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Quadratic diophantine equations [electronic resource]
- 作者： Andreescu, Titu.
- 其他作者：
- 其他題名：
- Developments in Mathematics,
- 出版： New York, NY : Springer New York :Imprint: Springer
- 叢書名： Developments in Mathematics,v.40
- 主題： Equations, Quadratic. , Diophantine equations. , Mathematics , Number theory , Algebra
- ISBN： 9780387541099 (electronic bk.) 、 9780387351568 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: 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.
- 摘要註: 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.
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讀者標籤：
- 系統號： 005134936 | 機讀編目格式
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