Article ID: CBB000932284

Étienne Bézout: Analyse algébrique au siècle des Lumières (2008)

unapi

The topic of this paper is, on the one hand to introduce algebraic analysis results of Étienne Bézout (1730-1783) not as we know them today but as he found them in his time, and on the other hand to emphasize his innovating viewpoints. We will be concerned with Bezout special way of reducing elimination for any degree systems to finding conditions for linear systems solutions, with his typical use of indeterminate coefficients that he doesn't compute but looks only for existence and number, with his idea to work on set of polynomials products sums, and with a very personal method to found two equations resultant.

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Description On the work of this 18th-century mathematician.


Citation URI
https://data.isiscb.org/isis/citation/CBB000932284/

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Authors & Contributors
Alfonsi, Liliane
Jiang-Ping Jeff Chen
Michael J. Ostwald
Tazzioli, R.
Archibald, T.
Williams, Kim
Concepts
Mathematics
Linear algebra
Textbooks
Algebra
Biographies
Problem solving
Time Periods
20th century, early
19th century
18th century
Enlightenment
17th century
Qing dynasty (China, 1644-1912)
Places
France
Spain
China
Turkey
Portugal
Italy
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