A History Of The Pell Equation

DOWNLOAD

Download A History Of The Pell Equation PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get A History Of The Pell Equation book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

A History Of The Pell Equation

DOWNLOAD
Author : Helen H. Gorton
language : en
Publisher:
Release Date : 2004

A History Of The Pell Equation written by Helen H. Gorton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Pell's equation categories.

Solving The Pell Equation

DOWNLOAD
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.

Pell S Equation

DOWNLOAD
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.

The Pell Equation

DOWNLOAD
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.

Pell S Equation Some Aspects Of Its History And Solution

DOWNLOAD
Author : Maureen C. Holicky
language : en
Publisher:
Release Date : 1984

Pell S Equation Some Aspects Of Its History And Solution written by Maureen C. Holicky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Diophantine equations categories.

The Pell Equation

DOWNLOAD
Author : Edward Everett Whitford
language : en
Publisher: Forgotten Books
Release Date : 2015-06-15

The Pell Equation written by Edward Everett Whitford and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-15 with Mathematics categories.

Excerpt from The Pell Equation Edward Everett Whitford was born in Brookfield, N. Y., January 31, 1865; graduated from Brookfield Academy in 1881; received the degree of A.B. from Colgate University in 1886 and of A.M. in 1890. He taught in Colby Academy, New London, N. H., Keystone Academy, Factoryville, Pa., Shamokin (Pa.) High School, Commercial High School and Pratt Institute, Brooklyn, N. Y. He was principal of Brookfield High School, 1900-1. He is now instructor in mathematics in the College of the City of New York with which institution he has been connected since 1905. He has been a graduate student in Columbia University since February, 1904, and is a member of the American Mathematical Society. The writer takes this opportunity of expressing his thanks to Professor David Eugene Smith for fruitful suggestions and able and helpful criticism. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Some Congruence Properties Of Pell S Equation

DOWNLOAD
Author : Nathan C. Priddis
language : en
Publisher:
Release Date : 2009

Some Congruence Properties Of Pell S Equation written by Nathan C. Priddis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Electronic dissertations categories.

In this thesis I will outline the impact of Pell's equation on various branches of number theory, as well as some of the history. I will also discuss some recently discovered properties of the solutions of Pell's equation.

History Of The Theory Of Numbers

DOWNLOAD
Author : Leonard Eugene Dickson
language : en
Publisher: University of Pennsylvania Press
Release Date : 1999

History Of The Theory Of Numbers written by Leonard Eugene Dickson and has been published by University of Pennsylvania Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.

Dickson's History is truly a monumental account of the development of one of the oldest and most important areas of mathematics. It is remarkable today to think that such a complete history could even be conceived. That Dickson was able to accomplish such a feat is attested to by the fact that his History has become the standard reference for number theory up to that time. One need only look at later classics, such as Hardy and Wright, where Dickson's History is frequently cited, to see its importance. The book is divided into three volumes by topic. In scope, the coverage is encyclopedic, leaving very little out. It is interesting to see the topics being resuscitated today that are treated in detail in Dickson. The first volume of Dickson's History covers the related topics of divisibility and primality. It begins with a description of the development of our understanding of perfect numbers. Other standard topics, such as Fermat's theorems, primitive roots, counting divisors, the Möbius function, and prime numbers themselves are treated. Dickson, in this thoroughness, also includes less workhorse subjects, such as methods of factoring, divisibility of factorials and properties of the digits of numbers. Concepts, results and citations are numerous. 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. The last volume of Dickson's History is the most modern, covering quadratic and higher forms. The treatment here is more general than in Volume II, which, in a sense, is more concerned with special cases. Indeed, this volume chiefly presents methods of attacking whole classes of problems. Again, Dickson is exhaustive with references and citations.

Pell S Equation

DOWNLOAD
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.

Solving The Pell Equation

DOWNLOAD
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.