An edition of Pell's Equation (2003)

Pell's Equation

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Last edited by MARC Bot
August 24, 2024 | History
An edition of Pell's Equation (2003)

Pell's Equation

Pell's equation is an important topic of algebraic number theory that involves quadratic forms and the structure of rings of integers in algebraic number fields. The history of this equation is long and circuitous, and involved a number of different approaches before a definitive theory was found. There were partial patterns and quite effective methods of finding solutions, but a complete theory did not emerge until the end of the eighteenth century. The topic is motivated and developed through sections of exercises which allow the student to recreate known theory and provide a focus for their algebraic practice. There are also several explorations that encourage the reader to embark on their own research. Some of these are numerical and often require the use of a calculator or computer. Others introduce relevant theory that can be followed up on elsewhere, or suggest problems that the reader may wish to pursue. 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 a background in advanced mathematics may find that it is a suitable vehicle for keeping up an independent interest in the subject. Edward Barbeau is Professor of Mathematics at the University of Toronto. He has published a number of books directed to students of mathematics and their teachers, including Polynomials (Springer 1989), Power Play (MAA 1997), Fallacies, Flaws and Flimflam (MAA 1999) and After Math (Wall & Emerson, Toronto 1995).

Publish Date
Publisher
Springer
Language
English
Pages
200

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Previews available in: English

Edition Availability
Cover of: Pell's Equation
Pell's Equation
2006, Springer London, Limited
in English
Cover of: Pell's Equation
Pell's Equation
January 14, 2003, Springer
in English

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Book Details


First Sentence

"To arouse interest in Pell's equation and introduce some of the ideas that will be important in its study, we will examine the question of the irrationality of the square root of 2."

Classifications

Library of Congress
QA241-247.5, QA242 .B4395 2003

ID Numbers

Open Library
OL7448993M
Internet Archive
pellsequation00barb_735
ISBN 10
0387955291
ISBN 13
9780387955292
LCCN
2002070735
OCLC/WorldCat
49959274
Library Thing
3595950
Goodreads
3316220

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History

Download catalog record: RDF / JSON
August 24, 2024 Edited by MARC Bot import existing book
July 29, 2014 Edited by ImportBot import new book
April 28, 2010 Edited by Open Library Bot Linked existing covers to the work.
December 10, 2009 Created by WorkBot add works page