An introduction to diophantine equations
a problem-based approach
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Author
Contributions
- Andrica, D. (Dorin) - Contributor
- Cucurezeanu, Ion - Contributor
Publication
2010 - Birkhäuser, New York, New York (State)
Language
English
Word Count
86,250 words, Guess
Page Count
345 pages
Identifiers
- Internet Archiveintroductiontodi00andr_278
- Internet Archiveintroductiontodi00tand_242
- ISBN-100817645489
- ISBN-100817645497
- ISBN-139780817645489
and 6 more
- ISBN-139780817645496
- Library of Congress Control Number2010934856
- OCLC Control Number690735319
- Better World Books9780817645489
- Better World Books9780817645496
- Open LibraryOL25343353M
Classifications
- DDC512.7/4
- LCCQA242 .A53 2010
- LCCQA241-247.5QA150-272
and 1 more
- LCCQA241-247.5
Description
"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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