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Contribution of pythagorious maths
The contribution of Pythagoras
The contribution of Pythagoras
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Before the age of algebra and analytic Geometry there was Pythagoras: Philosopher, well-known Mathematician, scientist, and a religious teacher. In life this famous Greek thinker developed and coined Pythagoreanism, his own branch of education which would set his theorems to become quite important in geometry. Though there is not much known about Pythagoras’s personal life, relative to more recent famous mathematicians, his life and contributions to mathematics are important in developing the field of geology into what it is today.
Pythagoras was born in Samos, Ionia (what is now Greece) around 569 BCE (3). From a young age Pythagoras was well educated and well-traveled. He had various mentors Pherekydes, Thales, and Anaximander who advised
him to study in Egypt when he decided to leave Samos to escape Polycrates rule in 535 BCE (2). One of Pythagoras’ major accomplishments in life grew from his acceptance of priesthood and his learning from his time spent in Egypt learning about Diospolis. From this experience Pythagoras created his own doctrine of metempsychosis which was later called “Pythagoreanism” and had his own brotherhood (1). However he was made prisoner by the King of Persia and sent to Babylon where he finally gained freedom in 520 BC. Pythagoras returned to Samos and began his school called The Semicircle which the leadership of Samos did not accept, and so in 518 BCE Pythagoras moved to Croton, a Greek colony in southern Italy, and founded a new school for his followers. The Pythagorean secret society lived in their own building under the rules of the House Master Pythagoras. The members of the society who lived in the house of the society were called mathematikoi, and consisted of both men and women. They all worked communally on discoveries and theories (2). Due to the strict secrecy among the members of Pythagoras' society, and their communal experience, individuals did not take credit but gave credit to Pythagoras. Eventually the Pythagorean School was burned down and none of Pythagoras’ writings survived. Later on Pythagoras’ followers documented what work they could recall and gave credit to Pythagoras. Some historians believe that theories like the Pythagorean Theorem for right triangles were probably developed later by successors of the Pythagorean School (3). Most sources agree that Pythagoras died around the age of 75 in 495 BC in Metapontum, Lucanium (what is now Italy). However, various other writings place his death between 500 BC and 475 BC. There are various theories as to how Pythagoras died. Some theories claim that Pythagoras died along with his disciples in the temple or that he fled from a mob and was either killed or escaped and starved to death in his escape. At least two of the theories include an instance where Pythagoras refuses to walk across a crop of bean plants (which according to his beliefs were untouchable) in order to escape, which lead to his demise. However beyond his death Pythagoras’ following and legacy continued on.
Aristophanes is believed to have been born in Athens, Greece, in the deme, or township, of
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.
Sophocles was born around 496 B.C. in the rural area of Hippeious Colonus, Attica, near Athens. His father was an wealthy armor manufacturer (“Sophocles”). Sophocles was educated in music, dancing, and athletics.
Archimedes was born in the city of Syracuse on the island of Sicily in 287 BC. He was a mathematician, physicist, astronomer, engineer, inventor, and weapons-designer. Archimedes received his formal education in Alexandria, Egypt which at the time was considered to be the 'intellectual centre' of the world. He was a man both from his time and far ahead of his time.
Johann Carl Friedrich Gauss was a well-known scientist, astronomer, and mathematician from Brunswick, Germany. Born on April 30, 1777, to a father, who was a gardener and brick layer, and an illiterate mother. Gauss was sent to the Collegium Carolinium by the duke of Braunschweig, where he attended from 1792 to 1795. From 1795 to 1798, Carl attended the University of Gottingen. While attending the university, he kept independently rediscovering several important theorems. In 1796, Gauss showed what he was capable of. He was capable of showing that “any regular polygon, each of whose odd factors are distinct Fermat primes, can be constructed by ruler and compass alone,” thereby adding to the work of the Greek mathematicians before him. On March 30 of 1796, the German mathematician discovered a construction of the heptadecagon, and the quadratic reciprocity law on April 8th of the same year. At the end of May 1796, Carl conjectured the prime number theorem. In July of that year he also revealed that every positive integer can be expressed as a sum of at most three triangular numbers. A...
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.
One of the earliest and most influential groups we studied were the Pythagoreans. Due to the fact, that their work was so fundamental to the development of modern science and of renowned Greek philosophy Plato, I though it important to consider them here. This is despite the fact that admittedly they weren’t “astronomers” and although Pythagoras was considered the “leader,” some even question whether or not he existed, and the story is really about his followers, who were a group. The Pythagoreans, were a kind of religious cult with a deep following in Italy. Although, they had this religious aspect, the attempted to address questions of fundamental importance to cosmology, including what is the meaning of the universe, what happens after death
Pythagoras was one of the first philosophers to create the idea that Earth had a north pole and a south pole. His theories were proven to be true.
Archimedes was born in syracuse in 187 BC. he was the son on the astronomer and mathematician Phidias. Not a lot is known of Archimedes early life or family. Some people think that archimedes was related to hiero II, the king of syracuse. In the third century BC Syracuse was a large hub for trade and communication. When in Syracuse as a kid Archimedes became curious and adept. Archimedes learned a lot from his teachers in Syracuse but soon he found there was more knowledge to be found in Egipt. So in 331 BC he traveled to Alexandria, a place of knowledge and scholarship.
Plato was born to an aristocratic family in Athens, Greece. When he was a child his father, Ariston, who was believed to be descended from the early kings of Athens died, and his mother, Perictione married Pyrilampes. As a young man Plato was always interested in political leadership and eventually became a disciple of Socrates. He followed his philosophy and his dialectical style, which is believed to be the search for truth through questions, answers, and additional questions. After witnessing the death of Socrates at the hands of the Athenian democracy in 399 B.C., Plato left Athens and continued to travel to Italy, Sicily, and Egypt. (Internet)
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.
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...
Euclid, also known as Euclid of Alexandria, lived from 323-283 BC. He was a famous Greek mathematician, often referred to as the ‘Father of Geometry”. The dates of his existence were so long ago that the date and place of Euclid’s birth and the date and circumstances of his death are unknown, and only is roughly estimated in proximity to figures mentioned in references around the world. Alexandria was a broad teacher that taught lessons across the world. He taught at Alexandria in Egypt. Euclid’s most well-known work is his treatise on geometry: The Elements. His Elements is one of the most influential works in the history of mathematics, serving as the source textbook for teaching mathematics on different grade levels. His geometry work was used especially from the time of publication until the late 19th and early 20th century Euclid reasoned the principles of what is now called Euclidean geometry, which came from a small set of axioms on the Elements. Euclid was also famous for writing books using the topic on perspective, conic sections, spherical geometry, number theory, and rigor.