“By the latter part of the first millennium of the Current Era, the system we use today to write numbers and do arithmetic had been worked out—expressing any number using just the ten numerals 0, 1, 2, 3, 4, 5,… — Keith J. Devlin Copy Share Image
“The number system we use today—the Hindu-Arabic system—was developed in India and seems to have been completed by around 700 CE. Indian mathematicians made advances in what would today be described as arithmetic, algebra, and geometry, much of their work… — Keith J. Devlin Copy Share Image
“When he was about fourteen years of age, Leonardo would have left the fondaco and most likely traveled with an older merchant, a form… — Keith J. Devlin Copy Share
“a baby’s failure to reach for an object hidden under a blanket does not support the rather dramatic conclusion that the baby thinks the… — Keith J. Devlin Copy Share
“Having described the basic methods of Hindu-Arabic arithmetic in the first seven chapters, Leonardo devoted most of the remainder of the book to practical… — Keith J. Devlin Copy Share
“In chapter 10, he explained how to use similar methods to manage investments and profits of companies and their members, and showed how to… — Keith J. Devlin Copy Share
“By the latter part of the first millennium of the Current Era, the system we use today to write numbers and do arithmetic had… — Keith J. Devlin Copy Share
“A significant difference between Pacioli’s book and Treviso Arithmetic is that Pacioli dealt with negative numbers. The concept of negative numbers was new in… — Keith J. Devlin Copy Share
“The choice of ten basic number symbols—that is, the Hindus’ choice of the base 10 for counting and doing arithmetic—is presumably a direct consequence… — Keith J. Devlin Copy Share
“The number system we use today—the Hindu-Arabic system—was developed in India and seems to have been completed by around 700 CE. Indian mathematicians made… — Keith J. Devlin Copy Share
“Underlying all this activity—in the customhouses, on the wharves, in every place of business—were numbers. Merchants measured out their wares and negotiated prices; customs… — Keith J. Devlin Copy Share
“European scholars had translated into Latin two important Arabic manuscripts, written by the ninth-century Persian mathematician Abū ‘Abdallāh Muammad ibn Mūsā al-Khwārizmī (ca. 780–ca.… — Keith J. Devlin Copy Share
