Magic Squares Their History and Construction from Ancient Times to AD 1600 /

• Κύριος συγγραφέας: Sesiano, Jacques (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Sources and Studies in the History of Mathematics and Physical Sciences,
• Θέματα: Mathematics.; History.; History of Mathematical Sciences.

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 o...

Πίνακας περιεχομένων:

• 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.