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000728020 0247_ $$a10.1007/978-0-387-54109-9$$2doi
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000728020 035__ $$aSP(OCoLC)913230358
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000728020 08204 $$a512.9/4222$$223
000728020 1001_ $$aAndreescu, Titu,$$d1956-$$eauthor.
000728020 24510 $$aQuadratic diophantine equations$$h[electronic resource] /$$cTitu Andreescu and Andrica Dorin ; foreword by Preda Mihăilescu.
000728020 264_1 $$aNew York :$$bSpringer,$$c2015.
000728020 300__ $$a1 online resource.
000728020 336__ $$atext$$btxt$$2rdacontent
000728020 337__ $$acomputer$$bc$$2rdamedia
000728020 338__ $$aonline resource$$bcr$$2rdacarrier
000728020 4901_ $$aDevelopments in mathematics ;$$vvolume 40
000728020 504__ $$aIncludes bibliographical references and index.
000728020 5050_ $$aWhy 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.
000728020 506__ $$aAccess limited to authorized users.
000728020 520__ $$aThis 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.
000728020 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed July 6, 2015).
000728020 650_0 $$aEquations, Quadratic.
000728020 650_0 $$aDiophantine equations.
000728020 7001_ $$aAndrica, D.$$q(Dorin),$$eauthor.
000728020 830_0 $$aDevelopments in mathematics ;$$vvolume 40.
000728020 852__ $$bebk
000728020 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-0-387-54109-9$$zOnline Access$$91397441.1
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