## Algebra

Ancient Egyptian mathematics is based

on the Rhind papyrus which was written

about 1650 B.C.

linear equations with one unknown could

be solved through “the method of false

position.”

The algebra did not use symbols…they

were stated and solved verbally

al-jabr can be translated to

“resto ration ” or “completion”

Latin version of the Arabic word al-jabr

can be translated to “the science of

equations”

Moroccan Arabs introduced the word

“algebrista” (used in Spain) which means

”restorer of broken bones, bonesetter.”

Bonesetting and bloodletting were done

at the barber shop so the barber was

known as an algebrista

This is why the barber poles are

“bloody” red

During the ninth and tenth centuries,

Abu Kamil shows calculations of complex

area problems which solves three nonlinear

equations with three unknowns

The ancient Babylonians solved

** quadratic equations ** by some of the

same procedures taught today.

Algebra can be divided into classical

algebra-equation solving and finding the

unknown and abstract or modern

algebra- the study of groups , rings and

fields

## History

The earliest algebra is the Egyptian Rhind Papyrus

(c.1700 BC).

Algebra most likely originated in Babylonia

820 AD The Arabic scholar al-Khwarizmi is

credited with beginning Algebra. Al Khwarizmi

used earlier Hindu mathematical ideas as well as

other earlier works.

Musa al-Khwarizmi who lived from 780--850 A.D.

is considered one of the greatest mathematicians

of all times .

Al-Khwarizmi wrote one of the first Arabic

algebra books which was a systematic

documentation of the basic theory of equations,

with both examples and proofs.

The origins of algebra can be traced to the

ancient Babylonians. This is where early

developments of an advanced arithmetical system

were created. This allowed the ability to perform

calculations in algebra. They were also able to

apply formulas and calculate solutions for unknown

values in problems typically solved today by using

linear equations and quadratic equations.

Algebra isn’t considered the independent invention

of any single person. It is a field of study that

had numerous significant contributors over many

centuries.

A significant development in algebra in the 16th

century was the introduction of symbols for the

unknown and for algebraic powers and operations .

Rene Descartes wrote Book III of La gĂ©ometrie

(1637)

This book looks a lot like a modern algebra text.

Descartes most significant contribution to

mathematics was his discovery of **analytic**

geometry, which reduces the solution of

geometric problems to the solution of algebraic

ones.