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Basic of Algebra (HISTORY, TIMELINE, PURPOSE, FATHER OF ALGEBRA FACTS) Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. Just as sentences describe relationships between specific words, in algebra, equations describe relationships between variables. Take the following example:
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Many are baffled when asked why there is Algebra and why someone came up with it. What was its emergence’ justification? Algebra was invented because many different cultures and people developed algebraic theory. And each breakthrough and new method came about for its own particular reasons. It was always done to solve a problem and make a solution easier to find. For example, the Babylonians used algebra to work out the area of items and the interest on loans, among other things. It had a real use and purpose and this why it was developed. To end this confusion once and for all, Algebra’s principal purpose is to ease or simply with the way of utilizing different symbols like the alphabet to represent numbers and objects , and to state a mathematical equation and its connection on constituting entities as a variable as an element of a set. This provides value substitution in order to solve for the unknown quantities. In conclusion, we can steer or control the equation to set it as regards to the matter of one of the variables. Algebra lets us to substitute the letters for the item’s names in a relationship which generates an equation, further for we can solve an item or object by substituting values.
Let us admit it, that almost all students have questioned the purpose of math in everyday life. Sure, we do often use addition, subtraction, multiplication and division, but what about the other like calculus, geometry, algebra etc. Regarding our subject matter which is Algebra, we may not usually notice it, but we do use algebra most in our daily lives. Not just because we don’t see the X and Y doesn’t mean that its existence is mere unnecessary. Below are the examples of Algebra in our everyday lives: Early Life In the early stages of development, an infant makes use of algebra to calculate trajectories. A 16 week old baby is able to assess the direction of an object approaching and is even able to determine the position where the object will land. Babies easily estimate the distance between them and the toy and are also able to track the objects. Despite the fact that the infants have no theoretical knowledge of the algebraic operations, yet they are able to make efficient use of it.
Professional Advancement Morning Routine Business and Finance Management Sports Cooking Technology Logical Thinking Home Improvement Health and Fitness Pool Outdoor Landscaping
Period: 2,700 BCE to 2,300 BCE The First Equations
Archimedes was a greek mathematician that produced a formula that was used to find the relation between the surface and the volume of a sphere, amongst other shapes. He is also known for his Archimedes Screw, which is a method used to pump water. This is still used in developing countries. Period: 1540 to 1603 The First +/- in Algebra Francois Viete starts uses letters to replace variables and uses the +/- signs to represent addition and subtraction. Viete was a french mathematician who introduced the first systematic algebraic notation and contributed to the theory of equations. In 1579, Vete wrote “Mathematical Laws Applied to Triangles”. We still use his method today. 1551 The Word Algebra The roots of “Algebra”, is traced back to the Arabic and Medieval Latin word, “Al Jabr”, that means “the reduction”. Its source is unknown, but many people think that either Diophantus and Al-Khowarizm were the source of the name. 1551 The Beginning of Algebra The two best known “Fathers of Algebra” are Diophantus, a Greek mathematician, and Abu Jaafar Mohammad Ibn Mousa Al Khwarizmi (Al for short), who both made contributions to the second stage of algebra. Al designed methods for reducing and balancing algebraic equations, and introduced algorithms. (Mathematical operation/rules.) Diophantus wrote 13 books called 'Arithmetica', which hold problems and solutions that have advanced algebraic notation. Period: 1777 to 1885 Proving the Fundamental Theorem of Algebra
German mathematician Carl Friedrich Gauss proves the Fundamental Theorem of Algebra. He is known as one of the greatest mathematicians of all time, and is known for his work in algebra, number theory, geometry, probability theory, geodesy, astronomy, and the theory of functions. His thesis in 1797 gave proof of the fundamental theorem of algebra, which was that every polynomial equation, real or complex coefficients, has as many solutions as its highest power of the variable. Period: 1802 to 1829 Functional Algebraic Equations Norwegian mathematician Niels Henrik Abel proves that there is no general formula that solves all quintic equations. Abel’s first papers, published in 1823, were on functional equations and integrals; he was the first person to formulate and solve an integral equation.
There are fundamental ideas that relate to algebra that were discovered multiple times by different people who weren't aware of the discoveries being made in other parts of the world. In ancient times, it was comment for discoveries to be made in parallel by different people, as news was slow to travel. It was discovered and developed at different times and in different locations, and these discoveries and new ideas eventually came together to give us what we collectively call algebra today.