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The beginning of mathematics was primitive man's discovery of counting; adding one and one to make two is pictured on this stamp. Upon seeing two birds, an Egyptian makes the cerebral leap to count them on his fingers. (Detail) This stamp is the first in a set of ten issued by Nicaragua in 1970 which features important mathematical formulas that changed the face of the earth. Besides showing the law, equation, or formula, the name of its originator, and an application, the reverse of each stamp is printed with a brief paragraph in Spanish explaining the significance of the formula and its far-reaching applications in modern life. Presumably the user can ponder this educational message while licking the stamp; whether the recipient would appreciate it or be aware of it is another matter. The illustrations contain a wealth of interesting detail, and the sci-philatelic sleuth can enjoy identifying the many clues and their relationship to the original formula. |
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A well-known theorem in geometry is named after Pythagoras, who flourished in the 6th century BC, and was a teacher in Samos, Babylon, and Egypt: the sum of the squares of the sides of a right triangle equals the square of the hypotenuse. Actually, the so-called Pythagorean triples were known already in Babylonian times. The striking design of the Greek stamp is a visual representation of the theorem. (Detail) | ![]() |
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Tsu Ch'ung Chi (430-501) was a Chinese mathematician and astronomer. His approximation of pi was 355/113, which is correct to six decimal places. In astronomy, he arrived at the precise time of the solstice by measuring the sun's shadow at noon on days around the solstice. |
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Muhammed ibn Musa al-Khwarizmi was a Persian mathematician of the 9th century whose name comes down to us in the word "algorithm." The translation of his arithmetic treatises into Latin in the 12th century brought the advantages of the Indo-Arabic method of positional counting, including the use of zero, to western Europe, where counting tables based on the abacus and Latin numerals were still used. The title of his work Al-jabr wa'l muqabalah has become our word "algebra." (Detail) |
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Adam Riese (1489-1559) was the most famous and influential German arithmetician of the 16th century, and author of many popular commercial arithmetic books which made use of Indo-Arabic numerals instead of counters.(Detail) |
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John Napier's (1550-1617) invention of logarithms immensely facilitated mathematical computations before the age of computers. Lengthy multiplications and divisions of large numbers were replaced by the addition or subtraction of their logarithms, which were calculated and conveniently available in tables of great accuracy. The Nicaraguan stamp shows astronomical equipment and the Big Dipper.(Detail) Astronomical calculations benefitted enormously from the use of accurate logarithmic tables. Napier's "bones," or sliding scales, later became the slide rule, an essential tool for engineers and scientists until replaced by the hand-held calculator of the 1970's. On the Romanian stamps of 1957 publicizing a Congress of Engineers and Technicians, calipers and slide rule represent quintessential tools for measurement and calculation. |
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Johannes Kepler (1571-1630) was a German mathematician who is remembered for his three laws of planetary motion, derived empirically from Tycho Brahe's data and observations. The laws describe the solar system as having the sun at the focus of elliptic planetary orbits. In his writings on conic sections he introduced the word focus into mathematical language. (s.a. Astronomy and Cosmology I) |
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Gottfried Wilhelm Leibniz (1646-1716) developed a system of the calculus independently from Newton's, and was unjustly accused of plagiarism by Newton's followers. His notation flourished in Europe and is now generally used, while Newton's was preferred in England. The German stamp shows a page of his manuscripts. Both Newton and Leibniz had "Big Hair." (Detail) |
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Like Eve and Snow White, Isaac Newton (1642-1727) was the alleged victim of an apple, but with more positive results: the law of gravitation which not only applies to apples falling from trees but also describes the relationship of mutual attraction between planets and celestial bodies in the universe. On the 300th anniversary of the publication of his Principia Mathematica, Great Britain issued this set of commemoratives. Planetary motion according to the inverse square law and optical refraction are shown on two of the stamps. Newton is also considered the inventor of the calculus at the same time as Leibniz developed his version of the calculus; understandably, the German stamp honoring Newton features his Optics instead.(Detail) |
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Leonhard Euler (1707-1783), a Swiss mathematician, worked in number
theory, differential geometry, calculus, differential equations,
and is here commemorated with his polyhedron formula:
Number of vertices - number of edges + number of faces = 2 The Swiss stamp on the right shows a bewigged Euler and his formula relating the exponential and trigonometric functions in the complex plane. (Detail) |
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Christian Goldbach(1690-1764) was a native of Prussia and a minister's son who studied law at university but cultivated wide-ranging interests in many other fields, most importantly in mathematics. He formed acquaintances with many of the leading thinkers of his time, including the Bernouillis, Euler, and Leibnitz, whom he met during his extended travels in Europe, and he maintained an active correspondence that lasted through his lifetime. He served as Secretary of the Academy of Sciences in St Petersburg, and during that time, in 1742, he first communicated to Euler the supposition that any even integer greater than two is the sum of two prime numbers. Additionally, any odd integer is the sum of three primes. Goldbach's conjecture, as it is called, has not been proved absolutely, though it has been found to hold for ever larger numbers. This stamp was issued in late 1999 by China as part of a set of four science and technology motifs. |
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Joseph-Louis Lagrange (1736-1813) worked in analysis, number theory, and celestial mechanics. He succeeded Euler at the Academy of Science in Berlin, but then moved on to the Paris Academy of Science. He was a co-founder of the Ecole Polytechnique, where he taught analysis. His major work is Mecanique analytique, applying analytical methods to the subject of mechanics. (Detail) |
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Last Modified: 3 March 2005 djb URL: http://ublib.buffalo.edu/libraries/asl/exhibits/stamps Comments to: mnaylor@acsu.buffalo.edu Back to: Arts & Sciences Libraries Copyright 1997, 2005 Maiken Naylor |
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