The Ancient Indians had some mathematical achievements. One of their mathematical achievements, which was shown in the Vedic texts, is that they had names for every number up to one billion. The Vedic texts also show that they managed to calculate irrational numbers, such as√3, very accurately (Whitfield, Traditions 42).... ... middle of paper ... ...affect us in numerous ways, such as in architecture, modern mathematics, modern science, the medical world, technology, and much more. Ancient India, China, and Greece all contributed to math and science, however, the Greek achievements influenced us the most. They invented Pythagorean Theorem, calculated the value of pi, discovered atoms, accurately found the size of the Earth, and had much more accomplishments than India or China.
Prime Numbers Prime numbers and their properties were first studied extensively by the ancient Greek mathematicians. The mathematicians of Pythagoras's school (500 BC to 300 BC) were interested in numbers for their mystical and numerological properties. They understood the idea of primality and were interested in perfect and amicable numbers. A perfect number is one whose proper divisors sum to the number itself. e.g.
The Greeks brought a variety of great minds to life, including Thales of Miletus, Archimedes, Apollonius, Euclid, and Democritus. They began using logic to explore new mathematical concepts. Pythagoras of Samos was one of the foremost logical minds of this age. He is the inventor of abstract mathematics, and the founder of the “Pythagoras Theorem”. This theorem is still used today, in modern geometric equations The Hindu / Arabian Period (500A.D.
Encyclopedia Britannica Online. 22 Jan. 2005 < http://search.eb.com/ebi/article?tocId=9310645&query=RAY%20CHARLES&ct= >. Ray Charles: The Official Site. Comp. Chad Hanson, Ira Merrill, and Raenee Robinson.
While not as impactful as the people after him, Heron of Alexandra was one of the first to mention imaginary numbers dating all the way back to the 1st century. Hero of Alexandria was not only a mathematician but an engineer as well and he was considered the greatest experimenter of antiquity at the time. In 50 A.D. he studied the volume of an impossible section of a pyramid, and what it unworkable was the problem √81-114. This problem produces the result √-63, but without any clear understanding in his logic Heron simply wrote √63; this answer might have
Obviously Euclid’s The Elements is by far the most famous mathematical work of classical antiquity, and also has the distinction of being the world’s oldest continuously used mathematical textbook. Very little information is known about the author, beyond knowing the fact he lived in Alexandria around 300 BCE. Subjects of works includes geometry, proportion and number theory. Euclid proved his concepts logically, using definitions, axioms, and postulates. Proclus Diadochus wrote a commentary on Euclid's Elements that kept Euclid's works in circulation.
New York: Springer, 2000. Hofstadter, Douglas R.. Gödel, Escher, Bach: An Eternal Golden Braid. New York: Basic Books, 1975 Narkiewicz, Wladyslaw. The Development of Prime Number Theory: From Euclid to Hardy and Littlewood. Brlin: Springer-Verlag, 2000.
Originally called infinitesimal calculus, meaning to create a solution for calculating objects smaller than any feasible measurement previously known through the use of symbolic manipulation of expressions. Generally accepted, Isaac Newton and Gottfried Leibniz were recognized as the two major inventors and innovators of calculus, but the controversy appeared when both wanted sole credit of the invention of calculus. This paper will display the typical reason of why Newton was the inventor of calculus and Leibniz was the innovator, while both contributed an immense amount of knowledge to the system. 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.
The use of circle to represent zero is usually attributed to Hindu mathematics. Early Indians are also known to be the first to establish the basic mathematical rules for dealing with zero. They had also established the laws that could be used to manipulate and perform calculation on negative numbers, something that was not manifested in unearthed mathematical works of other ancient mathematics. Brahmagupta, a Hindu mathematician, showed that quadratic equations could have two possible solutions and one of which could be negative. In India, there was an era called “the Golden Age of Indian Mathematics.
A Mersenne prime is written in the form of 2p-1. So far, the largest known Mersenne prime is 225,964,951-1, which is the 42nd Mersenne prime. This prime number has 7,816,230 digits! Many number theorists, who study certain properties of integers, have been trying to find formulas to generate primes. They believed that 2p-1 would always generate primes whenever p is prime.