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History of the Theory of Numbers: Diophantine Analysis
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AMS Chelsea Publishing
1966; 803 pp; hardcover
Volume: 86
Reprint/Revision History:
first AMS printing 1999; reprinted 2002
ISBN-10: 0-8218-1935-6
ISBN-13: 978-0-8218-1935-7
List Price: US$71 Member Price: US$63.90
Order Code: CHEL/86.2.H
This item is also sold as part of the following set: CHEL/86.H

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.