Mathematics Is That Of Pi ( Π )

There was an unexpected explosion in the math and science world in the 17th century across Europe, known as the Age of Reasoning. Scientists such as Galileo, Brahe and Kepler continued to increase our knowledge on mathematics and science, especially the solar system which led to Kepler’s laws of planetary motion. Isaac Newton also discovered the laws of physics explaining Kepler’s Laws, and brought together the concepts now known as calculus. The invention of the logarithm by John Napier contributed to the advances of science and astronomy and was one of the most significant developments of this time. Rene Descartes development of analytical geometry and Cartesian coordinates allowed the orbits of the planets to be plotted. Other mathematicians such as Fermat and Pascal formulated theorems which extended our knowledge on number theory. Pascal is most famous for his Pascal triangle even though similar figures had been done by the Chinese and Persian mathematicians before him. Newton and Leibniz revolutionized mathematics by developing infinitesimal calculus. Much more credit should be given to many other mathematicians at this time, but as said before, this was a time of severe increase in mathematics and these are only a few of the most important discoveries. (15)

The real number system consists of five subsets of numbers (Blitzer, 2013). The first subset is natural numbers; natural numbers consist of positive counting numbers not including zero. The second subset is whole numbers; whole numbers consist of zero and natural numbers. The third subset is integers; integers are positive and negative whole numbers, as well as zero. The fourth subset is rational numbers; rational numbers are numbers that can be written in fraction form. The fifth and last subset is irrational numbers; irrational numbers are numbers that are not a perfect square, do not have a repeating or terminating decimal, and are not included in the whole numbers subset (Blitzer, 2013). Rational and irrational numbers are often the most difficult to understand out of these 5 subsets of real numbers. Simply put, rational numbers are any numbers that can be re-written as a simple fraction, and if a number cannot be defined as rational then it is defined as irrational. For example, the number 7 is a rational number because it can be re-written as , which is a simple fraction. The number 2.5 is also defined as rational because it can be re-written as , which, again, is a simple fraction. However, if the number π were defined, it would have to be irrational since it has neither a repeating decimal nor a terminating decimal, and cannot be written as a simple fraction.

Trigonometry has been used for thousands of years, but many don’t know where it all began and originated. There were many individuals that contributed to the development of this area of study, which has created the official study of the relations of the sides and angles of triangles and the relevant functions of any angles. As a Greek astronomer, geographer, and mathematician, Hipparchus of Rhodes is known as the person that laid the framework for trigonometry and is famous for his incidental discovery of precession of the equinoxes.

Hipparchus was a greek astronomer, geographer, and mathematician born 190 B.C. in Nicaea and died in 120 B.C. Rhodes, Rhodes, Greece. Hipparchus is accredited as the inventor of trigonometry because of his discovery of the first table of chords and also because he's the only person with valid data of the discovery and usage of trigonometry. In order to calculate the rising and setting of zodiacal signs, Hipparchus brought to light the division of circles into 360 degrees and the calculation of chords by looking at the triangles (spherical triangles or triangles that made up a circle) differently. Hipparchus experimented putting all triangles to be within a circle and with the three points each touching the

Your whole life, you lived knowing and understanding that 2+2=4. Much like Pi, he lived his whole life learning and living ways that his religions taught him. But when he was on the boat with Richard Parker, he had many moments that he doubted himself surviving. Much like you guys doubted your knowledge you 've known since you were little and grew up knowing.

Pi

Pi is an irrational number that represents the ratio of a circle’s circumference to its diameter. In the Mile of Pi, Numberphile printed out the first million digits of Pi in a continuous long piece of paper, which stretched for over a mile. They printed out pi and rolled it out for one mile to show that there are cycles of repeating sequences within pi and that every number does not appear evenly. Brady Haran also presents some interesting things that could be found along the way. He points out the Feynman Point which has the number 9 repeated six times. He also pointed out the point where Akira Haraguchi (known for memorizing the most digits of pi) memorized up to. When they reached the end of the mile long paper, the last digit was 1 in

As the number 3 represents Pi, it shows that as an individual, he does not enjoy letting his curiosity die because of what society thinks. He possesses the ability to defend his religions, which most young boys would not even consider. The mathematical constant is comprehended as a term that never ends. The number 3.14 has no ending just as Pi's soul will continue to live on until the end. At one point in the novel, when Pi has physically and mentally broken down, Pi convinces himself that this was the end for him (Martel, pg.305). Certain religions believe that the soul is eternal, meaning that even when the physical form of the body is burned, the soul continues to live on. This could potentially be Martel foreshadowing the ending of the novel, stating that because of Pi's strong religious beliefs, his soul, meaning his humanity, will survive his long journey with the assistance of his faiths. Pi's name gives him power and dominance. In Greek mythology, it is said that the letter represents alpha and omega. Although Pi lives in fear of Richard Parker, he later realizes that he could potentially survive on the boat by gaining control over his companion and by creating an alpha-omega relationship (Martel,

Hipparchus of Nicaea changed the world of Math and Science for years after his final breath. Hipparchus is considered to be the father of Trigonometry, a branch of math, and to have study the orbit of the Moon and Sun determining their size and distance from Earth. Hipparchus of Nicaea is said to be one of the greatest scientist of all times. Despite his brilliancy barely anything is known about Hipparchus or his works. The information that we have on Hipparchus is second hand accounts from him many students, the work his students produced especially Almagest by Ptolemy, and the only surviving work that is still left today, Τῶν Ἀράτου καὶ Εὐδόξου φαινομένων ἐξήγησις (Commentary on the Phaenomena of Eudoxus and Aratus).

Once the concept of the Pythagorean Triples was discovered, mathematicians were eager to validate the concept. Euclid created a widely accepted formula in deriving a Pythagorean Triple, which can be proved with the help of the unit circle and algebra.

Pi has been used for the past 250 years. The first zero in pi comes after the first 31 digits. Archimides was the first person to study pi in the ancient times.

Pi is an American movie produced in 1998 directed by Darren Aronofsky, who wrote the film as well. The surrealist psychological movie was written based on the mathematical constant pi. Even the cover photo has a symbol of the Pi, which gives it a mathematical approach. Notably the film has covered various themes through the mathematical concept especially on how the universe relates with mathematics. Religion and mysticism are other themes focused on in the movie.

1. A calculator gives us rational approximations of irrational numbers, so we can “see” that 2*sqrt(3)> π. Explain how a circle inscribed in a regular hexagon allows us to “see” that 2*sqrt(3)> π without any decimal approximations.

even triangle sides dates back further than most people think. It goes all the way back to ancient

I have discovered that Pi and I have some differences and some similarities. I found that we also have a lot in common and a lot of the same problems. I found all this out while reading the book and watching the movie.