A History of Probability and Statistics and Their - download pdf or read online

February 27, 2018 | Probability Statistics | By admin | 0 Comments

By Anders Hald

ISBN-10: 0471471291

ISBN-13: 9780471471295

WILEY-INTERSCIENCE PAPERBACK SERIESThe Wiley-Interscience Paperback sequence includes chosen books which were made extra obtainable to shoppers to be able to elevate worldwide attraction and normal stream. With those new unabridged softcover volumes, Wiley hopes to increase the lives of those works via making them on hand to destiny generations of statisticians, mathematicians, and scientists.From the experiences of heritage of chance and information and Their functions prior to 1750"This is a wonderful e-book . . . somebody with the slightest curiosity within the historical past of statistics, or in realizing how sleek rules have built, will locate this a useful resource."–Short booklet reports of ISI

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Based on “extrapolation” of observations and experiments, he considered such abstract experiments as the motion of a perfect ball rolling on a frictionless horizontal plane, the free fall of a body in a vacuum, and the trajectory of a projectile moving without air resistance under influence of both horizontal and vertical forces. The three examples mentioned led him to a form of the law of inertia, to the theory of uniform acceleration for freely falling bodies, and to the parabolic form of the trajectory of a projectile.

He founded what today is called analytic or coordinate geometry by introducing (oblique) coordinate axes and defining a curve as any locus given by an algebraic equation. In particular, he studied the conics and the correspondence between their algebraic and geometrical expressions. He also began the study of curves of higher degrees. The important problem of finding the tangent of a curve was solved by a combination of geometrical and algebraic reasoning. About the same time, and independently, Fermat solved nearly the same problems in analytical geometry, but since his works were not published (they only circulated in manuscript), he did not have the same influence as Descartes.

The arguments used were purely mathematical, without any recourse to observations of relative frequencies. From about 1500leading Italian mathematicians tried to solve the division problem, that is, the problem of an equitable division of the stakes in a prematurely stopped game. Since combinatorial theory did not exist at the time, the problem presented a real challenge, and they did not succeed. 2 EARLY ATTEMPTS TO SOLVE THE PROBLEM OF POINTS 35 Cardano took up the study of a theory of gambling and derived some elementary results about 1565.

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A History of Probability and Statistics and Their Applications before 1750 (Wiley Series in Probability and Statistics) by Anders Hald


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