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If you think math is a difficult subject, you should try to learn some of the more advanced branch as abstract algebra before coming to such a conclusion. It is in these higher realms of this most famous material you learn about mathematical structures like groups, fields, and rings, and the assets involved in these things. After a jaunt through such mysterious realms, one comes up with a new increase in this most fascinating material.

What depth article mathematics as * Abstract Algebra * concern themselves with? In a nutshell, this field is trying to classify and categorize math sets with the result to be able to solve problems that share certain characteristics. To make clear the previous described mumbo jumbo, let’s look at some examples. Take a set of linear equations, which take the form of * y = ax + b *, where a and b are any real numbers and not 0. The set of all such equations forms a mathematical class and as a result, any member of this set shares number of similar properties. The variable constants a and b, determine such differences slope line and the point at which the graphic, the line crosses the y-axis, also known as the y-intercept.

By studying such a set of objects, mathematicians can sort the properties contained in the class and thus draw conclusions about what is and is not possible for this set. For example, in a linear equation Class Y = ax + b, we can rewrite this as * ax + by = c *, again as a, b, and c are real numbers and a and b are not 0 ( If they are 0, then we no longer have a linear equation in x and y.) Now if we limit a, b, and c in a subset of the real numbers, and integers, we have a new category called * linear Diophantine equations *. This will be a curious set of things, and one that finds itself rich in real life. For example, many applications in the real world require such a solution of linear equations with the restriction that a, b, and c are integers. An example would be in agriculture, where such rule could represent cattle lactation.

Suppose the town, there are two types of cattle, which we shall call A Cattle and livestock B. Cattle A output 30 gallons of milk a week, and Cattle B output 40 liters of milk per week. For the town to meet the delivery of its quota, 1,000 liters of milk per week needed. How many of each type of cattle to meet this quota?

Such problems need mathematicians to learn the class of linear Diophantine equations. By analytically dissecting this class and find common assets and properties, mathematicians can finally solve such a “bull” raise questions. When learning this class, mathematicians will come up with certain immutable or hard assets that put the class together. These features will be hard theorems that can be used to determine whether some of the problems can be solved or not. In fact, it was the study of second order Diophantine equations that led to the last sentence of historical Fermat, which was only resolved recently. This problem was unresolved for hundreds of years, after being on the edge of the manuscript by the French mathematician Pierre de Fermat.

So if you think the more advanced mathematics provider just confused, think again. It is this higher range that allows us to relentlessly continue in technically oriented world. So you come to appreciate this higher range, in some future articles I will continue to explore this topic in more detail. For now chomp on what you have and begin to appreciate this most amazing field.

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