Geometry of sets and measures in Euclidean spaces fractals and rectifiability Pertti Mattila. Cambridge studies in advanced mathematics 44.

Mattila, Pertti:

ISBN 10: 0521465761 / ISBN 13: 9780521465762

Edité par Cambridge New York , Cambridge University Press, 1995

A propos de cet article

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 28 MAT 9780521465762 Sprache: Englisch Gewicht in Gramm: 550.

N° de réf. du vendeur 2497571

Détails bibliographiques

• Titre: Geometry of sets and measures in Euclidean spaces fractals and rectifiability Pertti Mattila. Cambridge studies in advanced mathematics 44.
• Éditeur: Cambridge New York , Cambridge University Press
• Date de parution: 1995
• Langue: anglais
• ISBN à 10 chiffres: 0521465761
• ISBN à 13 chiffres: 9780521465762
• Reliure: Hardcover
• Catalogues du vendeur:
  • SA MATHEMATIK

A propos de ce titre

Synopsis

This book studies the geometric properties of general sets and measures in euclidean space.

Présentation de l'éditeur

Now in paperback, the main theme of this book is the study of geometric properties of general sets and measures in euclidean spaces. Applications of this theory include fractal-type objects such as strange attractors for dynamical systems and those fractals used as models in the sciences. The author provides a firm and unified foundation and develops all the necessary main tools, such as covering theorems, Hausdorff measures and their relations to Riesz capacities and Fourier transforms. The last third of the book is devoted to the Beisovich-Federer theory of rectifiable sets, which form in a sense the largest class of subsets of euclidean space posessing many of the properties of smooth surfaces. These sets have wide application including the higher-dimensional calculus of variations. Their relations to complex analysis and singular integrals are also studied. Essentially self-contained, this book is suitable for graduate students and researchers in mathematics.