What Is Algebra?

People often think that "algebra" seems to be big and bad, but I think mainly because they do not understand what it really is. This is disappointing as algebra is very useful in the real world. Furthermore, the important idea behind it is, in fact, very simple and clear. So today we will solve this common fear and the misunderstanding of other beautiful themes by questioning secretly big questions: What is algebra?

The problem of algebra is that it is not a simple tangible ... like a spoon. If so, it is easy to explain. After all, few people can use spoons for lunch, but it is difficult to explain how it works. Unfortunately, this is different from algebra. So what is it? Okay, algebra is not like a spoon, it's a style that looks like a style or a spoon.

What I want is a crazy five-finger silver-wise two-finger (positive thumb) grip. Of course, both styles work, but one method is more reliably elegant and more efficient than the other.

The same applies to "style" of mathematics. One way - sometimes algebra - is usually best for solving certain types of problems. But style is more difficult to identify, point, mark instead of things - that is why algebra identification and tagging can be difficult. So what is the best way to consider algebra?

One of the better defenses I have seen in algebra is Keith Devlin (http://profkeithdevlin.org/2011/11/20/what-is-algebra/). Here he discusses what algebraic thinking is, and it is arithmetic thinking. What is the difference, why is it important. In today's world, most of us really need to master algebraic thinking. In particular, if you want to create a macro to calculate a cell in a spreadsheet such as Microsoft Excel, you need to use algebraic thinking. This one example clearly shows why algebra, not mathematics, should now be the main goal of math education in schools. With a spreadsheet, you do not need to perform arithmetic operations, but your computer can do this. What you must do is to first create a spreadsheet. Computer can not do this for you

These are the beginnings of a small beginning and until one day you have to be able to be as complex as an algebra. Algebra is the key to opening the door in front of you. The ability to perform algebra will help you get into the field you want to specialize. We live in the world with the best success

In algebra, it is a broad field of mathematics, abstract algebra (sometimes called modern algebra) is a study of algebraic structure. Algebraic structures include groups, rings, bodies, modules, vector spaces, lattices, and algebras. The term algebraic abstraction was built to distinguish research in this field from other algebra in the early 20th century. Like other mathematics, specific problems and examples play an important role in the development of abstract algebra. By the end of the nineteenth century, many things - perhaps most of them - were somewhat related to the theory of algebraic equations. The main topics are as follows.

From the end of the 19th century to the beginning of the 20th century, the mathematical method changed dramatically. Abstract algebra appeared at the beginning of the 20th century and appeared in the name of modern algebra. That research is part of a more rigorous field of mathematics. Initially, the assumption of classical algebra depended on mathematics as a whole (and the main part of natural science), but it took the form of axiomatic system. Mathematicians are no longer satisfied with the nature of constructing concrete objects, but we are starting to pay attention to general theory. The formal definition of a specific algebraic structure began to appear in the 19th century. For example, the results of various permutations can be seen as examples of general theorems including general concepts of abstract groups. The structure and classification of various mathematical objects is the most important issue