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In mathematics, a multiplication table (sometimes, less formally, a times table) is a mathematical table used to define a multiplication operation for an algebraic system. The decimal multiplication table was traditionally taught as an essential part of elementary arithmetic around the world, as it lays the foundation for arithmetic operations ...
The first three rows in the table below reproduce the headings and first two data rows of the left-side 19 degree page of Napier's table, see photograph. They are followed by values computed using modern algorithms for the same angles. [6] These are truncated to 8-digit accuracy, one more than the nominal 7-digit accuracy of Napier's table.
The History of Mathematical Tables: from Sumer to Spreadsheets is an edited volume in the history of mathematics on mathematical tables.It was edited by Martin Campbell-Kelly, Mary Croarken, Raymond Flood, and Eleanor Robson, developed out of the presentations at a conference on the subject organised in 2001 by the British Society for the History of Mathematics, [1] [2] and published in 2003 ...
These problems, spanning many areas of mathematics, formed a central focus for much of 20th-century mathematics. Today, 10 have been solved, 7 are partially solved, and 2 are still open. The remaining 4 are too loosely formulated to be stated as solved or not. [citation needed] A map illustrating the Four Color Theorem
Twenty-one bamboo strips of the Tsinghua Bamboo Strips, when assembled in the correct order, represent a decimal multiplication table that can be used to multiply numbers (any whole or half integer) up to 99.5. [3] Joseph Dauben of the City University of New York called it "the earliest artefact of a decimal multiplication table in the world". [3]
Napier gave details of a scheme for arranging the tables so that no rod has two copies of the same table, enabling every possible four-digit number to be represented by 4 of the 10 rods. A set of 20 rods, consisting of two identical copies of Napier's 10 rods, allows calculation with numbers of up to eight digits, and a set of 30 rods can be ...
As a result of this controversy, and despite the ongoing influence of the New Math, the phrase "new math" was often used to describe any short-lived fad that quickly becomes discredited [citation needed] until around the turn of the millennium [7] [better source needed]. In 1999, Time placed it on a list of the 100 worst ideas of the 20th century.
The first tables of trigonometric functions known to be made were by Hipparchus (c.190 – c.120 BCE) and Menelaus (c.70–140 CE), but both have been lost. Along with the surviving table of Ptolemy (c. 90 – c.168 CE), they were all tables of chords and not of half-chords, that is, the sine function. [1]
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