Diophantine Approximation: Lectures Given at the C.i.m.e. Summer School Held in Cetraro, Italy, June 28-july 6, 2000 - Lecture Notes in Mathematics / C.i.m.e. Foundation Subseries - David Masser - Books - Springer-Verlag Berlin and Heidelberg Gm - 9783540403920 - July 14, 2003
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David Masser
Diophantine Approximation: Lectures Given at the C.i.m.e. Summer School Held in Cetraro, Italy, June 28-july 6, 2000 - Lecture Notes in Mathematics / C.i.m.e. Foundation Subseries Softcover Reprint of the Original 1st Ed. 2003 edition

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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.

367 pages, 1 colour illustrations, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released July 14, 2003
ISBN13 9783540403920
Publishers Springer-Verlag Berlin and Heidelberg Gm
Pages 367
Dimensions 156 × 234 × 19 mm   ·   535 g
Language English  
Contributor Francesco Amoroso
Contributor Umberto Zannier

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