.webp)
Love or hate it (probably hate), we all know how algebra is used today and how it makes complicated maths problems easier to solve.
I claim to be an “Algebra Expert” yet a few weeks ago I didn’t even know how algebra was originally invented and used. After some research, here’s the story and history of algebra.
The invention of algebra
The origins of algebra date back 2,500 years ago in ancient Egypt, Babylonia, and Greece. The name algebra originated from the Arabic word “al-jabr,” which means ‘reunion of broken parts.’ Algebra studies mathematical symbols and the rules for manipulating these symbols into formulas.
The first recorded presentation of algebra was found by Muhammad ibn Musa al-Khwarizmi, known as the “Father of algebra.” He was a Persian mathematician who wrote a book later translated into English as “The Compendious Book on Calculation by Completion and Balancing,” from which the word “algebra” was derived.
(Sounds like a pleasant afternoon read doesn’t it…)
Throughout the years, algebra has developed its uses and rules. Algebra has evolved through 3 main phases which are Rhetorical Algebra, Syncopated Algebra, and Symbolic Algebra. All of these aim to solve specific problems in their respective era.
Let’s take a look at each of them:
Rhetorical Algebra
Rhetorical algebra was developed by the ancient Babylonians. Unlike modern algebra, rhetorical algebra used no symbols, only words. It’s easy to see why this was the first form: everyday sentences and problems were written down to be studied and solved in a mathematical and logical way. The purpose was clear: to solve the unknown variables written down.
Syncopated Algebra
ax + by = c
Above is the first equation where Syncopated Algebra was used. Syncopated algebra was the next step of algebra’s evolution. It’s not too dissimilar from modern day algebra, however there are a few key differences. Syncopated algebra started to use symbols, but with some clear limitations. Limited symbols were used and arbitrary rules ,which seemed important, were imposed at the time such as only subtraction once on each side of the equation. Seems like a bit of a random rule…
Symbolic Algebra
x^2 + ax + 5 = b
Symbolic algebra is the final evolution and the algebra we all use today! There are no limitations here, all variables and operations can be used anywhere through the equation. Above is an example of symbolic algebra - our GCSE students will all recognise this, it’s a ‘Quadratic equation’!
Having problems with algebra?
If you think your child is struggling with algebra; there’s no need to worry anymore. NRTutoring is here to help your kids understand each problem and enjoy maths like never before. Give us a call today and discuss your child’s education.
Comments