What Was Your Cm Like Before Your Period?

for those mistakes we all make in Algebra: for my students of 4 º ESO

When we lack vocabulary all students and teachers say "that thing" ; effectively and referred to the unknown in the set of math problems and treaties Algebra as in the book of John the Baptist Tolra , published in Tarragona in 1619 : "Treaty of Art over Arithmetic, Algebra or call rule thing."

The first book of algebra castellan written or published in Valencia in 1552 " First Book of Arithtmetica Algebratica " of Marco Aurel, digitized Virtual Library Miguel de Cervantes and the link can also enjoy:

http://trobes.uv. es/tmp/_webpac2_1358056.3511

In the book Marco Aurel said that in the equations of the type:
the only solution is x = 1.

How
may not give notice that equality is an identity
and therefore holds for any value assigned to x?.

need a good notation to clarify the resolution of the equations at that time were algebraists "cosist" and Cervantes in Chapter XV of the second part of Don Quixote algebraist used as a restoration of bones and not an equation solver.


Today in class, Algebra practice more than any other branch of Mathematics, at all levels, blackboards full of x and and - See what e-already practiced in class and besides I want to sing "the girl ye, ye " my students refuse to pronounce it so.

Sometimes a devil is cast into a coefficient changing exercises, a sign, and difficult to solve.

Algebra is the offer made by the devil to the mathematician. The devil said, "I give you this powerful machine, who will answer any question. All you need is to give me your soul leaves the geometry and I will give this wonderful machine. (Michael Atiyah)

Quote
found in the preface that Barry Mazur makes an indispensable book:
Number the language of science Tobias Dantzig (in the reissue of 2005's classic 1930)

" Algebra is a scientific art. Its purpose are the numbers absolute and measurable quantities, which are unknown, but referring to anything known so that they can be determined, and this thing known is reached by analyzing the conditions of the problem in this art we look for relationships that link the magnitudes given the problem with the unknown, which, in the manner indicated above, is the subject of algebra. The perfection of this art consists in the knowledge of mathematical methods , with the help of which may be referred to the determination of both the numerical and geometric unknowns. Algebraic resolution, as is well known, is made only by an equation, that is, by matching some powers with others. "

This beautiful definition of algebra is the Persian poet Ghiyath al-Din Abu'l-Fath Omar ibn Ibrahim l-Nishaburi the -Khayyam (عمر بن إبرهيم خيام بيشابوري in Arabic), our poet of the last entry in his book entitled:
"Treatise on Algebra problems demonstrations.

Omar Khayyam we will use the letter x for the unknown using the Arabic term for shay, meaning "thing", which was translated into English scientific works as x to y . In short, it was replaced by first letter, the initial x . Development

the first procedure of solving the quadratic and cubic equations from conic sections.

On this page, Omar is solving the problem: "a cube, the sides and the numbers are equal the squares ", or, in modern notation, x ³ + cx + d = bx ^2.

The two conics whose intersection provides the solution is a circle and a hyperbola in the drawing, these curves intersect twice, thus providing two solutions of the cubic equation.

And since this post is old books:


virtual exhibition of ancient books, on the occasion of the year World of Mathematics, was held in Seville in December 2000 in the link:

http://euler.us.es/ ~ books / iberia.html