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Catalogue Information
Field name
Details
Dewey Class
512.7
Title
Quadratic Diophantine Equations ([EBook]) / by Titu Andreescu, Dorin Andrica
Author
Andreescu, Titu , 1956-
Added Personal Name
Andrica, Dorin
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer New York , 2015
Physical Details
XVIII, 211 pages : online resource.
Series
Developments in mathematics
1389-2177 ; ; 40
ISBN
9780387541099
Summary Note
This monograph treats the classical theory of quadratic Diophantine equations and guides the reader through the last two decades of computational techniques and progress in the area. These new techniques combined with the latest increases in computational power shed new light on important open problems. The authors motivate the study of quadratic Diophantine equations with excellent examples, open problems, and applications. Moreover, the exposition aptly demonstrates many applications of results and techniques from the study of Pell-type equations to other problems in number theory. The book is intended for advanced undergraduate and graduate students as well as researchers. It challenges the reader to apply not only specific techniques and strategies, but also to employ methods and tools from other areas of mathematics, such as algebra and analysis.:
Contents note
Why Quadratic Diophantine Equations? -- Continued Fractions, Diophantine Approximation and Quadratic Rings -- Pell's Equation -- General Pell's Equation -- Equations Reducible to Pell's Type Equations -- Diophantine Representations of Some Sequences -- Other Applications.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-0-387-54109-9
Links to Related Works
Subject References:
Algebra
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Mathematics
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Number Theory
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Authors:
Andreescu, Titu 1956-
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Andrica, Dorin
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author
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Corporate Authors:
SpringerLink (Online service)
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Series:
Developments in mathematics
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Classification:
512.7
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512.7 (DDC 23)
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