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Questions tagged [algebra]

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Origin of the expression “Fundamental theorem of Algebra”

Who was the first person to use the expression “Fundamental theorem of Algebra”? It is well-known that Gauss called it “Fundamental theorem of algebraic equations”. Grattan-Guiness, in his The Rainbow ...
5
votes
1answer
155 views

What algebra problem did Serge Lang give to calculus students?

Joel Spolsky tells this story: Serge Lang, a math professor at Yale, used to give his Calculus students a fairly simple algebra problem on the first day of classes, one which almost everyone could ...
6
votes
2answers
171 views

How did the modern understanding of Galois theory come about?

The "modern" understanding of the Galois group of a polynomial is as automorphisms of the splitting field of the polynomial which keep the base field fixed. These concepts were unknown to Galois, who ...
3
votes
1answer
125 views

Was further research done about the invention of Algebra?

In his book “A History of Mathematics”, Carl Boyer mentions that both AlKhwarizmi and Abd ElHamid Ibn Turk wrote their books on Algebra (“Aljabr w Almuqabla” and “Logical Necessities” respectively) at ...
3
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1answer
106 views

In history of algebra, who was the first to add one equation to another equation?

In history of algebra, who was the first to add one equation to another equation? Someone gave me the name of an Italian mathematician of Renaissance period, but I lost the email. I wish to make it a ...
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0answers
61 views

How was invented quadratic equation? [duplicate]

How actually people invented the quadratic equation? What practical problem did they solve? There are some info about this exist in internet, but it is very abstract - I cant find the concrete task ...
5
votes
2answers
177 views

When it was discovered that cubic equations always have roots?

Every cubic equation (with real coefficients) has a real root. Who was the first person who proved this? Is it already contained in Bombelli's Algebra?
2
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0answers
154 views

When did usage of the word polynomial become standard?

When did (cognates of) the word polynomial become standard in mathematical writing for expressions like $x^2 -x + 1$ and $ax^2 + bxy + cy^2$? In the 3rd edition of an 1822 English translation by Rev. ...