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Dubai

Presentation Mathematicians And Their Contributions

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Published in: Mathematics
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Details about the mathematicians - Bhaskaracharya, Srinivasa Ramanuja, Euclid and Leonhard Euler. Their contributions are also included.

Sumayya H / Dubai

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Qualification: B.Ed (pursuing : 2020 - 2022), MSc Mathematics

Teaches: Maths, Mathematics

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  2. BHASKARACHARYA
  3. BHASKARACHARYA Bhaskaracharya lived between Il 14-1185 AD in Bijapur, Mysore state. Bhaskar has been the most elegant and creative mathematicians India ever produced. He represented the peaks of mathematical knowledge in the 12th century and was the head of the astronomical observatory at Ujjain, the leading mathematical centre of ancient India. Bhaskara's family belonged to Deshastha Brahmin community, which served as court scholars at Kings forts. He learned Mathematics from his father Maheswara, an astrologer.
  4. CONTRIBUTIONS TO MATHEMATICS Bhaskaracharya (also called Bhaskara Il) wrote Siddhanta Siromani in 1100 AD is divided in to 4 parts namely Lilavati, Bijaganita, Goladhyaya and Grahaganita. He was the first to declare that any number divided by zero is infinity and that the sum of any number of infinity is infinity. He introduces cyclic method to solve algebraic expressions. He can also be called the founder of differential calculus. He gave an example to "Differential coefficient". He also gave the basic idea to Rolle's theorem. He has given a method for deriving sine for angles of every degree. He has also given some contributions on series, permutations, linear and quadratic equations. A cyclic Chakravala method for solving indeterminate equations of the form ax + bx + c = y and the first general method for finding the solutions of the problem x — ny— I (so called "Pell's equation" ) was given by Bhaskara Il.
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  6. SRINIVASA RAMANUJAN Srinivasa Ramanujan was born on 23rd December 1887 at Erode, Tamilnadu. He was an Indian mathematician and autodidact who, with almost no formal training in pure mathematics, made extraordinary contributions to mathematics.
  7. CONTRIBUTIONS TO MATHEMATICS Partition of numbers, magic square, friendly numbers, prime numbers etc. are some of the discoveries of Ramanujan. His work has thrown light on divergent series, hyper geometric series, continued fraction and definite integral. Partition function, Ecliptic functions, Theory of numbers, Fractional differentiation and Composite numbers are some of his contributions. 1729 is a famous Ramanujan number. It is the smaller number which can be expressed as the sum of 2 cubes in two different ways- He investigated the series In) and calculated Euler's constant to 15 decimal places. He discovered a number of remarkable identities that imply divisibility properties of the partition function. He gave a meaning to Eulerian second integral for all values of n (negative, positive, fractional). Goldbach's conjecture is one of the important illustrations of his contribution towards the proof of the conjecture. The statement is every even integer greater than two is the sum of two primes, that is, 6=3+3.
  8. EUCLID
  9. EUCLID Euclid is known as the father of geometry. He believed to have been born in Athens in 300 BC. Geometry was the centre of attraction for Euclid. In his lifetime, he pursued almost all the discoveries in geometry and also made valuable innovatives. After compiling all these elementary knowledge about geometry he wrote a book of his own with the title "Elements". He died in 275 BC.
  10. CONTRIBUTIONS TO MATHEMATICS Euclidean geometry states that the sum of the angles of a triangle is 1800. He formulated a method to find out the H.C.F. He gave a proof that prime number are infinite. It was Euclid who had first proved as a transcendental number. Euclid states the following: It is possible to draw a straight line from any point to any point. It is possible to extend a finite straight line continuously in a straight line. It is possible to create a circle with any centre and radius. All right angles are equal to one another. If a straight line falling on two straight lines makes the interior angle on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which the angles are less than two right angles. Things equal to the same thing are equal. If equals are added to equals, the wholes are equal. If equals are subtracted from equals, the remainders are equal. Things that coincide with one another are equal. The whole is greater than the part.
  11. LEONHARD EULER
  12. LEONHARD EULER Leonhard Euler was born on 15 April 1707 at Basel, Switzerland. He was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who made important and influential discoveries in many branches of mathematics. He is also known for his work in mechanics, fluid dynamics, optics, astronomy and music theory. He died in 18 September 1783.
  13. CONTRIBUTIONS TO MATHEMATICS The concept of a function as we use today was introduced by him. He was the first mathematician to write f(x) to denote function. He also introduced the modern notation for the trigonometric functions, the letter e for the base of the natural logarithm, the Greek letter for summations and the letter i to denote the imaginary unit. Euler is the only mathematician to have two numbers named after him: the important Euler's number in calculus, e, approximately equal to 2.71828, and the Euler - Mascheroni constant y (gamma) sometimes referred to as just "Euler's constant", approximately equal to 0.57721. The use of Greek letter H to denote the ratio of a circle's circumference to its diameter was also popularized by Euler, although it originated with Welsh mathematician William Jones. He discovered a formula connecting the relation between exponential function and trigonometric function which is known as Euler's formula etx = cos x + i sin x etX+1=O

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