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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Diophantine Approximation
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Diophantine Approximation
David Masser, Yuri V. Nesterenko, Hans Peter Schlickewei, Wolfgang M. Schmidt, Michel Waldschmidt (Broschiert, Englisch)
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Beschreibung
Diophantine Approximation is a branch of Number Theory having its origins intheproblemofproducing“best”rationalapproximationstogivenrealn- bers. Since the early work of Lagrange on Pell’s equation and the pioneering work of Thue on the rational approximations to algebraic numbers of degree ? 3, it has been clear how, in addition to its own speci?c importance and - terest, the theory can have… fundamental applications to classical diophantine problems in Number Theory. During the whole 20th century, until very recent times, this fruitful interplay went much further, also involving Transcend- tal Number Theory and leading to the solution of several central conjectures on diophantine equations and class number, and to other important achie- ments. These developments naturally raised further intensive research, so at the moment the subject is a most lively one. This motivated our proposal for a C. I. M. E. session, with the aim to make it available to a public wider than specialists an overview of the subject, with special emphasis on modern advances and techniques. Our project was kindly supported by the C. I. M. E. Committee and met with the interest of a largenumberofapplicants;forty-twoparticipantsfromseveralcountries,both graduatestudentsandseniormathematicians,intensivelyfollowedcoursesand seminars in a friendly and co-operative atmosphere. The main part of the session was arranged in four six-hours courses by Professors D. Masser (Basel), H. P. Schlickewei (Marburg), W. M. Schmidt (Boulder) and M. Waldschmidt (Paris VI). This volume contains expanded notes by the authors of the four courses, together with a paper by Professor Yu. V. 53,49 €
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Technische Daten
Erscheinungsdatum
14.07.2003
Sprache
Englisch
EAN
9783540403920
Herausgeber
Springer Berlin
Serien- oder Bandtitel
C.I.M.E. Foundation Subseries
Sonderedition
Nein
Autor
David Masser, Yuri V. Nesterenko, Hans Peter Schlickewei, Wolfgang M. Schmidt, Michel Waldschmidt
Seitenanzahl
356
Einbandart
Broschiert
Buch Untertitel
Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 – July 6, 2000
Schlagwörter
Diophantine approximation, Linear Forms in Logarithms, algebra, equation, proof
Thema-Inhalt
PBH - Zahlentheorie
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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