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Solving the Pell Equation

Posted on 2010-03-15




Name:Solving the Pell Equation
ASIN/ISBN:038784922X
Language:English
File size:3.7 Mb
Publish Date: 2008-11-21
ISBN: 038784922X
Pages: 520 pages
File Type: PDF
File Size: 3,7 MB
Other Info: Springer
   Solving the Pell Equation

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Jr., Michael J. Jacobson, Hugh C. Williams ""

Pell's Equation is a very simple Diophantine equation that has been known to mathematicians for over 2000 years. Even today research involving this equation continues to be very active, as can be seen by the publication of at least 150 articles related to this equation over the past decade. However, very few modern books have been published on Pell's Equation, and this will be the first to give a historical development of the equation, as well as to develop the necessary tools for solving the equation.

The authors provide a friendly introduction for advanced undergraduates to the delights of algebraic number theory via Pell's Equation. The only prerequisites are a basic knowledge of elementary number theory and abstract algebra. There are also numerous references and notes for those who wish to follow up on various topics.

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