000 -LEADER |
fixed length control field |
03973nam a22005295i 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
ISBN |
9783540449799 |
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978-3-540-44979-9 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.7 |
100 1# - MAIN ENTRY--AUTHOR NAME |
Personal name |
Masser, David. |
245 10 - TITLE STATEMENT |
Title |
Diophantine Approximation |
Sub Title |
Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 – July 6, 2000 / |
Statement of responsibility, etc |
by David Masser, Yuri V. Nesterenko, Hans Peter Schlickewei, Wolfgang Schmidt, Michel Waldschmidt ; edited by Francesco Amoroso, Umberto Zannier. |
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication |
Berlin, Heidelberg : |
Name of publisher |
Springer Berlin Heidelberg, |
Year of publication |
2003. |
300 ## - PHYSICAL DESCRIPTION |
Number of Pages |
XI, 356 p. |
Other physical details |
online resource. |
490 1# - SERIES STATEMENT |
Series statement |
Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze, |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Heights, Transcendence, and Linear Independence on Commutative Group Varieties -- Linear Forms in Logarithms of Rational Numbers -- Approximation of Algebraic Numbers -- Linear Recurrence Sequences -- Linear Independence Measures for Logarithms of Algebraic Numbers. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Number theory. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Number Theory. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Nesterenko, Yuri V. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Schlickewei, Hans Peter. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Schmidt, Wolfgang. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Waldschmidt, Michel. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Amoroso, Francesco. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Zannier, Umberto. |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/3-540-44979-5 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
E-BOOKS |
264 #1 - |
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Berlin, Heidelberg : |
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Springer Berlin Heidelberg, |
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2003. |
336 ## - |
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text |
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txt |
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computer |
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rdamedia |
338 ## - |
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online resource |
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rdacarrier |
347 ## - |
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text file |
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PDF |
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rda |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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0075-8434 ; |