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"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. [This book] 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."--From back cover.
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An introduction to diophantine equations: a problem-based approach
2010, Birkhäuser
in English
0817645489 9780817645489
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Includes bibliographical references (p. [327]-330) and index.
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- Created June 14, 2012
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January 3, 2023 | Edited by MARC Bot | import existing book |
February 26, 2022 | Edited by ImportBot | import existing book |
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June 14, 2012 | Created by LC Bot | Imported from Library of Congress MARC record |