| 期刊全稱 | An Introduction to Diophantine Equations | | 期刊簡稱 | A Problem-Based Appr | | 影響因子2023 | Titu Andreescu,Dorin Andrica,Ion Cucurezeanu | | 視頻video | http://file.papertrans.cn/156/155219/155219.mp4 | | 發(fā)行地址 | Provides reader with the main elementary methods necessary in solving Diophantine equations.Approaches Diophantine equations from a problem-solving standpoint, including some original exercises and so | | 圖書封面 |  | | 影響因子 | 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.. | | Pindex | Textbook 2010 |
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