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单词 Gauss, Carl Friedrich (1777–1855)
释义
Gauss, Carl Friedrich (1777–1855)

Mathematics
  • arguably the greatest pure mathematician of all time. He also made enormous contributions to other parts of mathematics, physics, and astronomy. He was highly talented as a child. At the age of 19, made the new discovery that a 17‐sided regular polygon could be constructed with ruler and compasses. In 1799, in his doctoral thesis, he proved the Fundamental Theorem of Algebra. At the age of 24, he published his Disquisitiones arithmeticae, a book that was to have a profound influence on the number theory. In this, he proved the theorem of quadratic reciprocity. In later work, he developed the theory of curved surfaces using methods now known as differential geometry. His work on complex functions was fundamental, but, like his discovery of non‐Euclidean geometry, it was not published at the time. He introduced what is now known to statisticians as the Gaussian distribution. His memoir on potential theory was just one of his contributions to applied mathematics. In astronomy, his great powers of mental calculation allowed him to calculate the orbits of comets and asteroids from limited observational data. He was the first mathematician to consider the behaviour of knots in a formal mathematical sense.


Astronomy
  • He devised a method for calculating the orbit of a body from just three observations, enabling astronomers to recover the asteroid Ceres which had become lost behind the Sun after its discovery in 1801 by G. Piazzi. Gauss made a detailed study of celestial mechanics, developing a theory of perturbations (later used by J. C. Adams and U. J. J. Le Verrier to calculate the position of Neptune) which he applied to the determination of cometary and planetary orbits. He invented the method of least squares for use in correcting observational errors.


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