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Lexikon

Carl Friedrich Gauss

erson> A German mathematician (1777 - 1855), one of all time greatest. Gauss discovered the ef="module.php?name=Lexikon&file=search&eid=1&query=method of least squares">method of least squares and ef="module.php?name=Lexikon&file=search&eid=1&query=Gaussian elimination">Gaussian elimination. Gauss was something of a child prodigy the most commonly told story relates that when he was 10 his teacher, wanting a rest, told his class to add up all the numbers from 1 to 100. Gauss did it in seconds, having noticed that 1+...+100 = 100+...+1 = (101+...+101)/2. He did important work in almost every area of mathematics. Such eclecticism is probably impossible today, since further progress in most areas of mathematics requires much hard background study. Some idea of the range of his work can be obtained by noting the many mathematical terms with "Gauss" in their names. e.g. ef="module.php?name=Lexikon&file=search&eid=1&query=Gaussian elimination">Gaussian elimination (ef="module.php?name=Lexikon&file=search&eid=1&query=linear algebra">linear algebra) ef="module.php?name=Lexikon&file=search&eid=1&query=Gaussian primes">Gaussian primes (number theory) ef="module.php?name=Lexikon&file=search&eid=1&query=Gaussian distribution">Gaussian distribution (statistics) ef="module.php?name=Lexikon&file=search&eid=1&query=Gauss">Gauss [unit] (electromagnetism) ef="module.php?name=Lexikon&file=search&eid=1&query=Gaussian curvature">Gaussian curvature (differential geometry) ef="module.php?name=Lexikon&file=search&eid=1&query=Gaussian quadrature">Gaussian quadrature (numerical analysis) ef="module.php?name=Lexikon&file=search&eid=1&query=Gauss-Bonnet formula">Gauss-Bonnet formula (differential geometry) {Gauss' s identity} ({hypergeometric functions}) {Gauss sums} ({number theory}). His favourite area of mathematics was ef="module.php?name=Lexikon&file=search&eid=1&query=number theory">number theory. He conjectured the ef="module.php?name=Lexikon&file=search&eid=1&query=Prime Number Theorem">Prime Number Theorem, pioneered the {theory of quadratic forms}, proved the {quadratic reciprocity theorem}, and much more. He was "the first mathematician to use ef="module.php?name=Lexikon&file=search&eid=1&query=complex numbers">complex numbers in a really confident and scientific way" (Hardy & Wright, chapter 12). He nearly went into architecture rather than mathematics what decided him on mathematics was his proof, at age 18, of the startling theorem that a regular N-sided polygon can be constructed with ruler and compasses if and only if N is a power of 2 times a product of distinct ef="module.php?name=Lexikon&file=search&eid=1&query=Fermat primes">Fermat primes. (1995-04-10)

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Free On-line Dictionary of Computing

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