
Fractal Geometry
Mathematical Foundations and Applications
Kenneth J. Falconer(Autor*in)
Wiley (Verlag)
Erschienen am 24. März 1997
Buch
Softcover
XXII, 288 Seiten
978-0-471-96777-4 (ISBN)
Artikel ist vergriffen; siehe Neuauflage
Beschreibung
This paperback edition of Fractal Geometry provides an accessible treatment of the mathematics of fractals and their dimensions. It is aimed at those wanting to use fractals in their own areas of mathematics or science. The first part of the book covers the general theory of fractals and their geometry. Results are stated precisely, but technical measure theoretic ideas are avoided and difficult proofs are sketched. The second part contains a wide variety of examples and applications in mathematics and physics. The book contains numerous diagrams and illustrative examples. Each chapter ends with self-study exercises and suggestions for further reading. The author provides an intuitive as well as a mathematical insight into the subject.
Weitere Details
Auflage
New edition
Sprache
Englisch
Verlagsort
Chichester
Großbritannien
Verlagsgruppe
John Wiley and Sons Ltd
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Editions-Typ
Neue Ausgabe
Illustrationen
diagrams
Maße
Höhe: 22.6 cm
Breite: 15.3 cm
Gewicht
497 gr
ISBN-13
978-0-471-96777-4 (9780471967774)
Schweitzer Klassifikation
Weitere Ausgaben
Nachauflagen

Buch
09/2003
2. Auflage
Wiley
44,90 €
Artikel ist vergriffen; siehe Neuauflage
Inhalt
Part I Foundations: mathematical background; Hausdorff measure and dimension; alternative definitions of dimension; techniques for calculating dimensions; local structure of fractals; projections of fractals; products of fractals; intersections of fractals. Part II Applications and examples: fractals defined by transformations; examples from number theory; graphs of functions; examples from pure mathematics; dynamical systems; iteration of complex functions-Julia sets; random fractals; Brownian motion and Brownian surfaces; multifractal measures; physical applications.