Fractal Geometry and Number Theory

Michel L. Lapidus,Machiel van Frankenhuysen

ISBN 10: 0817640983 ISBN 13: 9780817640989

Edit� par BirkhÃ¤user, 1999

Ancien(s) ou d'occasion hardcover

Vendeur Jenson Books Inc, Logan, UT, Etats-Unis �valuation du vendeur 5 sur 5 �toiles

Vendeur AbeBooks depuis 2 mai 2016

Cet article sp�cifique n'est plus disponible.

Afficher tous les articles du vendeur Cr�er une demande de livres portant sur des articles similaires

Afficher tous les exemplaires de ce livre

A propos de cet article

A clean, cared for item that is unmarked and shows limited shelf wear. N� de r�f. du vendeur 4BQWN80009QI

Signaler cet article

Synopsis :

A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo- metry) of the drum and its sound (its spectrum). In this book, we restrict ourselves to the one-dimensional case of fractal strings, and their higher dimensional analogues, fractal sprays. We develop a theory of complex di- mensions of a fractal string, and we study how these complex dimensions relate the geometry with the spectrum of the fractal string. We refer the reader to [Berrl-2, Lapl-4, LapPol-3, LapMal-2, HeLapl-2] and the ref- erences therein for further physical and mathematical motivations of this work. (Also see, in particular, Sections 7. 1, 10. 3 and 10. 4, along with Ap- pendix B. ) In Chapter 1, we introduce the basic object of our research, fractal strings (see [Lapl-3, LapPol-3, LapMal-2, HeLapl-2]). A 'standard fractal string' is a bounded open subset of the real line. Such a set is a disjoint union of open intervals, the lengths of which form a sequence which we assume to be infinite. Important information about the geometry of . c is contained in its geometric zeta function (c(8) = L lj. j=l 2 Introduction We assume throughout that this function has a suitable meromorphic ex- tension. The central notion of this book, the complex dimensions of a fractal string . c, is defined as the poles of the meromorphic extension of (c.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

D�tails bibliographiques

Titre : Fractal Geometry and Number Theory
�diteur : Birkhäuser
Date d'�dition : 1999
Reliure : hardcover
Etat : Very Good

Meilleurs r�sultats de recherche sur AbeBooks

Image fournie par le vendeur

Fractal Geometry and Number Theory

Michel L. Lapidus|Machiel van Frankenhuysen

Edit� par Birkh�user Boston, 1999

ISBN 10 : 0817640983 ISBN 13 : 9780817640989

Neuf Couverture rigide

impression � la demande

Vendeur : moluna, Greven, Allemagne

�valuation du vendeur 4 sur 5 �toiles

Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 1 Complex Dimensions of Ordinary Fractal Strings.- 1.1 The Geometry of a Fractal String.- 1.1.1 The Multiplicity of the Lengths.- 1.1.2 Example: The Cantor String.- 1.2 The Geometric Zeta Function of a Fractal String.- 1.2.1 The Screen and the Window.- 1.2. N� de r�f. du vendeur 5975648

Contacter le vendeur

Acheter neuf

EUR 48,37

Exp�dition �EUR 48,99
Exp�dition depuis Allemagne vers Etats-Unis

Quantit� disponible : Plus de 20 disponibles

Ajouter au panier

Image fournie par le vendeur

Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions.

Lapidus, Michel L. and Machiel van Frankenhuysen:

Edit� par Boston. Birkh�user., 1999

ISBN 10 : 0817640983 ISBN 13 : 9780817640989

Ancien ou d'occasion Karton Karton

Vendeur : Antiquariat Bernhardt, Kassel, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Karton Karton. Etat : Sehr gut. 268 Seiten, mit Abbildung; Zust: Gutes Exemplar. Schneller Versand und pers�nlicher Service - jedes Buch h�ndisch gepr�ft und beschrieben - aus unserem Familienbetrieb seit �ber 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 564. N� de r�f. du vendeur 494808

Contacter le vendeur

Acheter D'occasion

EUR 51,70

Exp�dition �EUR 49,90
Exp�dition depuis Allemagne vers Etats-Unis

Quantit� disponible : 1 disponible(s)

Ajouter au panier

Image fournie par le vendeur

Fractal Geometry and Number Theory

Machiel van Frankenhuysen

Edit� par Birkh�user Boston, Birkh�user Boston Dez 1999, 1999

ISBN 10 : 0817640983 ISBN 13 : 9780817640989

Neuf Couverture rigide

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Buch. Etat : Neu. Neuware -A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo metry) of the drum and its sound (its spectrum). In this book, we restrict ourselves to the one-dimensional case of fractal strings, and their higher dimensional analogues, fractal sprays. We develop a theory of complex di mensions of a fractal string, and we study how these complex dimensions relate the geometry with the spectrum of the fractal string. We refer the reader to [Berrl-2, Lapl-4, LapPol-3, LapMal-2, HeLapl-2] and the ref erences therein for further physical and mathematical motivations of this work. (Also see, in particular, Sections 7. 1, 10. 3 and 10. 4, along with Ap pendix B. ) In Chapter 1, we introduce the basic object of our research, fractal strings (see [Lapl-3, LapPol-3, LapMal-2, HeLapl-2]). A 'standard fractal string' is a bounded open subset of the real line. Such a set is a disjoint union of open intervals, the lengths of which form a sequence which we assume to be infinite. Important information about the geometry of . c is contained in its geometric zeta function (c(8) = L lj. j=l 2 Introduction We assume throughout that this function has a suitable meromorphic ex tension. The central notion of this book, the complex dimensions of a fractal string . c, is defined as the poles of the meromorphic extension of (c.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 284 pp. Englisch. N� de r�f. du vendeur 9780817640989

Contacter le vendeur

Acheter neuf

EUR 53,49

Exp�dition �EUR 60
Exp�dition depuis Allemagne vers Etats-Unis

Quantit� disponible : 2 disponible(s)

Ajouter au panier

Image fournie par le vendeur

Fractal Geometry and Number Theory

Machiel van Frankenhuysen

Edit� par Birkh�user Boston Dez 1999, 1999

ISBN 10 : 0817640983 ISBN 13 : 9780817640989

Neuf Couverture rigide

impression � la demande

Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo metry) of the drum and its sound (its spectrum). In this book, we restrict ourselves to the one-dimensional case of fractal strings, and their higher dimensional analogues, fractal sprays. We develop a theory of complex di mensions of a fractal string, and we study how these complex dimensions relate the geometry with the spectrum of the fractal string. We refer the reader to [Berrl-2, Lapl-4, LapPol-3, LapMal-2, HeLapl-2] and the ref erences therein for further physical and mathematical motivations of this work. (Also see, in particular, Sections 7. 1, 10. 3 and 10. 4, along with Ap pendix B. ) In Chapter 1, we introduce the basic object of our research, fractal strings (see [Lapl-3, LapPol-3, LapMal-2, HeLapl-2]). A 'standard fractal string' is a bounded open subset of the real line. Such a set is a disjoint union of open intervals, the lengths of which form a sequence which we assume to be infinite. Important information about the geometry of . c is contained in its geometric zeta function (c(8) = L lj. j=l 2 Introduction We assume throughout that this function has a suitable meromorphic ex tension. The central notion of this book, the complex dimensions of a fractal string . c, is defined as the poles of the meromorphic extension of (c. 284 pp. Englisch. N� de r�f. du vendeur 9780817640989

Contacter le vendeur

Acheter neuf

EUR 53,49

Exp�dition �EUR 23
Exp�dition depuis Allemagne vers Etats-Unis

Quantit� disponible : 2 disponible(s)

Ajouter au panier

Image fournie par le vendeur

Fractal Geometry and Number Theory : Complex Dimensions of Fractal Strings and Zeros and Zeta-Functions

Lapidus, Michel L.; Van Frankenhuysen, Machiel

Edit� par Birkh�user, 1999

ISBN 10 : 0817640983 ISBN 13 : 9780817640989

Neuf Couverture rigide

Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni

�valuation du vendeur 5 sur 5 �toiles

Etat : New. N� de r�f. du vendeur 206886-n

Contacter le vendeur

Acheter neuf

EUR 58,39

Exp�dition �EUR 17,25
Exp�dition depuis Royaume-Uni vers Etats-Unis

Quantit� disponible : Plus de 20 disponibles

Ajouter au panier

Image d'archives

Fractal Geometry and Number Theory

Michel L. Lapidus; Machiel Van Frankenhuysen

Edit� par Birkh�user, 1999

ISBN 10 : 0817640983 ISBN 13 : 9780817640989

Neuf Couverture rigide

Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni

�valuation du vendeur 5 sur 5 �toiles

Etat : New. In. N� de r�f. du vendeur ria9780817640989_new

Contacter le vendeur

Acheter neuf

EUR 58,40

Exp�dition �EUR 13,78
Exp�dition depuis Royaume-Uni vers Etats-Unis

Quantit� disponible : Plus de 20 disponibles

Ajouter au panier

Image fournie par le vendeur

Fractal Geometry and Number Theory : Complex Dimensions of Fractal Strings and Zeros of Zeta Functions

Michel L. Lapidus

Edit� par Birkh�user, Birkh�user, 1999

ISBN 10 : 0817640983 ISBN 13 : 9780817640989

Neuf Couverture rigide

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo metry) of the drum and its sound (its spectrum). In this book, we restrict ourselves to the one-dimensional case of fractal strings, and their higher dimensional analogues, fractal sprays. We develop a theory of complex di mensions of a fractal string, and we study how these complex dimensions relate the geometry with the spectrum of the fractal string. We refer the reader to [Berrl-2, Lapl-4, LapPol-3, LapMal-2, HeLapl-2] and the ref erences therein for further physical and mathematical motivations of this work. (Also see, in particular, Sections 7. 1, 10. 3 and 10. 4, along with Ap pendix B. ) In Chapter 1, we introduce the basic object of our research, fractal strings (see [Lapl-3, LapPol-3, LapMal-2, HeLapl-2]). A 'standard fractal string' is a bounded open subset of the real line. Such a set is a disjoint union of open intervals, the lengths of which form a sequence which we assume to be infinite. Important information about the geometry of . c is contained in its geometric zeta function (c(8) = L lj. j=l 2 Introduction We assume throughout that this function has a suitable meromorphic ex tension. The central notion of this book, the complex dimensions of a fractal string . c, is defined as the poles of the meromorphic extension of (c. N� de r�f. du vendeur 9780817640989

Contacter le vendeur

Acheter neuf

EUR 59,97

Exp�dition �EUR 62,97
Exp�dition depuis Allemagne vers Etats-Unis

Quantit� disponible : 1 disponible(s)

Ajouter au panier

Image fournie par le vendeur

Fractal Geometry and Number Theory

Lapidus, Michel L.; van Frankenhuysen, Machiel

Edit� par Birkh�user, 1999

ISBN 10 : 0817640983 ISBN 13 : 9780817640989

Neuf Couverture souple

Vendeur : Agapea Libros, Malaga, MA, Espagne

�valuation du vendeur 5 sur 5 �toiles

Etat : New. Idioma/Language: Ingl�s. A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo� metry) of the drum and its sound (its spectrum). In this book, we restrict ourselves to the one-dimensional case of fractal strings, and their higher dimensional analogues, fractal sprays. We develop a theory of complex di� mensions of a fractal string, and we study how these complex dimensions relate the geometry with the spectrum of the fractal string. We refer the reader to [Berrl-2, Lapl-4, LapPol-3, LapMal-2, HeLapl-2] and the ref� erences therein for further physical and mathematical motivations of this work. (Also see, in particular, Sections 7. 1, 10. 3 and 10. 4, along with Ap� pendix B. ) In Chapter 1, we introduce the basic object of our research, fractal strings (see [Lapl-3, LapPol-3, LapMal-2, HeLapl-2]). A 'standard fractal string' is a bounded open subset of the real line. Such a set is a disjoint union of open intervals, the lengths of which form a sequence which we assume to be infinite. Important information about the geometry of . c is contained in its geometric zeta function (c(8) = L lj. j=l 2 Introduction We assume throughout that this function has a suitable meromorphic ex� tension. The central notion of this book, the complex dimensions of a fractal string . c, is defined as the poles of the meromorphic extension of (c. *** Nota: Los env�os a Espa�a peninsular, Baleares y Canarias se realizan a trav�s de mensajer�a urgente. No aceptamos pedidos con destino a Ceuta y Melilla. N� de r�f. du vendeur 888761

Contacter le vendeur