Lesen statt warten - Kostenloser Sofortzugriff aufs eBook, sofern verfügbar*, bei jeder Buchbestellung

Fractal Dimensions of Networks

Autoren: Rosenberg, Eric

Vorschau
  • Presentation of a unified view of fractal dimensions and the relationship between computing these dimensions for geometric objects and computing them for networks
  • A historical view of the different dimensions, starting with Euclid, presented in a form that is not overly mathematical
  • Many applications of the methods are discussed in a broad range of fields; from art to biology, cosmology to food processing, to marine science, neurology, etc.
  • Many examples are provided to illustrate the computational methods
  • Includes exercises throughout, ranging in difficulty from simple to research level
  •      
Weitere Vorteile

Dieses Buch kaufen

eBook 71,68 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-030-43169-3
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 90,94 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-030-43168-6
  • Kostenfreier Versand für Individualkunden weltweit
  • Kostenloser Sofortzugriff, sofern verfügbar* auf die eBook-Version bei jeder Buchbestellung
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Über dieses Lehrbuch

Current interest in fractal dimensions of networks is the result of more than a century of previous research on dimensions. Fractal Dimensions of Networks  ties the theory and methods for computing fractal dimensions of networks to the “classic” theory of dimensions of geometric objects.

The goal of the book is to provide a unified treatment of fractal dimensions of sets and networks.  Since almost all of the major concepts in fractal dimensions originated in the study of sets, the book achieves this goal by first clearly presenting, with an abundance of examples and illustrations, the theory and algorithms for sets, and then showing how the theory and algorithms have been applied to networks. Thus, the book presents the classical theory and algorithms for the box counting dimension for sets, and then presents the box counting dimension for networks. All the major fractal dimensions are studied, e.g., the correlation dimension, the information dimension, the Hausdorff dimension, the multifractal spectrum, as well as many lesser known dimensions.  Algorithm descriptions are accompanied by worked examples, many applications of the methods are presented, and many exercises, ranging in difficulty from easy to research level, are included.


Über die Autor*innen

Eric Rosenberg has taught undergraduate and graduate courses in modelling and optimization at Princeton University, New Jersey Institute of Technology, and Rutgers University. He recently retired from AT&T Labs in Middletown, New Jersey, and has joined the faculty of Georgian Court University in Lakewood, New Jersey.

He received a B.A. in Mathematics from Oberlin College and a Ph.D. in Operations Research from Stanford University, and has authored or co-authored 19 patents and has published in the areas of convex analysis and nonlinearly constrained optimization, computer aided design of integrated circuits and printed wire boards, telecommunications network design and routing, and fractal dimensions of networks.

Dr. Rosenberg is the author of A Primer of Multicast Routing, and A Survey of Fractal Dimensions of Networks, both published by Springer.

New research and applications relating to fractal dimensions of networks can be sent to Dr. Rosenberg at FractalDimensionsOfNetworks@gmail.com.

Inhaltsverzeichnis (23 Kapitel)

Inhaltsverzeichnis (23 Kapitel)

Dieses Buch kaufen

eBook 71,68 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-030-43169-3
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 90,94 €
Preis für Deutschland (Brutto)
  • ISBN 978-3-030-43168-6
  • Kostenfreier Versand für Individualkunden weltweit
  • Kostenloser Sofortzugriff, sofern verfügbar* auf die eBook-Version bei jeder Buchbestellung
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Loading...

Wir empfehlen

Loading...

Bibliografische Information

Bibliographic Information
Buchtitel
Fractal Dimensions of Networks
Autoren
Copyright
2020
Verlag
Springer International Publishing
Copyright Inhaber
Springer Nature Switzerland AG
eBook ISBN
978-3-030-43169-3
DOI
10.1007/978-3-030-43169-3
Hardcover ISBN
978-3-030-43168-6
Auflage
1
Seitenzahl
XX, 524
Anzahl der Bilder
77 schwarz-weiß Abbildungen, 147 Abbildungen in Farbe
Themen

*sofort verfügbar bei Bestellung eines Print-Titels, da es aufgrund der COVID-19-Situation zu Lieferverzögerungen kommen kann. Dieses Angebot ist befristet und richtet sich nach der Verfügbarkeit des eBook-Titels. Das eBook geht nicht in Ihren Besitz über - Sie erhalten einen zeitlich begrenzten Zugriff. Springer Reference Works und Dozentenexemplare sind davon ausgenommen.