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History of the Theory of Numbers , Vol. 2: Diophantine Analysis

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History of the Theory of Numbers , Vol. 2: Diophantine Analysis image
ISBN-10:

0821819356

ISBN-13:

9780821819357

Author(s): Leonard Eugene Dickson
Released: Jun 02, 1999
Publisher: American Mathematical Society
Format: Hardcover, 803 pages
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Description:

This second volume is a comprehensive treatment of Diophantine analysis. Besides the familiar cases of Diophantine equations, this rubric also covers partitions, representations as a sum of two, three, four or $n$ squares, Waring's problem in general and Hilbert's solution of it, and perfect squares in artihmetical and geometrical progressions. Of course, many important Diophantine equations, such as Pell's equation, and classes of equations, such as quadratic, cubic and quartic equations, are treated in detail. As usual with Dickson, the account is encyclopedic and the references are numerous.

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