Non-Euclidean geometry is any form of geometry that is based on axioms‚ or postulates‚ different from those of Euclidean geometry. These geometries were developed by mathematicians to find a way to prove Euclid’s fifth postulate as a theorem using his other four postulates. They were not accepted until around the nineteenth century. These geometries are based on a curved plane‚ whether it is elliptic or hyperbolic. There are no parallel lines in non-Euclidean geometry‚ and the angles of triangles
Premium Geometry Euclidean geometry
logical steps but the outcome may not be reliable for some extent. If the moral problem can be solve by using the algorithm‚ logically‚ there are only two approaches that enable it which is by the professional mathematician or by a computer system. First‚ if we talk about the professional mathematician‚ they are the experts and at the same time as a consultant that can relates most of anything with numbers and algorithms. Thus‚ with the current life that full of moral issues‚ they might come out with solution
Premium Critical thinking Mathematics Algorithm
142857 × 3 = 42857 1 MATHEMATICS : Mathematics is the abstract study of topics such as quantity (numbers)‚ structure‚ space‚ and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena‚ then mathematical reasoning can provide
Premium Mathematics Names of large numbers
are therefore forced to rely extensively on the Euclidean Summary of Proclus. This contains an outline of the development of Greek geometry from early times until Euclid (Allen‚ 1997). Thales is often considered to be one of the first Greek mathematicians. The proposition known as the “Theorem of Thales” states‚ “The diameter of a circle always subtends a right angle to any point on the circle” (Thomas‚ 1991‚ p. 119). There are few primary sources that are able to describe early Greek Mathematics
Premium Euclidean geometry Geometry Euclid
Luis Puga Trig. Ms.Candidato 2/20/12 The Pascal’s Triangle The Pascal’s Triangle is a triangular array of the binomial coefficients. The system after French mathematician Blaise Pascal. The set of numbers that form Pascal’s triangle were known before Pascal. However‚ Pascal developed many uses of it and was the first one to organize all the information together in his treatise‚ Traité du triangle arithmétique (1653). The numbers originally arose from Hindu studies of combinatorics and binomial
Premium Fibonacci number Blaise Pascal
Rogers–Ramanujan identities Ramanujan’s master theorem | Influences | G. H. Hardy | Signature | Srinivasa Ramanujan Tamil: ஸ்ரீனிவாஸ ராமானுஜன் (ஐயங்கார்) FRS ( pronunciation (help·info)) (22 December 1887 – 26 April 1920) was an Indian mathematician and autodidact who‚ with almost no formal training in pure mathematics‚ made extraordinary contributions to mathematical analysis‚ number theory‚ infinite series‚ and continued fractions. Living in India with no access to the larger mathematical
Premium Srinivasa Ramanujan
does not realize the history associated with the symbol‚ which not only spans throughout the centuries but throughout the millenniums. The Babylonians‚ Egyptians‚ Archimedes of Syracuse‚ Leonardo of Pisa‚ Francois Viete‚ Leonhard Euler‚ Asian mathematicians such as Liu Hiu‚ Tsu Ch’ung-Chih‚ Arya Bhatta‚ Gottfried Leibniz‚ Isaac Newton‚ William Jones‚ John Machin. George Buffon and Srinivasa Ramanujan‚ have all played a role in the enriched past of this important mathematical symbol. The ancient
Premium
algebra in the study of a structure that does not belong to algebra. For example algebra of infinite series may denote the methods for computing with series without using the notions of infinite summation‚ limits andconvergence. The Hellenistic mathematician Diophantus has traditionally been known as "the father of algebra"[77][78] but debate now exists as to whether or not Al-Khwarizmi deserves this title instead.[77]Those who support Diophantus point to the fact that the algebra found in Al-Jabr
Premium Mathematics
multiply and divide. In 1642 French Philosopher‚ mathematician and physicist Blaise Pascal invented a machine that added and subtracted automatically carrying and borrowing digits from column to column. In the early 19th century French inventor Joseph Marie Jacquard devised a special type of computer called the silk loom. It used punched cards to program patterns that helped the loom create woven fabrics. In the early 1820’s mathematician and scientist Charles Babbage designed a mechanical
Free Computer Integrated circuit
throughout different aspects of life after being discovered during the ancient times. About two to three thousand years ago‚ the Golden Ratio was first recognized and made use by the ancient mathematicians in Egypt. The golden ratio was introduced by its frequent use in geometry. An ancient mathematician‚ sculptor‚ and architect named Phidias‚ who used the golden ratio to make sculptures‚ discovered it. He lived from sometime around 490 to 430 BC. None of his original works exist‚ however he was
Premium Golden ratio