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A Source Book in Mathematics, Vol. 2: The Field of Geometry / The Field of Probability / The Field of the Calculus, Functions, Quaternions

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A Source Book in Mathematics, Vol. 2: The Field of Geometry / The Field of Probability / The Field of the Calculus, Functions, Quaternions image
ISBN-10:

0486605531

ISBN-13:

9780486605531

Author(s): Smith, David Eugene
Released: Jan 01, 1959
Publisher: Dover Publications
Format: Paperback, 418 pages
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Description:

36 articles on geometry span 500 years. Here are early writers such as Fermat, Desargues, Pascal, and Descartes; and some of the men who revived the study in the 19th century and developed non-Euclidean forms: Lobachevsky, Bolyai, Riemann, and others. Fermat and Pascal, De Moivre, Legendre, Chebyshev, and Laplace write on probability. The development of the calculus, function theory, and quaternions is covered from early sources of the calculus to important advances relating to the commutative law in quaternions and Ausdehnungslehre. This section contains works of Bessel, Möbius, W. R. Hamilton, Leibniz, Berkeley, Cauchy, Fermat, and six other pioneering mathematicians.

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