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Knowledge About Algebra

  • 1.

    What is algebra?

    Algebra might sound intimidating, but it's really a kind of secret decoder ring for math! In other words, algebra is like a language made up of numbers and symbols in which we use letters—like x and y—as place-holders in a general way of describing situations, and then to find values or relations which apply to any values we choose. You can use it to find missing pieces or figure out puzzles in which some information is known but not all. Use algebra like a detective game in which numbers are clues to help you solve the mysteries!
  • 2.

    Who Invented Algebra? A Group Effort!

    You might find this interesting: algebra wasn't exactly 'invented' by one person, but rather it was developed over time. Although there is no individual 'inventor' of algebra, some of those who helped it emerge were mathematicians with their civilizations—Babylonians, Egyptians, Greeks. A bright guy who gave a good foundation around the 9th century was Muhammad ibn Musa al-Khwarizmi, a Persian mathematician. This influential book set down the basics of solution; hence, most of the time, he is referred to as the father of algebra.
  • 3.

    What is linear algebra? Is linear algebra hard?

    Linear algebra is the coolest branch of algebra; it talks about lines, planes, and vectors. As a rough analogy, one might think of it as concerning lines and line directions in space. This might sound more daunting than it is, but it's really attached to cool things like machine learning and computer graphics. And don't be scared of this. It is challenging in the sense that it's not like everything else you have done. More challenging than other algebra? Not really. Just a different ball game. Whether it's hard will depend on how comfy you are with your abstract head on, really. Think of it as some new skill. Difficult the first time, but as you practice, you will see patterns; it becomes rather manageable. Besides, it's really useful.
  • 4.

    Real-world Applications of Algebra

    Technology: Algebraic algorithms are basic procedures in all applied technology fields, since they are responsible for the processing of all sorts of data. For instance, in an audio signal, the process of balancing the output with respect to the signal involves volume control whereby logarithmic scales are calculated so as to be added to yield a result.


    Healthcare: In the medical imaging world, take MRI scans, then algebra is an essential way of making images of the signals the scanner picks up. Normally, such processes are executed by the translation of raw data into images through complex algebraic formulae, which are interpretable by the doctors.


    Economics: Algebraic models are used in the analysis and prediction of economic trends by economists. It implies developing equations that represent the behavior of the economy and solving them to predict outcomes such as market responses or financial fluctuations.


    Normal Decisions: Algebra becomes very practical in everyday play when using activities such as sharing bills or working out how much paint to purchase for redecorating the house. A lot of these kinds of tasks involve solving for unknowns in equations.

  • 5.

    Fun Facts about Algebra

    Word Game: Thus, the term 'algebra' does go back to the Arabic 'al-jabr', which was part of the title of a famous book by the mathematician al-Khwarizmi, meaning roughly 'reunion of broken parts' or 'completion'.


    Ancient Origins: While algebra was developed and formalized to a great extent by al-Khwarizmi during the 9th century, in fact, the Babylonians had used techniques similar to algebra—solving quadratic equations—thousands of years before. Their way of doing it was more arithmetical and less symbolic than modern algebra.


    Universal Language: Algebra is thus often regarded as a universal language, for its rules and methods are followed all over the world. This extrapolates to a method and solution to a quadratic equation done in one culture or country pretty much being the same as the answer arrived at in another.

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