LEADER 02555nam 2200637 a 450 001 9910449667503321 005 20200520144314.0 010 $a0-8262-6212-0 035 $a(CKB)1000000000005604 035 $a(EBL)3570650 035 $a(SSID)ssj0000211500 035 $a(PQKBManifestationID)11181441 035 $a(PQKBTitleCode)TC0000211500 035 $a(PQKBWorkID)10311363 035 $a(PQKB)11592623 035 $a(MiAaPQ)EBC3570650 035 $a(Au-PeEL)EBL3570650 035 $a(CaPaEBR)ebr10001668 035 $a(OCoLC)932325395 035 $a(EXLCZ)991000000000005604 100 $a19990602d1999 ub 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aNo band of brothers$b[electronic resource] $eproblems in the rebel high command /$fSteven E. Woodworth 210 $aColumbia $cUniversity of Missouri Press$dc1999 215 $a1 online resource (204 p.) 225 1 $aShades of blue and gray series 300 $aDescription based upon print version of record. 311 $a0-8262-1255-7 320 $aIncludes bibliographical references (p. 159-176) and index. 327 $a""Contents""; ""Preface""; ""Provenance of the Contents""; ""No Band of Brothers""; ""Davis, Beauregard, and Washington, D.C., 1861""; ""Davis, Polk, and the End of Kentucky Neutrality""; ""Confederate Command in Microcosm""; ""Davis and Lee in the Seven Days""; ""Dismembering the Confederacy""; ""Soldier with a Blunted Sword""; ""The President's Choices""; ""Beauregard at Bermuda Hundred""; ""Hood, Davis, and the Army of Tennessee""; ""Homespun Generals""; ""Notes""; ""Index"" 410 0$aShades of blue and gray series. 606 $aGenerals$zConfederate States of America 606 $aCommand of troops$xHistory$y19th century 606 $aStrategy$xHistory$y19th century 606 $aLeadership$xHistory$y19th century 607 $aConfederate States of America$xMilitary policy 607 $aUnited States$xHistory$yCivil War, 1861-1865$xCampaigns 607 $aConfederate States of America$xPolitics and government 608 $aElectronic books. 615 0$aGenerals 615 0$aCommand of troops$xHistory 615 0$aStrategy$xHistory 615 0$aLeadership$xHistory 676 $a973.7/3 700 $aWoodworth$b Steven E$0475998 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910449667503321 996 $aNo band of brothers$92198106 997 $aUNINA LEADER 03954nam 22006491 450 001 9910462699403321 005 20211216211404.0 010 $a3-11-028114-7 024 7 $a10.1515/9783110281149 035 $a(CKB)2670000000432735 035 $a(EBL)1130383 035 $a(OCoLC)858762166 035 $a(SSID)ssj0001001765 035 $a(PQKBManifestationID)11532409 035 $a(PQKBTitleCode)TC0001001765 035 $a(PQKBWorkID)10968145 035 $a(PQKB)11335298 035 $a(MiAaPQ)EBC1130383 035 $a(DE-B1597)175620 035 $a(OCoLC)858605070 035 $a(OCoLC)987673749 035 $a(DE-B1597)9783110281149 035 $a(Au-PeEL)EBL1130383 035 $a(CaPaEBR)ebr10786153 035 $a(CaONFJC)MIL807797 035 $a(EXLCZ)992670000000432735 100 $a20130701h20132013 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 10$aElliptic diophantine equations /$fby Nikos Tzanakis 210 1$aBerlin ;$aBoston :$cWalter de Gruyter,$d[2013] 210 4$d©2013 215 $a1 online resource (196 p.) 225 0 $aDe Gruyter Series in Discrete Mathematics and Applications ;$v2 300 $aDescription based upon print version of record. 311 0 $a3-11-028091-4 320 $aIncludes bibliographical references and index. 327 $tFront matter --$tPreface --$tContents --$tChapter 1 Elliptic curves and equations --$tChapter 2 Heights --$tChapter 3 Weierstrass equations over C and R --$tChapter 4 The elliptic logarithm method --$tChapter 5 Linear form for the Weierstrass equation --$tChapter 6 Linear form for the quartic equation --$tChapter 7 Linear form for simultaneous Pell equations --$tChapter 8 Linear form for the general elliptic equation --$tChapter 9 Bound for the coefficients of the linear form --$tChapter 10 Reducing the bound obtained in Chapter 9 --$tChapter 11 S-integer solutions of Weierstrass equations --$tList of symbols --$tBibliography --$tIndex 330 $aThis book presents in a unified and concrete way the beautiful and deep mathematics - both theoretical and computational - on which the explicit solution of an elliptic Diophantine equation is based. It collects numerous results and methods that are scattered in the literature. Some results are hidden behind a number of routines in software packages, like Magma and Maple; professional mathematicians very often use these routines just as a black-box, having little idea about the mathematical treasure behind them. Almost 20 years have passed since the first publications on the explicit solution of elliptic Diophantine equations with the use of elliptic logarithms. The "art" of solving this type of equation has now reached its full maturity. The author is one of the main persons that contributed to the development of this art. The monograph presents a well-balanced combination of a variety of theoretical tools (from Diophantine geometry, algebraic number theory, theory of linear forms in logarithms of various forms - real/complex and p-adic elliptic - and classical complex analysis), clever computational methods and techniques (LLL algorithm and de Weger's reduction technique, AGM algorithm, Zagier's technique for computing elliptic integrals), ready-to-use computer packages. A result is the solution in practice of a large general class of Diophantine equations. 410 3$aDe Gruyter Series in Discrete Mathematics and Applications 606 $aDiophantine equations 606 $aElliptic functions 608 $aElectronic books. 615 0$aDiophantine equations. 615 0$aElliptic functions. 676 $a512.7/2 700 $aTzanakis$b Nikos$f1952-$01056020 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910462699403321 996 $aElliptic diophantine equations$92490036 997 $aUNINA LEADER 01179nam a22002891i 4500 001 991001391089707536 005 20030130113106.0 008 021220s1954 it |||||||||||||||||ita 035 $ab12140600-39ule_inst 035 $aARCHE-023040$9ExL 040 $aDip.to Filologia Ling. e Lett.$bita$cA.t.i. Arché s.c.r.l. Pandora Sicilia s.r.l. 100 1 $aAlighieri, Dante$038904 245 13$aIl Convivio /$cDante Alighieri ; ridotto a miglior lezione e commentato da G. Busnelli e G. 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