MARC Record from Library of Congress

LEADER: 02891cam a22003377a 4500
001 2010934856
003 DLC
005 20120719104139.0
008 100813s2010 nyu b 001 0 eng d
010 $a 2010934856
020 $a9780817645489 (alk. paper)
020 $a0817645489 (alk. paper)
020 $a9780817645496 (e-ISBN)
020 $a0817645497 (e-ISBN)
035 $a(OCoLC)ocn690735319
037 $a978-0-8176-4548-9$bSpringer$nhttp://www.springerlink.com
040 $aNUI$cNUI$dRRR$dYDXCP$dBTCTA$dBAKER$dPBU$dTUU$dMRW$dDLC
042 $alccopycat
050 00 $aQA242$b.A53 2010
082 04 $a512.7/4$222
100 1 $aAndreescu, Titu,$d1956-
245 13 $aAn introduction to diophantine equations :$ba problem-based approach /$cTitu Andreescu, Dorin Andrica, Ion Cucurezeanu.
260 $aNew York :$bBirkhäuser,$cc2010.
300 $axi, 345 p. ;$c24 cm.
504 $aIncludes bibliographical references (p. [327]-330) and index.
505 0 $aDiophantine 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 -- References -- Glossary -- Index.
520 $a"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.
650 0 $aDiophantine equations.
700 1 $aAndrica, D.$q(Dorin)
700 1 $aCucurezeanu, Ion.
856 40 $3SpringerLink$uhttp://dx.doi.org/10.1007/978-0-8176-4549-6$zAn electronic book accessible through the World Wide Web; click for information