Quadratic diophantine equations / / Titu Andreescu, Dorin Andrica ; foreword by Preda Mihăilescu

• Autore: Andreescu Titu <1956->
• Pubblicazione: New York : , : Springer, , [2015]; ©2015
• Descrizione fisica: 1 online resource (XVIII, 211 p.)
• Disciplina: 512.72
• Soggetto topico: Diophantine equations; Equations, Quadratic
• Persona (resp. second.): AndricaD (Dorin); MihăilescuPreda
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references (pages 201-208) and index.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Quadratic diophantine equations
• ISBN: 0-387-54109-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910299763203321
• Lo trovi qui: Univ. Federico II
• Serie: Developments in mathematics ; ; Volume 40.