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- Albert_Girard abstract "Albert Girard (1595, Saint-Mihiel, France − 8 December 1632, Leiden) was a French-born mathematician. He studied at the University of Leiden. He \"had early thoughts on the fundamental theorem of algebra\" and gave the inductive definition for the Fibonacci numbers.He was the first to use the abbreviations 'sin', 'cos' and 'tan' for the trigonometric functions in a treatise. Girard was the first to state, in 1632, that each prime of the form 1 mod 4 was the sum of two squares. (See Fermat's theorem on sums of two squares.) It was said that he was quiet-natured and, unlike most mathematicians, did not keep a journal for his personal life.In the opinion of Charles Hutton, Girard was...the first person who understood the general doctrine of the formation of the coefficients of the powers from the sum of the roots and their products. He was the first who discovered the rules for summing the powers of the roots of any equation.This had previously been given by François Viète for positive roots, and is today called Viète's formulas, but Viète did not give these for general roots.In his paper, Funkhouser locates the work of Girard in the history of the study of equations using symmetric functions. In his work on the theory of equations, Lagrange cited Girard. Still later, in the nineteenth century, this work eventuated in the creation of group theory by Cauchy, Galois and others.Girard also showed how the area of a spherical triangle depends on its interior angles. The result is called Girard's theorem. He also was a lutenist and mentioned having written a treatise on music, though this was never published.".
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- Albert_Girard wikiPageWikiLink Augustin-Louis_Cauchy.
- Albert_Girard wikiPageWikiLink Category:1595_births.
- Albert_Girard wikiPageWikiLink Category:1632_deaths.
- Albert_Girard wikiPageWikiLink Category:17th-century_mathematicians.
- Albert_Girard wikiPageWikiLink Category:Dutch_mathematicians.
- Albert_Girard wikiPageWikiLink Category:Dutch_people_of_French_descent.
- Albert_Girard wikiPageWikiLink Category:French_mathematicians.
- Albert_Girard wikiPageWikiLink Category:Leiden_University_alumni.
- Albert_Girard wikiPageWikiLink Category:People_from_Leiden.
- Albert_Girard wikiPageWikiLink Category:People_from_Meuse.
- Albert_Girard wikiPageWikiLink Charles_Hutton.
- Albert_Girard wikiPageWikiLink Fermats_theorem_on_sums_of_two_squares.
- Albert_Girard wikiPageWikiLink Fibonacci_number.
- Albert_Girard wikiPageWikiLink François_Viète.
- Albert_Girard wikiPageWikiLink Fundamental_theorem_of_algebra.
- Albert_Girard wikiPageWikiLink Group_theory.
- Albert_Girard wikiPageWikiLink Joseph-Louis_Lagrange.
- Albert_Girard wikiPageWikiLink Leiden.
- Albert_Girard wikiPageWikiLink Leiden_University.
- Albert_Girard wikiPageWikiLink Lute.
- Albert_Girard wikiPageWikiLink Saint-Mihiel.
- Albert_Girard wikiPageWikiLink Spherical_trigonometry.
- Albert_Girard wikiPageWikiLink Symmetric_function.
- Albert_Girard wikiPageWikiLink Theory_of_equations.
- Albert_Girard wikiPageWikiLink Trigonometric_functions.
- Albert_Girard wikiPageWikiLink Vietas_formulas.
- Albert_Girard wikiPageWikiLink Évariste_Galois.
- Albert_Girard wikiPageWikiLinkText "Albert Girard".
- Albert_Girard wikiPageWikiLinkText "Girard, Albert".
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- Albert_Girard subject Category:1595_births.
- Albert_Girard subject Category:1632_deaths.
- Albert_Girard subject Category:17th-century_mathematicians.
- Albert_Girard subject Category:Dutch_mathematicians.
- Albert_Girard subject Category:Dutch_people_of_French_descent.
- Albert_Girard subject Category:French_mathematicians.
- Albert_Girard subject Category:Leiden_University_alumni.
- Albert_Girard subject Category:People_from_Leiden.
- Albert_Girard subject Category:People_from_Meuse.
- Albert_Girard hypernym Mathematician.
- Albert_Girard type Person.
- Albert_Girard type Scientist.
- Albert_Girard type Mathematician.
- Albert_Girard type Redirect.
- Albert_Girard type Scholar.
- Albert_Girard type Scientist.
- Albert_Girard type Thing.
- Albert_Girard comment "Albert Girard (1595, Saint-Mihiel, France − 8 December 1632, Leiden) was a French-born mathematician. He studied at the University of Leiden. He \"had early thoughts on the fundamental theorem of algebra\" and gave the inductive definition for the Fibonacci numbers.He was the first to use the abbreviations 'sin', 'cos' and 'tan' for the trigonometric functions in a treatise. Girard was the first to state, in 1632, that each prime of the form 1 mod 4 was the sum of two squares.".
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