Items related to Classical Diophantine Equations (Lecture Notes in Mathematic...
Synopsis
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over recent years, one might fear that the present work, originally published in Russian in 1982, is mostly superseded.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.
"synopsis" may belong to another edition of this title.
Language Notes
Text: English (translation)
Original Language: Russian
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date1993
- ISBN 10 3540573593
- ISBN 13 9783540573593
- BindingPaperback
- LanguageEnglish
- Number of pages248
Buy New
View this item
US$ 57.45
US$ 20.56 shipping from United Kingdom to U.S.A.
Destination, rates & speedsOther Popular Editions of the Same Title
Search results for Classical Diophantine Equations (Lecture Notes in Mathematic...
Seller Image
Classical Diophantine Equations. Lecture Notes in Mathematics; 1559.
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Seller rating 5 out of 5 stars
Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-05117 3540573593 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2491364
Quantity: 1 available
Stock Image
Classical Diophantine Equations
Seller: Chiron Media, Wallingford, United Kingdom
Seller rating 5 out of 5 stars
PF. Condition: New. Seller Inventory # 6666-IUK-9783540573593
Quantity: 10 available
Seller Image
Classical Diophantine Equations
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 5905981-n
Quantity: Over 20 available
Stock Image
Classical Diophantine Equations (Lecture Notes in Mathematics, 1559)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Mar3113020171076
Quantity: Over 20 available
Stock Image
Classical Diophantine Equations (Lecture Notes in Mathematics, 1559)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9783540573593_new
Quantity: Over 20 available
Seller Image
Classical Diophantine Equations
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 5905981-n
Quantity: Over 20 available
Seller Image
Classical Diophantine Equations
Published by
Springer Berlin Heidelberg Dez 1993, 1993
ISBN 10: 3540573593
ISBN 13: 9783540573593
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 248 pp. Englisch. Seller Inventory # 9783540573593
Quantity: 2 available
Seller Image
Classical Diophantine Equations
Published by
Springer Berlin Heidelberg, 1993
ISBN 10: 3540573593
ISBN 13: 9783540573593
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783540573593
Quantity: 1 available
Stock Image
Classical Diophantine Equations
Published by
Springer Berlin Heidelberg, 1993
ISBN 10: 3540573593
ISBN 13: 9783540573593
Used
Softcover
Seller: Buchpark, Trebbin, Germany
Seller rating 5 out of 5 stars
Condition: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. | Seiten: 248 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 4438410/202
Quantity: 1 available
Stock Image
Classical Diophantine Equations
Published by
Springer Berlin Heidelberg, 1993
ISBN 10: 3540573593
ISBN 13: 9783540573593
Used
Softcover
Seller: Buchpark, Trebbin, Germany
Seller rating 5 out of 5 stars
Condition: Gut. Zustand: Gut - Gebrauchs- und Lagerspuren. Außen: verschmutzt, angestoßen. Innen: Seiten eingerissen. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. | Seiten: 248 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 4438410/203
Quantity: 1 available