Bad at maths? Do you get urticaria just by looking at mathematical formulae? I would like to talk about the advantages of mathematics from a humanities perspective to those who are allergic ٩(๑❛ᴗ❛๑)۶
Maths experience : about 2 years (2021/06 ~ 2023/03 (at the time of writing))
I have studied most of the areas of mathematics that a science student would study :
In order of good at
Analysis (probability statistics > calculus) > Algebra (linear algebra) > Geometry (sets, topological space theory)
Why I started learning mathematics : it was one of the skill sets required for a data scientist.
The following is what we utilized to create this article (*ﾟ∀ﾟ*)
- Reasons for creating this article
- What I have learnt from Maths & benefits of learning Maths
- Recommended maths Youtube channels
Reasons for creating this article
I want to change your values that assumes that maths is difficult.
If you recognize it difficult, you interpret it as difficult and move away from it. If you recognize maths difficult, you will not learn maths-related content on your own, except under the influence of a coercive environment. That difficulty is not limited to only mathematics.
In this article I hope to change your interpretation (thinking) of that.
By changing your interpretation (thinking), your feelings and behaviors towards the subject you are not good at will also change.
You will also realize that mathematics can give you various “insights” and “perspectives on things”.
What I have learnt from Maths & benefits of learning Maths
What I learnt from Maths -> The importance of premises
Different premises lead to different results (conclusions)
Monty Hall problem
There are three closed doors in front of the player, behind one door is a prize new car and behind two doors is a goat, meaning it is a miss. Players get a new car if he/she opens the door of the new car. After the player has chosen one door, the host, Monty, opens one of the remaining doors with a goat to reveal the goat.
Players are now told that they may change their initial choice of door to any of the remaining unopened doors. Should the player change the door here?
In her column ‘Marilyn’s Got You’, published 9 September 1990 and serialised by Marilyn Boss Savant in the news magazine Parade, she answered the above reader-submitted question: ‘The correct answer is ‘to change the door’. Because if you change the door, you double your chances of winning the prize”. Immediately afterwards, the question was flooded with about 10,000 submissions from readers saying that her answer was wrong, and the question became the subject of a huge debate.
Source: wikipedia, the free encyclopaedia
What premises were made for the ↑ result?
Let’s use Bayes’ theorem to figure it out.
( Don’t run away~ Take a look at it once (°▽°) )
↓ You can skip this part !!!
Advantages of learning mathematics -> Gives logic to our thinking
It enables you to think logically and probabilistically.
For example, consider a probabilistic approximation for a person who wants to marry a man of 180 cm
Find the probability of winning a rare character in a social game.
This probability of winning follows the Napier’s constant.
You can find an explanation of this on the recommended maths Youtube channel below.
Maths is stating the obvious
I believe that maths is not scary and anyone can do it. You may all think that mathematics is difficult. In fact, mathematics can be difficult. But mathematics is often about very ordinary things. It’s like if you wanted to describe natural phenomena or things that are natural, mathematics would be suitable.
So I think that mathematics is the study of finding out how to express natural phenomena and natural things with numbers and itself. In other words, it is philosophy. Mathematics is the study of numbers in philosophy. If the concept of numbers enters into what you usually think about, it becomes mathematics.
For example, if you think in terms of probability theory, the dice rolls from 1 to 6, so once you roll the dice, the probability of getting a certain roll is 1/6. This is normal. But this requires the premise that the dice are not skewed. There may be other assumptions to achieve this result, but you can understand it intuitively.
If you can read the symbols, one day you will understand them and be able to utilize them
The important thing in mathematics is to understand what you are doing. In other words, if you can read the formulas (math’s letters), that’s good at first. If you think about linguistics, you can get an idea of what it is like to learn English as a second language. This is true not only for English, but also for Korean, Chinese, Spanish, French, etc.
The reason for learning from letters as a second language is simply that if you can’t read it, you can’t understand it. Of course, there are some people who memorize letters by sound alone, but in general, by learning the letters and repeatedly connecting the letters with sounds, you can understand and memorize the letters by assigning meaning to them.
In the same way, mathematical symbols have their own sounds and meanings.
Σ -> sigma
ε -> epsilon
If you can read it, you will surely understand it one day. If you understand it, you will be able to use it through repetitive learning. Learning is basically repetition.
From what do you start first?
Mathematics includes the following areas
Analysis, which studies derivatives and integrals (lim, ∮ and so on)
Algebra (i, N, Z), which studies how to solve equations by replacing numbers with letters
Geometry, which studies the properties of figures (e.g. π, sin, cos, tan).
None of these areas of mathematics are independent and are closely related to each other.
I personally recommend probability statistics (analysis). This is because the concept of probability is easy to apply in everyday life. For example, from games such as poker, splender and colonist, you will be able to decipher statistics such as the lottery or the average income of the Japanese, or even predict the future to a certain extent.
Recommended maths Youtube channels
I basically learnt maths in Japanese. So I cannot present any useful youtube channel. Sorry guys m(_ _)m