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Burris (U. of Waterloo, Canada) divides Kevin Compton's ideas into two parts, one on density in number systems, and the other on the application of number theoretic density results to obtain logical limit laws. The first part, on additive number systems, is suitable as an advanced undergraduate special topics reading text. The second, on multiplicative number systems, demonstrates the challenge and reward of becoming reasonably comfortable with Dirichlet series. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Number Theoretic Density and Logical Limit Laws (Mathematical Surveys & Monographs)
Verlag:
American Mathematical Society, 2000
ISBN 10: 0821826662
ISBN 13: 9780821826669
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Number Theoretic Density and Logical Limit Laws (Mathematical Surveys and Monographs)
Verlag:
American Mathematical Society, 2000
ISBN 10: 0821826662
ISBN 13: 9780821826669
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Zustand: New. Shows how a study of generating series (power series in the additive case and Dirichlet series in the multiplicative case), combined with structure theorems for the finite models of a sentence, lead to general results on limit laws, including $0 - 1$ laws. This book presents topics from additive as well as from multiplicative number theory. Series: Mathematical Surveys and Monographs. Num Pages: 312 pages, Illustrations. BIC Classification: PBCD; PBH; PBV. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 267 x 184 x 0. Weight in Grams: 774. . 2000. Hardcover. . . . . Bestandsnummer des Verkäufers V9780821826669
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Number Theoretic Density and Logical Limit Laws
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Number Theoretic Density and Logical Limit Laws
Verlag:
American Mathematical Society, US, 2000
ISBN 10: 0821826662
ISBN 13: 9780821826669
Neu
Hardcover
Anbieter: Rarewaves.com USA, London, LONDO, Vereinigtes Königreich
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Hardback. Zustand: New. This book shows how a study of generating series (power series in the additive case and Dirichlet series in the multiplicative case), combined with structure theorems for the finite models of a sentence, lead to general and powerful results on limit laws, including $0 - 1$ laws. The book is unique in its approach to giving a combined treatment of topics from additive as well as from multiplicative number theory, in the setting of abstract number systems, emphasizing the remarkable parallels in the two subjects.Much evidence is collected to support the thesis that local results in additive systems lift to global results in multiplicative systems. All necessary material is given to understand thoroughly the method of Compton for proving logical limit laws, including a full treatment of Ehrenfeucht-Fraisse games, the Feferman-Vaught Theorem, and Skolem's quantifier elimination for finite Boolean algebras. An intriguing aspect of the book is to see so many interesting tools from elementary mathematics pull together to answer the question: What is the probability that a randomly chosen structure has a given property? Prerequisites are undergraduate analysis and some exposure to abstract systems. Bestandsnummer des Verkäufers LU-9780821826669
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Number Theoretic Density and Logical Limit Laws (Mathematical Surveys and Monographs)
Verlag:
American Mathematical Society, 2000
ISBN 10: 0821826662
ISBN 13: 9780821826669
Neu
Hardcover
Anbieter: Kennys Bookstore, Olney, MD, USA
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. Shows how a study of generating series (power series in the additive case and Dirichlet series in the multiplicative case), combined with structure theorems for the finite models of a sentence, lead to general results on limit laws, including $0 - 1$ laws. This book presents topics from additive as well as from multiplicative number theory. Series: Mathematical Surveys and Monographs. Num Pages: 312 pages, Illustrations. BIC Classification: PBCD; PBH; PBV. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 267 x 184 x 0. Weight in Grams: 774. . 2000. Hardcover. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821826669
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Number Theoretic Density and Logical Limit Laws (Mathematical Surveys & Monographs)
Verlag:
American Mathematical Society, 2000
ISBN 10: 0821826662
ISBN 13: 9780821826669
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Number Theoretic Density and Logical Limit Laws
Verlag:
American Mathematical Society, US, 2000
ISBN 10: 0821826662
ISBN 13: 9780821826669
Neu
Hardcover
Anbieter: Rarewaves.com UK, London, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Hardback. Zustand: New. This book shows how a study of generating series (power series in the additive case and Dirichlet series in the multiplicative case), combined with structure theorems for the finite models of a sentence, lead to general and powerful results on limit laws, including $0 - 1$ laws. The book is unique in its approach to giving a combined treatment of topics from additive as well as from multiplicative number theory, in the setting of abstract number systems, emphasizing the remarkable parallels in the two subjects.Much evidence is collected to support the thesis that local results in additive systems lift to global results in multiplicative systems. All necessary material is given to understand thoroughly the method of Compton for proving logical limit laws, including a full treatment of Ehrenfeucht-Fraisse games, the Feferman-Vaught Theorem, and Skolem's quantifier elimination for finite Boolean algebras. An intriguing aspect of the book is to see so many interesting tools from elementary mathematics pull together to answer the question: What is the probability that a randomly chosen structure has a given property? Prerequisites are undergraduate analysis and some exposure to abstract systems. Bestandsnummer des Verkäufers LU-9780821826669
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