Mathematical Research

HENDRA LISTYA KURNIAWAN
MATEMATIKA SWADAYA 08
08305144014

A.) Reference
Reference is the cornerstone of research because many sources we can use to search for references. With many references we will get a lot of material to make a study. We can seek a reference from various sources, for example we can use books that relate to what we'll use as research material, but that we also can browse the internet to get all the information that will be used as research material.

B.) English for Mathematics Research
In building a new system of mathematics that we need to know the mathematical research into several aspects that must be understood and met. In a mathematical system that must be met include:
1.) Describes the existing definition.
2.) Explaining the axioms that are used.
3.) Explaining the theory or the theorem is the basis of mathematical research.
4.) Explain the rules and procedures in Mathematika Research.

C.) Factors supporting
Many supporting factors which are essential in mathematical research, include:
a.) the mathematical knowledge possessed
b) Experience in developing mathematical
c) Philosophy of mathematics that have
d) Knowledge of the history of mathematics
In this case the most famous is the story of Godel's incompleteness theorem
1. Theorem: Each recursively enumerable language of arithmetic.
Arithmetic formulas much larger class than recursively enumerable classes. In fact, all the language that has proven to be decided or recognized in this book, the arithmetic. The only example of nonarithmetical language encountered so far is the set of true formulas in arithmetic.
2. Theorem: For any reasonable method of provability, the language of arithmetic formula proved enumerable (and so identified).
3. Theorem: true arithmetic formula language is not even recognized.
Godel's incompleteness theorem states that if there is a complete system of mathematics that this system would not be consistent, and vice versa if the system is consistent so that the system would not be complete or cover all the theories.
d.) Step-by-step mathematical research
To build a mathematical research requires a variety of measures, including:
1.) Indepth studies reference
Step to take is to find many references to reinforce the basic theory has been used in the study of mathematics.
2.) Identifying and defining problems
Identify and formulate the problem is a step we have to do when we can find a reference series of very young to process what we get.
3.) Develop mathematical research methods
The next step is to develop existing research methods to menvariasikan so something is not there an update monotonous.
4.) Process of mathematical research
In this case doing the actual research process is to perform data collection, hypothesis formulation, implementation of mathematical research to test hypotheses and perform calculations to conclude that ultimately makes the publication of mathematics research has been conducted.