Research of Mathematics

Research of Mathematics
We know that in mathematics there is formal mathematics, applied mathematics, and also school mathematics. Now, I will define about each of that.

Formal Mathematics
As we know, mathematics is a system which is deductive and it consist of definitions, axioms, and theorem. In formal mathematics, we must learn calculus, geometry, algebra, number theory, etc.



Applied Mathematics
Applied mathematics is a branch of mathematics that concerns itself with the mathematical techniques typically used in the application of mathematical knowledge to other domains. Historically, applied mathematics consisted principally of applied analysis, most notably differential equations, approximation theory, and applied probability. These areas of mathematics were intimately tied to the development of Newtonian physics, and in fact the distinction between mathematicians and physicists was not sharply drawn before the mid-19th century. Today, the term applied mathematics is used in a broader sense. It includes the classical areas above, as well as other areas that have become increasingly important in applications. Even fields such as number theory that are part of pure mathematics are now important in applications, though they are not generally considered to be part of the field of applied mathematics per se. Sometimes the term applicable mathematics is used to distinguish between the traditional field of applied mathematics and the many more areas of mathematics that are applicable to real-world problems.



School Mathematics
School mathematics is a mathematics that is learn at school. there, we just focus on the mathematics phenomenon.

Mathematics is used to communicate information about a wide range of different subjects. Here are three broad categories:
• Mathematics describes the real world: many areas of mathematics originated with attempts to describe and solve real world phenomena - from measuring farms (geometry) to falling apples (calculus) to gambling (probability). Mathematics is widely used in modern physics and engineering, and has been hugely successful in helping us to understand more about the universe around us from its largest scales (physical cosmology) to its smallest (quantum mechanics). Indeed, the very success of mathematics in this respect has been a source of puzzlement for some philosophers.
• Mathematics describes abstract structures: on the other hand, there are areas of pure mathematics which deal with abstract structures, which have no known physical counterparts at all. However, it is difficult to give any categorical examples here, as even the most abstract structures can be co-opted as models in some branch of physics.
• Mathematics describes mathematics: mathematics can be used reflexively to describe itself. this is an area of mathematics called meta-mathematics.

References
http://en.wikipedia.org/wiki/Applied_mathematics
http://en.wikipedia.org/wiki/Mathematics_as_a_language

My Assignment about problems of mathematics

1. (A=>B)∩(B=>C)<=>(A=>C) is tautological statement, prove!
Answer :
(A=>B)∩(B=>C)<=>(A=>C)
≡(A=> C)<=>(A=>C)
≡B
Because the value is B, so the statement (A=>B)∩(B=>C)<=>(A=>C) is tautology.

2. Find the ratio of x, y, and z from the equation (x+y)/5=(y+z)/6=(z+x)/7 !
Answer :
From that equation, we get
6x+y=5z...(i) 2x+7y=5z...(ii) 6x-7y=z...(iii)
Eliminate x from equation by name (i) and (iii), we get y=1/2 z.
Eliminate y from equation by name (ii) and (iii), we get x=3/4 z.
x : y : z = 3/4 z : 1/2 z : z = 3/4 : 1/2 : 1 = 3 : 2 : 4
So, the ratio of x, y, and z is 3 : 2 : 4.

Number 3, 4, and 5 i forgot the question.

Interest of Mr Marsigit's book

Mathematics for junior high school year VIII which is written by Mr. Marsigit is different from the other mathematics book commonly. This book is presented in bilingual (Indonesian language and English). We can get many advantages by learn this book such as get mathematics knowledge. The students of junior high school year VIII also can increase vocabulary owning to mathematics.
This book is suitable used to the students or teachers of international school standardization and students which want to continue their studies abroad. On the other hand, this book will inspire them to study better.
Not all people like reading book with black and white color. Some prefer like reading full color book. Mathematics junior high school year VIII as a full color book that will stimulate students more interest to study. Talk about the substance, this book explain the substances clearly. In the end of chapter, there is exercise which consist of 30 multiple choices and 10 essays. The purpose is students can apply what has been him learn.

Here is a word, phrase, or sentence fragment in indonesian language which is considered by Narita difficult to translate in English and I helped a little, and I will them.
if you still have difficulty, or not clear, you can see at the address listed at the top of each number.

1. coordinates : Numbers that determine the position of a point.
2. addition : The process of adding two numbers to obraint heir sum.
3. number of tribes and many of.
4. geometric series : A series in which the ratio of each term to the preceding term is a given constant.
5. Arithmetic progression : In mathematics, an arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. For instance, the sequence 3, 5, 7, 9, 11, 13... is an arithmetic progression with common difference 2.

If the initial term of an arithmetic progression is and the common difference of successive members is d, then the nth term of the sequence is given by:

and in general

6.division : A basic arithmetical operation determining how many times one quantity is contained within another.

7. Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all natural numbers. It is done by

• proving that the first statement in the infinite sequence of statements is true, and then
• proving that if any one statement in the infinite sequence of statements is true, then so is the next one

The method can be extended to prove statements about more general well-founded structures, such as trees; this generalization, known as structural induction, is used in mathematical logic and computer science. Indeed, the validity of mathematical induction is logically equivalent to the well-ordering principle.
8. Space diagonal : In a rectangular box or a magic cube, the four space diagonals are the lines that go from a corner of the box or cube, through the center of the box or cube, to the opposite corner. These lines are also called triagonals or volume diagonals.

For the cube to be considered magic, these four lines must sum correctly.

The word triagonal is derived from the fact that as you travel down the line, three coordinates change. The equivalent in a magic square is diagonal, because two coordinates change. In a tesseract it is quadragonal because 4 coordinates change, etc.

introdoction to english 1

assalamu 'alaikum everyone...
i hope you are fine same as me now.
let me introduce my name is Billy Arifa Tengger. i'm 18 years old. i live in blater, a small village in Purbalingga. now i want to tell you about my experience when i got my first english lesson in Yogyakarta State University. Mr Marsigit as the lecture for this lesson give us task to make a formal blog, with a formal photos there, but some students didn't follow his order. when we will study something there are 3 steps to develop our ability. First of all is motivation. the highest is praying to God. The next step is support (behaviour, attitude) ,and then skill. and the last step is knowledge communication. knowledge communication is about how to talk, to write, to discuss, to translate, to reflect, to comment and to understand.
i think thats all, thanks for your attention.