MATHEMATICAL RESEARCH

To make or create a research, we need some ways that we should we do included in mathematical research. The first way, you need many references to support your research. One of references is browsing internet. Internet is broad network in the world. It save many information that can help you make easier do everything. You can find out many things in there. So, you can collect much information about your research from it to complete your research. And then, the second way, you should make a discourse about mathematics like The Nature of Mathematics that content of definition of mathematics. In the discourse, you should explain the definition of mathematics according to your own thinking. There are many definitions about mathematics, but everyone have different in make a definition of mathematics. They have different opinion and it according to their thinking severally and their experiences in learn mathematics. Such as, “Mathematics is a science or system which is constructed by deductive method composing definition, axioms, and theorems in such away that there is no contradiction in side. It is an example of formal mathematics or axiomatic mathematics. For the third way, you find out the definitions of mathematics. By definition of mathematical system, you will create a new theorem which is not available before yet. But to make it, you should construct mathematics system that have available. So, from much information about mathematical system, you can combine all if information becomes a theorem. After that, you can give your theorem’s name; in order to it can remember by everyone easily. There are some examples of mathematical system. Such as, Group Theory, Ring Theory, Fied theory, Numbers Theory, Euclidean Geometry, Non-Euclidean Geometry, Number System, and many more. You can take one of them to be a research. In make mathematical research, you must have a purpose of the research. It was done to clarify the research conducted. For example, the aim of mathematical research is to examine and establish new system of mathematics. Here, examine means to test existing theories of previous mathematicians. Whereas, establish means you create a new theory of mathematics that has not existed before. Therefore, you create a new something in mathematics. There are main aspects of mathematics, namely definition, axioms, theorems, and rule/law/procedure in mathematics. And then there are some factors which are supporting your research. For the first is your knowledge of mathematics. It will assist all to make a research like the matters learned in mathematics. You can apply it to help you develop your research. And then, the factor is your knowledge of the history of mathematics. History of some mathematicians theorems produced by mathematicians can expand your mathematical research. Learning from the history and the philosophy of mathematics also can create a new theorem. The theorem consists of two divisions; there is complete system of mathematics, but it is not consistent. And another is consistent system of mathematics, but it is not complete. But the proof of theorem is incompleteness. Other factor is your knowledge of the mathematicians. Mathematicians can be supporter to establish your spirit to create a new thing that useful for everybody in the world someday for study mathematics. Then the last is your experiences of developing mathematics. Many ways that can do to develop your skill in mathematics. Like a mathematical method in study mathematics. The steps of mathematical research consists of some step that can you do. First, in depth study references, then identify and formulate the problems. After that, develop method of research. And then process of research. Next is finding, then you can publish it to Journal.