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Probabilistic diophantine approximation [electronic resource] : randomness in lattice point counting

Probabilistic diophantine approximation [electronic resource] : randomness in lattice point counting

Material type
E-Book(소장)
Personal Author
Beck, József.
Title Statement
Probabilistic diophantine approximation [electronic resource] : randomness in lattice point counting / József Beck.
Publication, Distribution, etc
Cham :   Springer International Publishing :   Imprint: Springer,   2014.  
Physical Medium
1 online resource (xvi, 487 p.) : ill.
Series Statement
Springer monographs in mathematics,1439-7382
ISBN
9783319107417
요약
This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals. It covers classical material on the subject as well as many new results developed by the author over the past decade. A range of ideas from other areas of mathematics are brought to bear with surprising connections to topics such as formulae for class numbers, special values of L-functions, and Dedekind sums. Care is taken to elaborate difficult proofs by motivating major steps and accompanying them with background explanations, enabling the reader to learn the theory and relevant techniques. Written by one of the acknowledged experts in the field, Probabilistic Diophantine Approximation is presented in a clear and informal style with sufficient detail to appeal to both advanced students and researchers in number theory.
General Note
Title from e-Book title page.  
Content Notes
Preface.- 1 What is "probabilistic" diophantine approximation?.- 2 Expectation, and its connection with quadratic fields.- 3 Variance, and its connection with quadratic fields.- 4 Proving randomness.- 5 Pell equation, super irregularity and randomness.- 6 More on randomness -- References -- Index.
Bibliography, Etc. Note
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Diophantine approximation. Probabilities.
Short cut
URL
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006 m d
007 cr
008 200916s2014 sz a ob 001 0 eng d
020 ▼a 9783319107417
040 ▼a 211009 ▼c 211009 ▼d 211009
050 4 ▼a QA241-247.5
082 0 4 ▼a 512.73 ▼2 23
084 ▼a 512.73 ▼2 DDCK
090 ▼a 512.73
100 1 ▼a Beck, József.
245 1 0 ▼a Probabilistic diophantine approximation ▼h [electronic resource] : ▼b randomness in lattice point counting / ▼c József Beck.
260 ▼a Cham : ▼b Springer International Publishing : ▼b Imprint: Springer, ▼c 2014.
300 ▼a 1 online resource (xvi, 487 p.) : ▼b ill.
490 1 ▼a Springer monographs in mathematics, ▼x 1439-7382
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
505 0 ▼a Preface.- 1 What is "probabilistic" diophantine approximation?.- 2 Expectation, and its connection with quadratic fields.- 3 Variance, and its connection with quadratic fields.- 4 Proving randomness.- 5 Pell equation, super irregularity and randomness.- 6 More on randomness -- References -- Index.
520 ▼a This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals. It covers classical material on the subject as well as many new results developed by the author over the past decade. A range of ideas from other areas of mathematics are brought to bear with surprising connections to topics such as formulae for class numbers, special values of L-functions, and Dedekind sums. Care is taken to elaborate difficult proofs by motivating major steps and accompanying them with background explanations, enabling the reader to learn the theory and relevant techniques. Written by one of the acknowledged experts in the field, Probabilistic Diophantine Approximation is presented in a clear and informal style with sufficient detail to appeal to both advanced students and researchers in number theory.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Diophantine approximation.
650 0 ▼a Probabilities.
830 0 ▼a Springer monographs in mathematics.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-3-319-10741-7
945 ▼a KLPA
991 ▼a E-Book(소장)

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/e-Book Collection/ Call Number CR 512.73 Accession No. E14032710 Availability Loan can not(reference room) Due Date Make a Reservation Service M

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