Theory of the Combination of Observations Least Subject to Errors: Part One, Part Two, Supplement

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SIAM, Jan 1, 1995 - Mathematics - 241 pages
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In the 1820s Gauss published two memoirs on least squares, which contain his final, definitive treatment of the area along with a wealth of material on probability, statistics, numerical analysis, and geodesy. These memoirs, originally published in Latin with German Notices, have been inaccessible to the English-speaking community. Here for the first time they are collected in an English translation. For scholars interested in comparisons the book includes the original text and the English translation on facing pages. More generally the book will be of interest to statisticians, numerical analysts, and other scientists who are interested in what Gauss did and how he set about doing it. An Afterword by the translator, G. W. Stewart, places Gauss's contributions in historical perspective.

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Page 33 Gauss offers his theory of leas squares, this has the original in Latin and an English translation and it uses Liebniz notation

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About the author (1995)

Whereas Euler was the most prolific mathematician of the eighteenth century, Gauss was the most profound. His motto, "pauca sed matura" ("few, but ripe"), reflected his belief that one should publish only the most developed and complete expositions of results as possible. His most influential work was in number theory. Disquisitiones Arithmeticae was remarkable in the number and difficulty of problems it solved and still remains a useful introduction and guide to development of the number theory. In addition to his important contributions to physics and astronomy, Gauss was also an early contributor to the theory of statistics--his method of least squares and results concerning the "Gaussian" or normal curve are still essential today.

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