Solving the Pell Equation

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Author :
Release : 2008-12-02
Genre : Mathematics
Kind :
Book Rating : 22X/5 ( reviews)

Solving the Pell Equation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Solving the Pell Equation write by Michael Jacobson. This book was released on 2008-12-02. Solving the Pell Equation available in PDF, EPUB and Kindle. 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.

Pell’s Equation

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Author :
Release : 2006-05-04
Genre : Mathematics
Kind :
Book Rating : 028/5 ( reviews)

Pell’s Equation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Pell’s Equation write by Edward J. Barbeau. This book was released on 2006-05-04. Pell’s Equation available in PDF, EPUB and Kindle. Pell's equation is part of a central area of algebraic number theory that treats quadratic forms and the structure of the rings of integers in algebraic number fields. It is an ideal topic to lead college students, as well as some talented and motivated high school students, to a better appreciation of the power of mathematical technique. Even at the specific level of quadratic diophantine equations, there are unsolved problems, and the higher degree analogues of Pell's equation, particularly beyond the third, do not appear to have been well studied. In this focused exercise book, the topic is motivated and developed through sections of exercises which will allow the readers to recreate known theory and provide a focus for their algebraic practice. There are several explorations that encourage the reader to embark on their own research. A high school background in mathematics is all that is needed to get into this book, and teachers and others interested in mathematics who do not have (or have forgotten) a background in advanced mathematics may find that it is a suitable vehicle for keeping up an independent interest in the subject.

Pell’s Equation

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Author :
Release : 2003-01-14
Genre : Mathematics
Kind :
Book Rating : 291/5 ( reviews)

Pell’s Equation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Pell’s Equation write by Edward Barbeau. This book was released on 2003-01-14. Pell’s Equation available in PDF, EPUB and Kindle. Pell's equation is part of a central area of algebraic number theory that treats quadratic forms and the structure of the rings of integers in algebraic number fields. It is an ideal topic to lead college students, as well as some talented and motivated high school students, to a better appreciation of the power of mathematical technique. Even at the specific level of quadratic diophantine equations, there are unsolved problems, and the higher degree analogues of Pell's equation, particularly beyond the third, do not appear to have been well studied. In this focused exercise book, the topic is motivated and developed through sections of exercises which will allow the readers to recreate known theory and provide a focus for their algebraic practice. There are several explorations that encourage the reader to embark on their own research. A high school background in mathematics is all that is needed to get into this book, and teachers and others interested in mathematics who do not have (or have forgotten) a background in advanced mathematics may find that it is a suitable vehicle for keeping up an independent interest in the subject.

The Pell Equation

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Author :
Release : 1912
Genre : Mathematics
Kind :
Book Rating : /5 ( reviews)

The Pell Equation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Pell Equation write by Edward Everett Whitford. This book was released on 1912. The Pell Equation available in PDF, EPUB and Kindle.

Solving the Pell Equation

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Author :
Release : 2008-12-04
Genre : Mathematics
Kind :
Book Rating : 238/5 ( reviews)

Solving the Pell Equation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Solving the Pell Equation write by Michael Jacobson. This book was released on 2008-12-04. Solving the Pell Equation available in PDF, EPUB and Kindle. 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.