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Classical Diophantine Equations - Vladimir G. Sprindzuk
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Vladimir G. Sprindzuk:
Classical Diophantine Equations - neues Buch

ISBN: 9783540573593

ID: 978354057359

The author had initiated a revision and translation ofClassical Diophantine Equations prior to his death.Given the rapid advances in transcendence theory anddiophantine approximation over recent years, one might fearthat the present work, originally published in Russian in1982, is mostly superseded. That is not so. A certain amountof updating had been prepared by the author himself beforehis untimely death. Some further revision was prepared byclose colleagues.The first seven chapters provide a detailed, virtuallyexhaustive, discussion of the theory of lower bounds forlinear forms in the logarithms of algebraic numbers and itsapplications to obtaining upper bounds for solutions to theeponymous classical diophantine equations. The detail mayseem stark--- the author fears that the reader may reactmuch as does the tourist on first seeing the centrePompidou; notwithstanding that, Sprind zuk maintainsapleasant and chatty approach, full of wise and interestingremarks. His emphases well warrant, now that the bookappears in English, close studyand emulation. In particularthose emphases allow him to devote the eighth chapter to ananalysis of the interrelationship of the class number ofalgebraic number fields involved and the bounds on theheights of thesolutions of the diophantine equations. Thoseideas warrant further development. The final chapter dealswith effective aspects of the Hilbert IrreducibilityTheorem, harkening back to earlier work of the author. Thereis no other congenial entry point to the ideas of the lasttwo chapters in the literature. Vladimir G. Sprindzuk, Books, Science and Nature, Classical Diophantine Equations Books>Science and Nature, Springer Berlin Heidelberg

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Classical Diophantine Equations - Sprindzuk, Vladimir G. / Sprindzhuk, V. G.
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Sprindzuk, Vladimir G. / Sprindzhuk, V. G.:
Classical Diophantine Equations - gebrauchtes Buch

1982, ISBN: 9783540573593

ID: 7965518

The author had initiated a revision and translation of "Classical Diophantine Equations" prior to his death. Given the rapid advances in transcendence theory and diophantine approximation over recent years, one might fear that the present work, originally published in Russian in 1982, is mostly superseded. That is not so. A certain amount of updating had been prepared by the author himself before his untimely death. Some further revision was prepared by close colleagues. The first seven chapters provide a detailed, virtually exhaustive, discussion of the theory of lower bounds for linear forms in the logarithms of algebraic numbers and its applications to obtaining upper bounds for solutions to the eponymous classical diophantine equations. The detail may seem stark--- the author fears that the reader may react much as does the tourist on first seeing the centre Pompidou; notwithstanding that, Sprind zuk maintainsa pleasant and chatty approach, full of wise and interesting remarks. His emphases well warrant, now that the book appears in English, close studyand emulation. In particular those emphases allow him to devote the eighth chapter to an analysis of the interrelationship of the class number of algebraic number fields involved and the bounds on the heights of thesolutions of the diophantine equations. Those ideas warrant further development. The final chapter deals with effective aspects of the Hilbert Irreducibility Theorem, harkening back to earlier work of the author. There is no other congenial entry point to the ideas of the last two chapters in the literature. Classical Diophantine Equations Sprindzuk, Vladimir G. / Sprindzhuk, V. G., Springer

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Vladimir G. Sprindzuk:
Classical Diophantine Equations - Taschenbuch

ISBN: 9783540573593

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Classical Diophantine Equations Classical-Diophantine-Equations~~Vladimir-G-Sprindzuk Science/Tech>Mathematics>Mathematics Paperback, Springer Berlin Heidelberg

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Classical Diophantine Equations - Vladimir G. Sprindzuk
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Vladimir G. Sprindzuk:
Classical Diophantine Equations - Taschenbuch

ISBN: 9783540573593

ID: 517210582

Springer . softcover. New. pp. xii + 228, Springer

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Vladimir G. Sprindzuk:
Classical Diophantine Equations - Taschenbuch

1993, ISBN: 9783540573593

ID: 338792

1993, Softcover, Buch, [PU: Springer Berlin]

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Details zum Buch
Classical Diophantine Equations
Autor:

Sprindzuk, Vladimir G.

Titel:

Classical Diophantine Equations

ISBN-Nummer:

The author had initiated a revision and translation of"Classical Diophantine Equations" prior to his death.Given the rapid advances in transcendence theory anddiophantine approximation over recent years, one might fearthat the present work, originally published in Russian in1982, is mostly superseded. That is not so. A certain amountof updating had been prepared by the author himself beforehis untimely death. Some further revision was prepared byclose colleagues.The first seven chapters provide a detailed, virtuallyexhaustive, discussion of the theory of lower bounds forlinear forms in the logarithms of algebraic numbers and itsapplications to obtaining upper bounds for solutions to theeponymous classical diophantine equations. The detail mayseem stark--- the author fears that the reader may reactmuch as does the tourist on first seeing the centrePompidou; notwithstanding that, Sprind zuk maintainsapleasant and chatty approach, full of wise and interestingremarks. His emphases well warrant, now that the bookappears in English, close studyand emulation. In particularthose emphases allow him to devote the eighth chapter to ananalysis of the interrelationship of the class number ofalgebraic number fields involved and the bounds on theheights of thesolutions of the diophantine equations. Thoseideas warrant further development. The final chapter dealswith effective aspects of the Hilbert IrreducibilityTheorem, harkening back to earlier work of the author. Thereis no other congenial entry point to the ideas of the lasttwo chapters in the literature.

Detailangaben zum Buch - Classical Diophantine Equations


EAN (ISBN-13): 9783540573593
ISBN (ISBN-10): 3540573593
Taschenbuch
Erscheinungsjahr: 1993
Herausgeber: Springer-Verlag GmbH
248 Seiten
Gewicht: 0,380 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 18.11.2008 04:39:34
Buch zuletzt gefunden am 21.07.2017 23:08:09
ISBN/EAN: 3540573593

ISBN - alternative Schreibweisen:
3-540-57359-3, 978-3-540-57359-3


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