Geometry of Sets & Measures Spaces: Fractals and Rectifiability - Brossura

Mattila

Brossura

ISBN 10: 0521655951 ISBN 13: 9780521655958

Casa editrice: Cambridge University Press, 2008

Riassunto

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.

Su questo libro

Recensione:

"Provides a unified theory for the study of the topic and develops the main tools used in its study including theorems, Hausdorff measures, and their relations to Riesz capacities and Fourier transforms." Book News, Inc.

Descrizione del libro:

Now in paperback, the main theme of this book is the study of geometric properties of general sets and measures in euclidean space. Examples to which this theory applies include fractal-type objects such as strange attractors for dynamical systems, and those fractals used as models in the sciences.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2008
• ISBN 10: 0521655951
• ISBN 13: 9780521655958
• Rilegatura: Copertina flessibile
• Numero di pagine: 356