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Geometry of Sets and Measures in Euclidean Spaces (1995) (?)
9781316043929 (?) of 1316043924
, in Engels, Cambridge University Press, Cambridge University Press, Cambridge University Press, Sagteband, Nuwe, EBook, digitale aflaai
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.
Sleutelwoorde: Geometry of Sets and Measures in Euclidean Spaces Mattila, Pertti Algebra Mathematics 9781316043929
Data uit 2016-07-07 17:23h
ISBN (alternatiewe skryfwyses): 1-316-04392-4, 978-1-316-04392-9
Geometry of Sets and Measures in Euclidean Spaces (?)
9781316043929 (?) of 1316043924
, in Engels, Nuwe, EBook, digitale aflaai
Fractals and Rectifiability, Fractals and Rectifiability
Kategorie: eBooks > Belletristik > Erzählungen
Sleutelwoorde: MATHEMATIK ,CALCULUS MATHEMATICAL ANALYSIS ,FUNCTIONAL ANALYSIS TRANSFORMS
Data uit 2016-07-07 17:23h
ISBN (alternatiewe skryfwyses): 1-316-04392-4, 978-1-316-04392-9
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