| Record ID | marc_columbia/Columbia-extract-20221130-011.mrc:290529914:2820 |
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LEADER: 02820cam a2200361Ia 4500
001 5469262
005 20221110042751.0
008 050623s2005 flua b 001 0 eng d
010 $a 2005278402
015 $aGBA551765$2bnb
016 7 $a013219755$2Uk
020 $a1584884827
024 3 $a9781584884828
035 $a(OCoLC)ocm60707791
035 $a(NNC)5469262
035 $a5469262
040 $aTEF$cTEF$dTEF$dUKM$dC@R$dDLC$dBAKER$dOrLoB-B
050 00 $aQA242$b.S825 2005
082 04 $a512/.74$222
082 04 $a512.72$222
100 1 $aSteuding, Jörn.$0http://id.loc.gov/authorities/names/nb2005007978
245 10 $aDiophantine analysis /$cJörn Steuding.
260 $aBoca Raton :$bChapman & Hall/CRC,$c2005.
300 $a261 pages :$billustrations ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aDiscrete mathematics and its applications
504 $aIncludes bibliographical references (p. 251-257) and index.
505 00 $gCh. 1.$tIntroduction : basic principles -- $gCh. 2.$tClassical approximation theorems -- $gCh. 3.$tContinued fractions -- $gCh. 4.$tThe irrationality of [zeta](3) -- $gCh. 5.$tQuadratic irrationals -- $gCh. 6.$tThe Pell equation -- $gCh. 7.$tFactoring with continued fractions -- $gCh. 8.$tGeometry of numbers -- $gCh. 9.$tTranscendental numbers -- $gCh. 10.$tThe theorem of Roth -- $gCh. 11.$tThe abc-conjecture -- $gCh. 12.$tp-adic numbers -- $gCh. 13.$tHensel's lemma and applications -- $gCh. 14.$tThe local-global principle -- $gApp. A.$tAlgebra and number theory.
520 1 $a"Diophantine Analysis examines the theory of diophantine approximations and the theory of diophantine equations, with emphasis on interactions between these subjects. Beginning with the basic principles, the author develops his treatment around the theory of continued fractions and examines the classic theory, including some of its applications. He also explores modern topics rarely addressed in other texts, including the abc conjecture, the polynomial Pell equation, and the irrationality of the zeta function and touches on topics and applications related to discrete mathematics, such as factoring methods for large integers." "Setting the stage for tackling the field's many open problems and conjectures, Diophantine Analysis is an ideal introduction to the fundamentals of this venerable but still dynamic field. A detailed appendix supplies the necessary background material, more than 200 exercises reinforce the concepts, and engaging historical notes bring the subject to life."--BOOK JACKET.
650 0 $aDiophantine analysis.$0http://id.loc.gov/authorities/subjects/sh85038122
830 0 $aDiscrete mathematics and its applications.$0http://id.loc.gov/authorities/names/n97061951
852 00 $bmat$hQA242$i.S825 2005g