For A Nature Number N The Geometric Sum Formula Asserts Mathematical Foundations of Physics From Vedic Periods: A Study and Ideas for Computer Applications

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Mathematical Foundations of Physics From Vedic Periods: A Study and Ideas for Computer Applications

A deeper insight into the origins of mathematics will prove that mathematics requires the following essential skills: 1. Observation 2. Quantification 3. Derivation 4. Documentation and 5. Modernization, which includes knowledge of computer applications.

We will study in this article how Vedic mathematics used the first four parameters in the science of mathematics, thus paving the way for modernization with the last parameter i.e. computerization.

1. Mathematics as a science of observation since Vedic times

Nature has its own rhythm and order. Intelligent beings, the moment they are born on earth, begin to observe their surroundings and note rhythm and order. Mathematical calculations begin at an early stage of development.

Animals also have the power to judge space and time. Animals such as tigers, cats judge the distance before jumping. This is evident when they catch their prey by jumping far. Most of the time, they don’t fail. Similarly, birds understand distance and time and they travel thousands of kilometers across continents to join their mates.

Therefore, observation, judgment and decision-making are basic instincts of living beings.

But MAN, based on his unique intelligence, is able to write different measuring techniques and bring about uniform systems in space and time. Mathematics is the science of observing the universe around us and measuring things using various techniques. This process starts from the early stages of development, such as the search for food, shelter, etc. Currently, there are many modern techniques of mathematics practiced through the use of computers; However, the basis remains the same.

Vedas are the oldest scriptures in the world and we can see that the foundations of mathematics were laid in those days. Following are some of the observations made by the people of the Vedic age that resulted in accurate mathematical calculations:

* Calculation of gestation period was done correctly. Naturally, this may be one of the very earliest calculations made by humans. Perhaps medical science also began with the study of childbirth and the subsequent care of mother and child.

*The man looked at the earth for a while and looked up at the sky. His keen observations and recording of subtle motions led to the new science of astronomy.

* All calculations relating to the exchange of goods, property, though carried out by barter exchange, had mathematics as the basis.

* Auspicious times were calculated based on almanacs and calendars, which were purely based on arithmetic calculations.

* Agricultural cycles, seasons etc. were all based on rhythms controlled by mathematics.

* The life cycle of different species was also fixed for a specific period depending on the species.

Thus, every activity in the universe is controlled by precise mathematical calculations. The sages (great sages) of ancient times were able to calculate, record and predict the future by their simple observation.

We shall briefly see how the Vedas have dealt with the above subject in the early teachings of mathematics.

2. Quantification (determination of scales).

In very early ages, there were no fixed scales. Humans used their body parts and their movements for measurement. He used steps and palms to measure distances, and then multiplied them by many steps and extended them to distances as large as light years. Similarly, he used the blink of an eye to measure time and extended such small measures to millions of years.

Measurement of time:

As stated in the above paragraph, the normal blink of the human eye is considered as the most basic unit of TIME. A nimesha is the time it takes for a normal human eye to blink once. 15 Nimesh makes a stick. 30 kasthas form one kaal. 20 Kaal is a Muhurta. 30 muhurts are one day of current 24 hours and 30 such days make up a month.

There is one ayaan in six months and 2 ayaans in a year. This is equal to one day for the devas (heavenly subjects or minor gods) in one year. Thus once again let us take 360 ​​days (1 day = 2 Ayana for heavenly subjects). This is a year for them. Such 12,000 years are called 4 yugas (ages). (age). (Krish Yuga, Dreta Yuga, Dwapara Yuga, and Kali Yuga). The age we are living in is the Kaliyuga (Black Age). For Brahma (the creator) one thousand chaturyuga is one day. Manvantra is the fourteenth day of one day of Brahma.

Thus one Manvantra equals: 71 Chaturyugas, 542 Divine Years, 10 Divine Months, 8 Divine Days, 7 Divine Murtas, 4 Divine Kaals and 8 Divine Kastas, and 8.5 Divine Nimesthas.

These calculations were given by a Vedic sage named Parasara; This is equal to 300 million, 6.7 million, 20000 human years + 6 clever ages.

This gigantic scale begins with the simplest measure of the blink of an eye.

These are quantified by actual calculations of the actual movement of the Sun and observing the phases of the Moon. Full moons, new moons, and eclipses were accurately calculated and thus mathematical derivations were predicted in many early Vedic ages. The two ayanas (half years) are called Dakshinayana (North to South motion of the Sun) and Uttarayana (South to North) and the seasons are counted. Various festivals in India depend on these calculations.

Similarly, arithmetic calculations like addition, subtraction, multiplication, division, arithmetic progression, geometric progression, fraction etc. are also given in different terms.

3. Etymologies:

Let us consider the geometric construction of ritual sites.

The Vedas were able to solve mathematical problems in constructing fire altars that have different shapes but occupy the same area. The altars were made of five layers of burnt bricks with the condition that each layer consisted of 200 such bricks and no layer of bricks was uniform on any side layer.

The Sulba formula (easy formula) contains the initial verbal expression of the Pythagorean theorem stated in the following formula. “The diagonal of a rectangle produces both a side and a horizontal”, which is nothing more than the Pythagorean theorem in the beginning. form.

Representing the unknown as “X”:

We know that in mathematics, if two variables in a sum are known and the third is unknown, we name it X and the moment the problem is solved, we remove X and put a known number in its place.

Adi Shankara, the founder of Advaita, a famous Indian philosophy based on Vedic teachings, used this method to explain the mysteries of divinity. Just as X cannot be defined in mathematics, Maya (the principle of illusion) cannot be explained by words. Brahma (God) created this universe using maya (illusion).

The formula is Brahma (God) + X = Universe. Therefore, the unknown entity X = Universe-Brahman.

Adi Shankara gave the concept of illusion to explain this. ie: Brahmanda-Brahma = Illusion (maya). So confusion = X.

The moment this love disappears, the universe becomes one with Brahman. This is the basic teaching of Advaita established by Adi Shankara.

4. Documents:

As already stated, the Vedas were not in written form. Precepts were passed down through generations through practice. However, the Upanishads were later written as explanations of Vedic teachings. The saints have systematically documented them. The Katopanishad is one such Upanishad, written by a young Vedic scholar Nachiket in his argument with Lord Yama (the god of death).

Similarly there are various sutras (formulas) which give calculations for measuring distance, mass, area, volume etc. Any book on Vedic mathematics will be able to give a clear treatment of the above topics. Students with mathematical knowledge are requested to go through them and improve their knowledge based on Vedas.

5. Modernization:

The past may have been AGES, but today is the computer age. Everything is recorded in the computer and computerization has changed the whole outlook of life. But mechanical knowledge has a distinct disadvantage. We can see that telephone numbers should also be recorded in the machine and mentioned from time to time. Modern students have lost their memory. But the students of the Vedic period were able to calculate up to the highest degree of calculation by memory only. Today’s bits, bytes, megabytes and gigabytes are equivalent to Nimeshas and Kastas of Vedic times.

Vedic mathematics is included in the curriculum in some colleges. Students are advised to study and specialize in this aspect of study so that they can master the subject of mathematics through mental strength. By combining this with modern equipment, they can reach new heights in achieving their goals.

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