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Titlebook: Solving the Pell Equation; Michael J. Jacobson,Hugh C. Williams Textbook 20091st edition Springer-Verlag New York 2009 algebra.algebraic n

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书目名称Solving the Pell Equation
编辑Michael J. Jacobson,Hugh C. Williams
视频video
概述Describes modern (and surprising) applications to cryptography.Includes the most recent advances, with a deeper approach than any other book.Hugh Williams is Canada’s most famous computational number
丛书名称CMS Books in Mathematics
图书封面Titlebook: Solving the Pell Equation;  Michael J. Jacobson,Hugh C. Williams Textbook 20091st edition Springer-Verlag New York 2009 algebra.algebraic n
描述.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..
出版日期Textbook 20091st edition
关键词algebra; algebraic number theory; cryptography; diophantine equation; number theory; ecotoxicology
版次1
doihttps://doi.org/10.1007/978-0-387-84923-2
isbn_softcover978-1-4419-2747-7
isbn_ebook978-0-387-84923-2Series ISSN 1613-5237 Series E-ISSN 2197-4152
issn_series 1613-5237
copyrightSpringer-Verlag New York 2009
The information of publication is updating

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Early History of the Pell Equation,in some detail by Konen,. Whitford,., and Dickson,. our discussion here will be brief. We will concentrate on providing a more modern historical perspective and a somewhat different presentation of this material than that given in these earlier works.
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Quadratic Number Fields,will first be necessary to develop some theory of these structures. Several of the results in this section will be given without proof because they are standard elementary results which can be found in several texts.. We will begin with the definition of an algebraic number
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