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An Introduction to Diophantine Equations : A Problem-Based Approach / by Titu Andreescu, Dorin Andrica, Ion Cucurezeanu
版 | 1st ed. 2010. |
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出版者 | Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser |
出版年 | 2010 |
大きさ | XI, 345 p : online resource |
著者標目 | *Andreescu, Titu author Andrica, Dorin author Cucurezeanu, Ion author SpringerLink (Online service) |
件 名 | LCSH:Number theory LCSH:Algebra FREE:Number Theory FREE:Algebra |
一般注記 | Diophantine Equations -- Elementary Methods for Solving Diophantine Equations -- Some Classical Diophantine Equations -- Pell-Type Equations -- Some Advanced Methods for Solving Diophantine Equations -- Solutions to Exercises and Problems -- Solutions to Elementary Methods for Solving Diophantine Equations -- Solutions to Some Classical Diophantine Equations -- Solutions to Pell-Type Equations -- Solutions to Some Advanced Methods in Solving Diophantine Equations This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The material is organized in two parts: Part I introduces the reader to elementary methods necessary in solving Diophantine equations, such as the decomposition method, inequalities, the parametric method, modular arithmetic, mathematical induction, Fermat's method of infinite descent, and the method of quadratic fields; Part II contains complete solutions to all exercises in Part I. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques HTTP:URL=https://doi.org/10.1007/978-0-8176-4549-6 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9780817645496 |
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電子リソース |
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EB00203996 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA241-247.5 DC23:512.7 |
書誌ID | 4000118829 |
ISBN | 9780817645496 |
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※2017年9月4日以降