Solving The Pell Equation
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Solving The Pell Equation
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Author : Michael Jacobson
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-04
Solving The Pell Equation written by Michael Jacobson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-04 with Mathematics categories.
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.
Solving The Pell Equation
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Author : Michael Jacobson
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-02
Solving The Pell Equation written by Michael Jacobson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-02 with Mathematics categories.
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 : Edward J. Barbeau
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-04
Pell S Equation written by Edward J. Barbeau and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-04 with Mathematics categories.
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.
Solving Pell S Equation Using Continued Fraction
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Author : Yee Shyuan Lee
language : en
Publisher:
Release Date : 2007
Solving Pell S Equation Using Continued Fraction written by Yee Shyuan Lee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Continued fractions categories.
The Pell Equation
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Author : Edward Everett Whitford
language : en
Publisher:
Release Date : 2008
The Pell Equation written by Edward Everett Whitford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
An Unabridged, Digitally Enlarged History Of The Equation; Table Of Solutions From A = 1,5001 To A = 1,700, Bibliography With References To Over 300 Authors, and Table Of Continued Fractions For Square Root Of A.
The Solution Of Pell S Equation
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Author : Marshall Cornett Bell
language : en
Publisher:
Release Date : 1936
The Solution Of Pell S Equation written by Marshall Cornett Bell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1936 with categories.
Solutions To A Generalized Pell Equation
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Author : Kyle Christopher Castro
language : en
Publisher:
Release Date : 2012
Solutions To A Generalized Pell Equation written by Kyle Christopher Castro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Pell's equation categories.
This study aims to extend the notion of continued fractions to a new field Q ( x )*, in order to find solutions to generalized Pell's Equations in Q [ x ] . The investigation of these new solutions to Pell's Equation will begin with the necessary extensions of theorems as they apply to polynomials with rational coefficients and fractions of such polynomials in order to describe each "family" of solutions.
Pell S Equation
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Author : Edward J Barbeau
language : en
Publisher:
Release Date : 2003-01-14
Pell S Equation written by Edward J Barbeau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-14 with categories.
An Introduction To Diophantine Equations
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Author : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-02
An Introduction To Diophantine Equations written by Titu Andreescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-02 with Mathematics categories.
This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques.
Pell And Pell Lucas Numbers With Applications
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Author : Thomas Koshy
language : en
Publisher: Springer
Release Date : 2014-11-11
Pell And Pell Lucas Numbers With Applications written by Thomas Koshy and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-11 with Mathematics categories.
Pell and Pell–Lucas numbers, like the well-known Fibonacci and Catalan numbers, continue to intrigue the mathematical world with their beauty and applicability. They offer opportunities for experimentation, exploration, conjecture, and problem-solving techniques, connecting the fields of analysis, geometry, trigonometry, and various areas of discrete mathematics, number theory, graph theory, linear algebra, and combinatorics. Pell and Pell–Lucas numbers belong to an extended Fibonacci family as a powerful tool for extracting numerous interesting properties of a vast array of number sequences. A key feature of this work is the historical flavor that is interwoven into the extensive and in-depth coverage of the subject. An interesting array of applications to combinatorics, graph theory, geometry, and intriguing mathematical puzzles is another highlight engaging the reader. The exposition is user-friendly, yet rigorous, so that a broad audience consisting of students, math teachers and instructors, computer scientists and other professionals, along with the mathematically curious will all benefit from this book. Finally, Pell and Pell–Lucas Numbers provides enjoyment and excitement while sharpening the reader’s mathematical skills involving pattern recognition, proof-and-problem-solving techniques.