Unformatted text preview: x 3 − 2 x 2 + 10 x − 1 = 5: K υ 1 ς 10 ⋔ Δ υ 2 ◦ M 1 iσ ◦ M 5 • Except for the Hindus, who syncopated their algebra, Diophantus’ innovation was largely neglected for many hundreds of years. • AlKhowârizmî’s work was rhetorical. • In Western Europe, algebra was mainly rhetorical until the 15th century. Symbolic algebra was not prevalent there until 1650. ◦ Vi’‘ete (late 1500s) ⋆ The inventor of literal calculus. ⋆ Used symbols for parameters as well as unknowns. ⋆ Used vowels for unknowns, consonants for parameters. ⋆ Introduced square brackets and braces as grouping symbols. (Parentheses appeared in 1544.) ◦ Descartes (early 1600s) ⋆ Dispensed with homogeniety. ⋆ Used modern naming conventions. ⋆ Made systematic use of positive integer exponents. (±or n = 2, only occasionally.) ◦ Miscellaneous...
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This note was uploaded on 12/29/2011 for the course MATH 378 taught by Professor Wen during the Fall '10 term at SUNY Stony Brook.
 Fall '10
 wen
 Algebra

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