Hardy J. E. Littlewood | Known for | Landau–Ramanujan constant Mock theta functions Ramanujan conjecture Ramanujan prime Ramanujan–Soldner constant Ramanujan theta function Ramanujan’s sum Rogers–Ramanujan identities Ramanujan’s master theorem | Influences | G. H. Hardy | HISTORY OF SRINIVASA RAMANUJAN : Srinivasa Ramanujan (22 December 1887 – 26 April 1920) was an Indian mathematician and autodidact who‚ with almost no formal training in pure mathematics‚ made extraordinary contributions
Premium David Hilbert Srinivasa Ramanujan Mathematics
Week One Discussion Questions Compare and contrast a relation and a function. How can you determine when a relation is a function? * -A relation is a set of ordered pairs and a function is the relation of the first component of a pair to the second component of the same pair. * -A relation is a function when a domain value of X only maps to one range value of Y. * Explain how to determine the domain and range of a function. * -A set of ordered pairs have a first component which
Premium Function Mathematics
general theorems in geometry. * He was the first to demonstrate the truth of geometric relationship by showing that it flowed in a logical and orderly fashion from a set of universally accepted axioms called postulates Pythagoras * Founded Pythagoreans composed of two groups‚ the listeners & the mathematicians. They believed that “to become a good mathematician‚ one must first be a good listener. * Discovered Pythagorean Theorem
Premium Mathematics Geometry Pythagorean theorem
pyramids‚ they also learned how to determine they lengths of objects from the Babylonians by using Pythagorean theorem. Building upon what they learned from the Egyptians and Babylonians they found fundamental truths in geometry‚ and from these truths they mad propositions called axioms‚ through deductive reasoning the Greeks would use these axioms to find new theorems that could be proven. These theorems would be used to find solutions of both practical and abstract nature. 2. Thales: Thales of
Premium Mathematics Logic Geometry
Pythagoras is probably best known for his discovery of the Pythagorean Theorem. Not only did the group practice mathematics and religious topics‚ but they also became involved with the politics in Croton. Their involvement in the politics of Croton was not taken too kindly. The people of Croton burned down some of the meeting places of the Pythagorean followers. Killings many of them. with only the young making it out to safety. The Pythagorean order was everywhere suppressed‚ and was never again
Premium Mathematics Pythagorean theorem Geometry
or Kusumapura in 476 CE. There is no clear evidence of the place of birth (Indian Streams Research General‚ September 2012). Aryabhata studied in Kusumapura and stayed there for some time. The evidences from Hindu‚ Buddhist tradition‚ and Bhaskara I (629 CE) recognize Kusumapura as Pataliputra‚ currently known as Patna. Aryabhata was the head of an institution at Kusumapura. The University of Nalanda was in Pataliputra at the time. This university had an astronomical observatory that forces
Premium Earth Planet Astronomy
sum of the area of squares of its adjacent and opposite sides.) Then let’s look at the famous Pythagoras theorem: “The square on the hypotenuse of a right angled triangle is equal to the sum of squares of its sides” The Sulba sutra was written on 12th century B.C. but the Pythagoras theorem was introduced on 6th century B.C‚ 600 years after Sulba sutra. That is‚ most of the works‚ theorems and concepts of mathematics existed in India on its own form even before in other countries. Let’s look at
Premium Pythagorean theorem Mathematics Arithmetic
After choosing a topic randomly‚ students will have 5 minutes to prepare before presenting their explanation for 5 minutes. 1. State the definition of the limit and explain the requirements for a limit to exist. Also‚ explain the 3 main techniques to evaluate limits. (Keywords: limit‚ intend‚ left‚ right‚ general‚ notation‚ 3 requirements‚ NAG‚ table‚ diagrams‚ indeterminate form‚ conjugate‚ factoring‚ substitution) The limit of the function is the height that the function intends to reach
Premium Derivative Calculus
longer or shorter it is makes a difference in the tune of the note. In astronomy‚ he taught that the earth was a sphere‚ and in math he compared the difference between composite and prime numbers‚ discovered irrational numbers‚ and proved the Pythagorean Theorem. This stated that when the two shorter sides in a right triangle were squared and then added‚ it would equal the square of the longest side or hypotenuse. This was known earlier‚ but he was the first one to really prove it was true. He soon
Premium Pythagorean theorem
Greeks. The ancient Greek mathematician Euclid influenced mathematics in a large way after developing the Pythagorean theorem. His theorem (written around 300 B.C.) stated that “If two straight lines cut one another‚ the vertical‚ or opposite‚ angles shall be the same” (Doc. 5). Euclid wrote this theorem to set a base rule to help find the sum of the angles of a triangle. The Pythagorean theorem is still used today in mathematics thanks to Euclid’s contribution to society. Perhaps the most famous
Premium Western culture Ancient Greece Greece