Math as the Foundational Pillar for Understanding and Exploration.

Mathematics is a beautiful manifestation of ideas that allows us to simplify complex concepts. It is a subject that empowers us to think critically and creatively, enabling us to explore the world around us and discover new insights. Unlike other issues often taught through rote memorization, math allows us to explore and learn at our own pace.

It is a subject that can be studied by choice rather than force. Indeed, math is simplified for those who want to check it by their own will, not forcefully.

In ancient times, mathematics used as a weapon against each other. This is a mesmerizing idea. If this is a weapon, no one will get it in our world because most people hate math, but why we hate math. We know the abstract concepts of math. We could have learned math more intuitively.

Ok! Now, you may have a question about how mathematics was a weapon in ancient times.

Hold on! Word weapon is used metaphorically, but it is used as a weapon. Mathematics is a powerful tool for developing warfare, economics, and political strategies. People with expertise in math and to complement math have expertise in any other field like economics, politics, or war can solve complex questions or scenarios to win a status or secure a position.

For example, if any complex strategy is developed by a rival in warfare, a person with expertise in math, action, and politics can solve these complex strategies. The oldest infrastructures are giant and robust, and how they are designed always mesmerizes us. They are all built by using math, but not only math. Knowledge of other fields is mandatory.

I share something from my five-year experience. A person who only knows math does not solve problems. Similarly, a person who only knows engineering cannot solve any problem. Math and engineering complement each other. I am not talking about software engineering.

Let’s see! Definition of engineering. As defined by the Engineers Council for Professional Development, “Engineering uses scientific principles to design structures, machines, and manufacturing processes. Engineers construct and operate these creations fully aware of their intended function, economic feasibility, and safety to life and property. By forecasting the behavior of their designs under specific operating conditions, engineers ensure that their projects are functional, safe, and effective.”

How math can be studied intuitively:

Intuitively studying means understanding the concepts fundamentally instead of just learning the formulas and how to solve the problem. Ask why this solution solves this problem. Delve into the realm of why for math. Humans do not originate math. It is always present in the universe; we, as humans, discover it. There is a high possibility, and I always believe, that any other species or creature exists in the universe and they are more advanced than us. The point is we are still in the process, and it’s not a school subject. It’s a significant tool for understanding the universe. Math explains the laws of physics.

I tried to explain 2-dimension to 3-dimension intutively here.

Starting with a square and moving to a cube:

Starting with a square:

Imagine you have a garden of square shape where each side is 2 meters long. To calculate the area of this square garden, we multiply the length of one side with itself `2*2 or2² = 4`.It represents two dimensions we are considering: height and width.

Starting with a cube:

Now consider moving to the third dimension, stacking these squares on each other. The height of this cube is the same as the length and width of each square plot, which is 2 meters.

The volume of a cube is calculated by `length*height*width.` Since each dimension is 2 meters, the volume calculation is `2*2*2 or2³ = 8`. Three represents here three dimensions `length*height*width.`

So, here, `2³` is not just understood as an exponent but as a way to calculate the volume of a three-dimensional shape where each dimension is represented by a 2-meter (base number in this case).

Math in metauniverse:

When I was a child, sky mesmerized me the most. I don’t find anything in this physical universe that inspires me the most than the universe itself. Cosmos is magnificent. It’s gigantic, mesmerizing and inspiring.

Did you know math exists in galaxies, planets, forces, energies, matter, and gravity in everything from war zones to metauniverse (not Facebook’s Meta)?

Did you know that mathematical equations can unlock the mysteries of the universe?

The incredible Newton’s law of gravitation and Kepler’s laws of planetary motion are the ultimate tools to predict the orbits of planets, stars, and galaxies. From the tiniest movements of celestial bodies to the grandest cosmic dances, these equations are the keys to unraveling the secrets of the cosmos!

We can understand the stellar evolution. The birth of stars to nebulae and their demise as white dwarfs, neutron stars, and black holes are described using a mathematical body.