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

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

자료유형
E-Book(소장)
개인저자
Beck, József.
서명 / 저자사항
Probabilistic diophantine approximation [electronic resource] : randomness in lattice point counting / József Beck.
발행사항
Cham :   Springer International Publishing :   Imprint: Springer,   2014.  
형태사항
1 online resource (xvi, 487 p.) : ill.
총서사항
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.
일반주기
Title from e-Book title page.  
내용주기
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.
서지주기
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
일반주제명
Diophantine approximation. Probabilities.
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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)

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 중앙도서관/e-Book 컬렉션/ 청구기호 CR 512.73 등록번호 E14032710 도서상태 대출불가(열람가능) 반납예정일 예약 서비스 M

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