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Contributions of Pythagorus in mathematics
Contribution of pythagoras in mathematician
Who first proved the Pythagorean theorem
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Pythagoras led an interesting life to say the least, but one of the most influential and important aspect of his life was the discovery and study of Pythagorean Theorem. If you’ve gone through almost any level of math you’ve most likely had to use this formula;〖 a〗^2+b^2=c^2. The equation is defined as the “area of the square on the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares of the other two sides.” Although the theorem is believed to be created by Pythagoras had been used by before his time by Native Americans and the Babylonians, but it is believed that he and his students did create the first proof. Pythagoras is also known for creating many theorems and mathematical discoveries such as;
Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.
Greek mathematics began during the 6th century B.C.E. However, we do not know much about why people did mathematics during that time. There are no records of mathematicians’ thoughts about their work, their goals, or their methods (Hodgkin, 40). Regardless of the motivation for pursuing mathematical astronomy, we see some impressive mathematical books written by Hippocrates, Plato, Eudoxus, Euclid, Archimedes, Apollonius, Hipparchus, Heron and Ptolemy. I will argue that Ptolemy was the most integral part of the history of Greek astronomy.
Galileo Galilei was born on February 15, 1564, in Pisa, Italy. He was a mathematics professor who made pioneering observations of nature with long-lasting implications for the study of physics. Galileo constructed a machine that changed everything in astronomy, the telescope, and this supported the Copernican theory. In 1600, Galileo met Marina Gamba, a Venetian woman, who gave him three children. The daughters were Virginia and Livia, and son Vincenzo. But He never married Marina because he feared his illegitimate children would threaten his social standing. He died in Arcetri, Italy, on January 8, 1642.
Pythagoras held that an accurate description of reality could only be expressed in mathematical formulae. “Pythagoras is the great-great-grandfather of the view that the totality of reality can be expressed in terms of mathematical laws” (Palmer 25). Based off of his discovery of a correspondence between harmonious sounds and mathematical ratios, Pythagoras deduced “the music of the spheres”. The music of the spheres was his belief that there was a mathematical harmony in the universe. This was based off of his serendipitous discovery of a correspondence between harmonious sounds and mathematical ratios. Pythagoras’ philosophical speculations follow two metaphysical ideals. First, the universe has an underlying mathematical structure. Secondly the force organizing the cosmos is harmony, not chaos or coincidence (Tubbs 2). The founder of a brotherhood of spiritual seekers Pythagoras was the mo...
...st important scientists in history. It is said that they both shaped the sciences and mathematics that we use and study today. Euclid’s postulates and Archimedes’ calculus are both important fundamentals and tools in mathematics, while discoveries, such Archimedes’ method of using water to measure the volume of an irregularly shaped object, helped shaped all of today’s physics and scientific principles. It is for these reasons that they are remembered for their contributions to the world of mathematics and sciences today, and will continue to be remembered for years to come.
"Geometry has two great treasures; one is the Theorem of Pythagoras; the other, the division of a line into extreme and mean ratio. The first we may compare to a measure of gold, the second we may name a precious jewel."
Pythagoras was one of the first to theorize that nearly all natural phenomenon could be explained mathematically--which accounts, at least to a large degree for physics--and even served as inspiration for much of the work that Plato theorized of modern democracy, as well as a lot of things that he never had time to actually invent. What Made Pythagoras so Weird? Pythagoras had one thing in common with several people who lived until not long ago, such as L. Ron Hubbard, David Koresh, and others: he founded his own
The Pythagoreans had many beliefs involving numbers, the world, and the human body. Some of these beliefs were of the following: everything in life is numbers, numbers have feelings and emotions, the world is a balance of opposites, the soul is immortal and resides in the brain , and symbols have meaning. Everything the Pythagoreans invented was credited to Pythagoras. This included their discovery of the Pythagorean Theorem, which states that the sum of two legs squared is equal to the hypotenuse squared in a right triangle. In addition, the Pythagoreans discovered numbers in music, acoustics, and astronomy.
It's in everything and is everywhere, mathematic, some parts of mathematic were discovered by Ancient Greece. As you might have heard of the Pythagorean Theorem, Pythagoras has discovered this.
Now Pythagoras is looked upon as a great contributor to the field of mathematics, and a mysterious person. The lack of hard-core information on this person is reflected by the small amount of publicity he himself has received. Certainly though, Pythagoras has, and will continue to live on through his theorems as long as they stand the test of time.
Historically speaking, ancient inventors of Greek origin, mathematicians such as Archimedes of Syracuse, and Antiphon the Sophist, were the first to discover the basic elements that translated into what we now understand and have formed into the mathematical branch called calculus. Archimedes used infinite sequences of triangular areas to calculate the area of a parabolic segment, as an example of summation of an infinite series. He also used the Method of Exhaustion, invented by Antiphon, to approximate the area of a circle, as an example of early integration.
Physics began when man first started to study his surroundings. Early applications of physics include the invention of the wheel and of primitive weapons. The people who built Stone Henge had knowledge of physical mechanics in order to move the rocks and place them on top of each other. It was not until during the period of Greek culture that the first systematic treatment of physics started with the use of mechanics. Thales is often said to have been the first scientist, and the first Greek philosopher. He was an astronomer, merchant and mathematician, and after visiting Egypt he is said to have originated the science of deductive geometry. He also discovered theorems of elementary geometry and is said to have correctly predicted an eclipse of the sun. Many of his studies were in astronomy but he also observed static electricity. Phythogoras was a Greek philosopher. He discovered simple numerical ratios relating the musical tones of major consonances, to the length of the strings used in sounding them. The Pythagorean theorem was named after him, although this fundamental statements of deductive geometry was most likely first an idea from Egyptian methods of measurements. With the help of his followers he discovered that the earth was a sphere, but he did not believe it revolved around the sun.
There are many people that contributed to the discovery of irrational numbers. Some of these people include Hippasus of Metapontum, Leonard Euler, Archimedes, and Phidias. Hippasus found the √2. Leonard Euler found the number e. Archimedes found Π. Phidias found the golden ratio. Hippasus found the first irrational number of √2. In the 5th century, he was trying to find the length of the sides of a pentagon. He successfully found the irrational number when he found the hypotenuse of an isosceles right triangle. He is thought to have found this magnificent finding at sea. However, his work is often discounted or not recognized because he was supposedly thrown overboard by fellow shipmates. His work contradicted the Pythagorean mathematics that was already in place. The fundamentals of the Pythagorean mathematics was that number and geometry were not able to be separated (Irrational Number, 2014).
The 17th Century saw Napier, Briggs and others greatly extend the power of mathematics as a calculator science with his discovery of logarithms. Cavalieri made progress towards the calculus with his infinitesimal methods and Descartes added the power of algebraic methods to geometry. Euclid, who lived around 300 BC in Alexandria, first stated his five postulates in his book The Elements that forms the base for all of his later Abu Abd-Allah ibn Musa al’Khwarizmi, was born abo...