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich