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The Life of the Father of Mathematics- Archimedes
Archimedes was a Greek mathematician who flourished from 287 to 212 B.C. He found mathematical problems very intriguing. So much so that he scribbled math equations and plotted graphs on the ground and even on his stomach. Let’s read more about the man known today as the father of mathematics.
He was born in Syracuse, a Greek colony at the time. Archimedes’ father, Phidias, was an astronomer, and he most likely instilled in his son a love for arithmetic and science.
His family also encouraged him to pursue formal education. This was the reason for his enrollment in Egypt’s School of Mathematics. Archimedes spent most of his life serving King Hiero II of Syracuse. He helped the king with mathematical problems and devised new strategies for troops.
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Archimedes’ Principle
The most well-known tale about Archimedes is of him inventing a method for measuring the volume of an oddly shaped item-
According to Vitruvius, Archimedes was tasked with verifying whether the goldsmith had used silver instead of gold. When a votive crown for a temple was made for King Hiero II of Syracuse, who had given the pure gold to be used, he couldn’t melt it down into a regular-shaped body to calculate its density because he didn’t want to destroy the crown.
A little more about the principle
So one day, while bathing, Archimedes saw that the water level in the tub rose. This was when he recognized that this effect could determine the volume of the crown while bathing.
For practical purposes, water is incompressible. Thus, the buried crown would displace an amount of water equal to its volume. By dividing the crown’s mass by the volume of water displaced, we find the crown’s density. If they introduced less dense metals, the density would be lower than gold.
The tale of the golden crown does not occur in any of Archimedes’ recorded works. The method’s viability is questioned for the precision necessary for measuring water displacement. Archimedes may have sought a solution based on the notion known as Archimedes’ principle in hydrostatics. However, he discusses this in his work On Floating Bodies.
Mathematical Innovations
His proclivity for solving mathematical difficulties led him to create some of the foundational mathematical principles. As he called it, the “fatigue technique” was one of his fundamental innovations. Using this method, he could determine the areas of shapes, including circles. He could also quantify the value of pi.
Additionally, Archimedes expanded on the “technique of exhaustion.” It is to measure parabolas and calculate the relationship between spheres and cylinders. Archimedes was one of the first mathematicians to grasp the concept of infinity. Besides, he was also a ‘prime number’ specialist.
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Invention and Name
Because of the Archimedes screw, many people are familiar with Archimedes’ name. Thanks to this technique, water can now flow upwards! Archimedes’ screw is made of a hollow cylinder and a hollow spiral, which can be inside or outside the cylinder. When the screw is spun, the water goes from a lower to a higher plane.
Archimedes’ screw was first employed to empty the water of a ship. But it now has a variety of modern applications. Farmers in dry places use it to irrigate their crops, and wastewater treatment plants use it to transport water from one location to another.
Death of the Father of Mathematics- Archimedes
According to the myth, the soldier killed Archimedes because he mistook his instruments for weapons or gold. However, other stories claim the soldier became frustrated while waiting for Archimedes to solve the issue he was working on.
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Father of Modern Mathematics – Descartes
Picture this: It’s the early 1600s, and a brilliant young man named René Descartes is about to turn the world of philosophy and mathematics upside down. Born in March 1596, this French thinker would become someone we now call “the founder of modern philosophy” – but trust me, he was much more than just another guy with big ideas.
You might recognize Descartes from your high school math class – he’s the one who gave us the Cartesian coordinate system (you know, those x and y axes we all struggled with). But that was just the tip of the iceberg. This mathematical breakthrough would later become crucial for developing calculus and changing how we understand space and numbers. Descartes, sometimes called the founder of modern philosophy and the Father of Modern Mathematics, ranks as one of the most important and influential thinkers in modern Western history.
Here’s where it gets interesting. Imagine being so determined to find the truth that you doubt everything you know. That’s precisely what Descartes did. He devised “Methodological Skepticism” – fancy words for “question absolutely everything.” Descartes posed a fascinating question: How do you know you’re not dreaming now? Think about it – everything feels real in dreams, but none exists. He even wondered if some super-powerful “evil genius” might be tricking us about everything we think we know. Pretty mind-bending stuff, right?
After doubting everything possible, Descartes hit upon one thing he couldn’t doubt: his existence. Even if everything else was an illusion, he had to exist to be doing all this thinking. This led to his famous phrase “cogito ergo sum” (I think, therefore I am). It’s the most famous philosophical one-liner in history! What’s truly amazing is how relevant his ideas still are. In an age of “fake news” and virtual reality, his questions about what we can know for particular feel more critical than ever. Descartes concludes:
“Thus what I thought I had seen with my eyes, I grasped solely with the faculty of judgment in my mind.”
Legacies in Mathematics and Science
Sir Isaac Newton and Carl Friedrich Gauss regarded Archimedes as one of history’s most important and influential mathematicians. There are several memorials to Archimedes in the fields of math and science, such as –
- Astronomers named a crater, a mountain range on the moon, and an asteroid after him.
- The International Mathematical Union awards the Fields Medal, which features Archimedes.
- People regard Archimedes as the greatest mathematician of antiquity.
- Renowned British Eric Temple Bell wrote a list of the three greatest mathematicians in all history, including Archimedes. The other two usually associated with him are Newton and Gauss. “Some, considering the relative wealth or poverty of mathematics and physical science in the respective ages in which these giants lived, and estimating their achievements against the background of their times, would put Archimedes first.”
- Reviel Netz, a Stanford University Suppes Professor of Greek Mathematics and Astronomy and an authority on Archimedes, noted, ” And so since Archimedes led more than anyone else to the formation of the calculus and since he was the pioneer of the application of mathematics to the physical world, it turns out that Western science is but a series of footnotes to Archimedes. Thus, it turns out that Archimedes is the most important scientist who ever lived”.
- Galileo lauded Archimedes, referring to him as a “superhuman” and “my master.”
- On the other hand, Huygens said, “Archimedes is comparable to no one” and based his work on him. “He who understands Archimedes and Apollonius will less admire the achievements of subsequent eras,” Leibniz observed.
- Archimedes and Newton were Gauss’ heroes, and Moritz Cantor, who studied under him at the University of Göttingen, said he once said in the discussion that “there had only been three epoch-making mathematicians: Archimedes, Newton, and Eisenstein.”
Key Takeaways
- Archimedes committed his life to discovering several mathematical & scientific concepts, methods, and procedures.
- People still use his innovations and ideas today, even though he is no longer among us.
- His principles and ideas will continue to inspire future generations of scientists.
- He was rightly called the “Father of Mathematics” for his achievements.
- Without Archimedes’ invaluable contribution, science would not have evolved as far as it has in the present world.
- His enthusiasm for science and mathematics changed and inspired future generations.
- His contributions to science and mathematics through many discoveries and breakthroughs are vital.
- Today’s scientists follow in the footsteps of Archimedes for his contributions to society and for bringing honor to the country.
We hope you enjoyed this blog about the father of mathematics and found it informative. Don’t forget to comment below and share your thoughts! You can also get in touch with us if you have any doubts.
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FAQs
Ques 1: What is the modern application of Archimedes’ math?
Answer 1: People use the Archimedes screw in plastic reforming machines, die-casting machines, and injection molding equipment, among other things. The fast-rotating screws that assist in water pumping can also generate power.
Ques 2: What was Archimedes’ newfound discovery impact?
Answer 2: He devised a method for expressing vast amounts of data. Archimedes discovered key theorems about the center of gravity of planar figures and solids in mechanics. Archimedes’ principle, his most famous theorem, determines the weight of a body immersed in a liquid.
Ques 3: Did Archimedes experiment with light?
Answer 3: According to myths, Archimedes’ mirrors elevated the warmth of the ships to the point that they caught fire by focusing on the sun’s beams. While a concave mirror in one hand may focus sunlight on lighting a paper in the other, burning a faraway wooden ship would necessitate an impractically enormous mirror.