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The Geometry of Fractal Sets (Cambridge Tracts in Mathematics) - Softcover

Buch 1 von 46: Cambridge Tracts in Mathematics

Falconer, K. J.

 
9780521337052: The Geometry of Fractal Sets (Cambridge Tracts in Mathematics)
Softcover
ISBN 10: 0521337054 ISBN 13: 9780521337052
Verlag: Cambridge University Press, 1986

Inhaltsangabe

This book contains a rigorous mathematical treatment of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Questions of local density and the existence of tangents of such sets are studied, as well as the dimensional properties of their projections in various directions. In the case of sets of integral dimension the dramatic differences between regular 'curve-like' sets and irregular 'dust like' sets are exhibited. The theory is related by duality to Kayeka sets (sets of zero area containing lines in every direction). The final chapter includes diverse examples of sets to which the general theory is applicable: discussions of curves of fractional dimension, self-similar sets, strange attractors, and examples from number theory, convexity and so on. There is an emphasis on the basic tools of the subject such as the Vitali covering lemma, net measures and Fourier transform methods.

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Verlag
Cambridge University Press
Erscheinungsdatum
1986
Sprache
Englisch
ISBN 10 
0521337054
ISBN 13 
9780521337052
Einband
Taschenbuch
Anzahl der Seiten
180
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
gpsr@libri.de
gpsr@libri.de

Europaallee 1
Bad Hersfeld
36244
Deutschland