HighFour History of Mathematics Category C: Grades 9 – 10 Round 5 Wednesday, January 20, 2016 The use of calculator is not required. Answer #1: Explanation: Andrew Wiles By accomplishing a partial proof of this conjecture in 1994, Andrew Wiles ultimately succeeded in proving Fermat's Last Theorem, as well as leading the way to a full proof by others of what is now the modularity theorem. Answer #2 Explanation: the Greeks Euclid of Alexandria authored the earliest extant axiomatic presentation of Euclidean geometry and number theory. Many axiomatic systems were developed in the nineteenth century, including non-Euclidean geometry, the foundations of real analysis, Cantor's set theory, Frege's work on foundations, and Hilbert's 'new' use of axiomatic method as a research tool. Answer #3 Explanation: Pythagoras One of the most famous theorems in Mathematics is the Pythagorean Theorem. Pythagoras is also credited with the discovery that the intervals between harmonious musical notes always have whole number ratios. Answer #4 Explanation: Elements Euclid's Elements is a mathematical and geometric treatise consisting of 13 books written by the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. Answer #5 Explanation: Archimedes Archimedes of Syracuse was an Ancient Greek mathematician, physicist, engineer, inventor, and astronomer. Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. HighFour History of Mathematics Category C: Grades 9 – 10 Round 5 Wednesday, January 20, 2016 The use of calculator is not required. Answer #6 Explanation: Brahmagupta Brahmagupta (598AD – 670AD) was an Indian mathematician and astronomer. He is the author of two early works on mathematics and astronomy: the Brāhmasphuṭasiddhānta, a theoretical treatise, and the Khaṇḍakhādyaka, a more practical text. Answer #7 Explanation: Fibonacci Leonardo Bonacci —known as Fibonacci, and also Leonardo of Pisa, Leonardo Pisano Bigollo, Leonardo Fibonacci—was an Italian mathematician, considered to be "the most talented Western mathematician of the Middle Ages". Answer #8 Explanation: Srinivasa Ramanujan The Man Who Knew Infinity: A Life of the Genius Ramanujan is the biography book of the Indian mathematician Srinivasa Ramanujan written in 1991 by Robert Kanigel. Answer #9 Explanation: Pierre de Fermat In addition to his work in number theory, he anticipated the development of calculus to some extent, and his work in this field was invaluable later to Newton and Leibniz. Answer #10 Explanation: Blaise Pascal He is usually remembered today as one of the most important authors of the French Classical Period and one of the greatest masters of French prose, much more than for his contributions to mathematics. HighFour History of Mathematics Category C: Grades 9 – 10 Round 5 Wednesday, January 20, 2016 The use of calculator is not required. Answer #11 Explanation: Madhava Madhava of Sangamagrama, was an Indian mathematician-astronomer from the town of Sangamagrama, Kerala, India. He is considered the founder of the Kerala school of astronomy and mathematics. Answer #12 Explanation: the Bernoulli family When Jacob died, Johann became jealous of his son Daniel and Published Daniel’s book secretly in his name. However, destiny played a part when L’Hospital published Jacob’s book in his own name. Johann’s sons Nicolaus, Daniel and Johann II, and even his grandchildren Jacob II and Johann III, were all accomplished mathematicians and teachers. Answer #13 Explanation: Sexagesimal system Sexagesimal (base 60) is a numeral system with sixty as its base. It originated with the ancient Sumerians in the 3rd millennium BC, it was passed down to the ancient Babylonians, and it is still used — in a modified form — for measuring time, angles, and geographic coordinates. Answer #14 Explanation: Manjul Bhargava Bhargava was awarded the Fields Medal in 2014. According to the International Mathematical Union citation, he was awarded the prize "for developing powerful new methods in the geometry of numbers, which he applied to count rings of small rank and to bound the average rank of elliptic curves." Answer #15 Explanation: Georg Cantor Georg Ferdinand Ludwig Philipp Cantor was a German mathematician. He invented set theory, which has become a fundamental theory in mathematics. David Hilbert once noted: “No one shall expel us from the paradise Georg Cantor created.” HighFour History of Mathematics Category C: Grades 9 – 10 Round 5 Wednesday, January 20, 2016 The use of calculator is not required. Answer #16 Explanation: Trigonometry Trigonometry (from Greek trigōnon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships involving lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. Answer #17 Explanation: Arithmetic Arithmetic or arithmetics (from the Greek ἀριθμός arithmos, "number") is the oldest and most elementary branch of mathematics. It consists of the study of numbers, especially the properties of the traditional operations between them—addition, subtraction, multiplication and division. Answer #18 Explanation: Statistics Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data. In applying statistics to, for example, a scientific, industrial, or societal problem, it is conventional to begin with a statistical population or a statistical model process to be studied. Answer #19 Explanation: Thales Thales, an engineer by trade, was the first of the Seven Sages, or wise men of Ancient Greece. Thales is known as the first Greek philosopher, mathematician and scientist. He founded the geometry of lines, so is given credit for introducing abstract geometry. He was the founder of the Ionian school of philosophy in Miletus, and the teacher of Anaximander. Answer #20 Explanation: The World Sudoku Championship The World Sudoku Championship is an annual international Sudoku competition organized by a member of the World Puzzle Federation. The first one was held in Lucca in 2006. National teams are determined by local affiliates of the World Puzzle Federation.
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