Math is more like an endurance race than an athletic race. It’s a long, slow, and steady process and occasionally, there are moments of breaking through. However, every once in a while, we have the famed “Eureka” moments, those small lines of numbers and letters that change the course of science forever. Here are a few of the most well-known equations that date from the time of the ancient Greeks to modern physical science.
Pythagora’s Theorem (530 BC)
This is one of the foundational pillars of every geometry and mathematics. In a right triangular the hypotenuse’s square (the side that is opposite to that of the angle) is equal to the total squares of the two other sides. The idea is usually believed to be the work of Pythagoras, the Greek mathematician Pythagoras however there are some indications that Babylonian mathematicians knew the formula. It’s also quite likely that the theorem was widely known to people however he was the first to demonstrate the theory.
The logarithms
Logarithms first became known by John Napier in 1614, in a book titled Mirifici Logarithmorum Canon is Descriptio ( Description of the amazing rule of Logarithms) which is a fitting title. Logarithms are exponents that indicate the power to which the base has to be raised in order to generate the specified number.
y = bx exponential form
x islog in y logarithmic form
It is the logarithm for y the base b.
Log the number of represents the amount which we must raise b in order to achieve y.
We’re expressing x in terms of y.
Examples
x = logb y = logb
x =log 2 8
This is the logarithm that adds 8 times 2 is the logarithm of. This is the exponent to which 2 has to be increased in order to arrive at 8. We are aware the formula: 2(2)(2) is 8. Therefore x = 3.
x =log 6 36
This is the logarithm that converts 36 to base 6. The exponent is by which 6 has to be increased to obtain 36. We are aware that 6(6) is 36. Therefore x = 2.
x =log 10 10,000
This is the logarithm that adds 10,000 divided by 10 represents the logarithm of 10,000. It is the expression to 10, which 10 has to be raised in order to reach 10,000. We are aware that 10(10)(10)(10) equals 10,000. Therefore x = 4.
log b b = 1
The logarithm of any number that is to the same base equals 1.
x = log 11 11
This refers to the logarithm 11 times 11.11 is the basis 11. The exponent is on which 11 must be increased in order to arrive at 11. We are aware the formula 1 (1) is 11. Therefore x = 1.
log b 1 = 0
The logarithm 1 always equals the number 0.
Any number could be used as b, the basis
Calculus
A few mathematical fields have had an impact on calculus. It was developed in the 17th century in the 17th century by Isaac Newton and Gottfried Wilhelm Leibniz, the calculus concept is used extensively in engineering, science, and economics. Calculus typically concentrates on tiny amounts, especially extremely small ones. Calculus allows these numbers to be considered real numbers even though they’re technically infinitely tiny.
To simplify the concept the integration shown above could be described as measuring the area of the curve, as defined by an equation.
The Law of Gravity
When we talk about Newton the man who invented gravity, he also is “responsible” for one of the most famous and stunning equations The law of gravity.
The law essentially describes how two bodies of mass that are m1 and 2 are attracted by each opposite. The force (F1 F1) is inversely proportional to the size of distance ( r). The sole remaining factor, G, is an acceleration constant. The exact nature of this constant is still unclear.
Click Here Also for a complex fraction.
General Relativity
Over the course of nearly two centuries, Newton’s law shaped the level of our knowledge of mechanics. Einstein’s work during the 20th century brought things to a new stage — these two accomplishments stand on the top of the heap in the realm of physics.
General relativity is in essence the geometric theory of gravitation that extends Newton’s theories to give a complete definition of gravity, which is a mathematical property of time and space — also known as spacetime. Particularly, Einstein showed not only that there exists something called “spacetime” merging the three dimensions of space with the fourth dimension, time. But also proved that this spacetime is curved due to gravity, with the curvature being directly connected to energy as well as the momentum of whatever radiation or matter is in the space.
Complex numbers
An Italian mathematics professor Gerolamo Cardano was the first person to introduce complex numbers. He called them “fictitious” at the time. However, the mathematical concept in the concept of “i” as the imaginary number that represents one’s square root has been believed to be the work of Leonhard Euler who was one of the greatest mathematicians as well as scientists in the course of history of mankind.
Complex numbers are numbers that aren’t real however they are useful in a variety of calculations. They comprise numbers that have an actual part (the numbers we’ve come to know) as well as an imaginary component (the i The information here is a representation) and can be used across a variety of fields, such as biology, chemistry, physics, and electrical engineering, economics and statistics.
Maxwell’s Equations
In essence, the Maxwell equations are to electromagnetism the same way Newton’s law applies to mechanical principles. They provide a mathematical basis for classical electromagnetism and classical optics and electronic circuits. They are used extensively in the exact device you’re reading this article on and, in general, all electronic devices.
Maxwell’s laws explain how magnetic and electric fields are created through currents, charges, and variations in the fields. One of the most important breakthroughs was the discovery that magnetic and electric fields travel with the velocity of light.
