Verwandte Artikel zu Number Theoretic Density and Logical Limit Laws (Mathematica...
Inhaltsangabe
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.
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Über die Autorin bzw. den Autor
Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.
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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
Gebraucht
Hardcover
Anbieter: Lavendier Books, Foster, RI, USA
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Zustand: Very Good. American Mathematical Society; Providence, 2001. Hardcover. First edition. Very Good, fading to spine/slight bumping & wear to corners, with no dustwrapper as issued. A nice, clean and unmarked copy. 8vo[octavo or approx. 6 x 9 inches], 289pp., indexed. We pack securely and ship daily with delivery confirmation on every book. The picture on the listing page is of the actual book for sale. Additional Scan(s) are available for any item, please inquire.Please note: Oversized books/sets MAY require additional postage then what is quoted for 2.2lb book. Bestandsnummer des Verkäufers SKU1025381
Anzahl: 1 verfügbar
Foto des Verkäufers
Number Theoretic Density and Logical Limit Laws
Verlag:
American Mathematical Society, Providence, 2001
ISBN 10: 0821826662
ISBN 13: 9780821826669
Gebraucht
Hardcover
Anbieter: Attic Books (ABAC, ILAB), London, ON, Kanada
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Zustand: ex library-good. Mathematical Surveys and Monographs Vol. 86. xx, 289 p. 26 cm. Ex library with labels on spine and front cover, ink stamps on top edge and title. Spine and tops of boards faded. Bestandsnummer des Verkäufers 148031
Anzahl: 1 verfügbar