Geometry Of Sets And Measures In Euclidean Spaces PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Geometry Of Sets And Measures In Euclidean Spaces PDF full book. Access full book title Geometry Of Sets And Measures In Euclidean Spaces.
Author | : Pertti Mattila |
Publisher | : Cambridge University Press |
Total Pages | : 360 |
Release | : 1999-02-25 |
Genre | : Mathematics |
ISBN | : 9780521655958 |
Download Geometry of Sets and Measures in Euclidean Spaces Book in PDF, ePub and Kindle
This book studies the geometric properties of general sets and measures in euclidean space.
Author | : Pertti Mattila |
Publisher | : |
Total Pages | : |
Release | : 1992 |
Genre | : |
ISBN | : |
Download Geometry of sets and measures in euclidean spaces Book in PDF, ePub and Kindle
Author | : Pertti Mattila |
Publisher | : Cambridge University Press |
Total Pages | : 181 |
Release | : 2023-01-12 |
Genre | : Mathematics |
ISBN | : 1009288083 |
Download Rectifiability Book in PDF, ePub and Kindle
A broad survey of the theory of rectifiability and its deep connections to numerous different areas of mathematics.
Author | : Jan Rataj |
Publisher | : Springer |
Total Pages | : 256 |
Release | : 2019-06-22 |
Genre | : Mathematics |
ISBN | : 3030181839 |
Download Curvature Measures of Singular Sets Book in PDF, ePub and Kindle
The book describes how curvature measures can be introduced for certain classes of sets with singularities in Euclidean spaces. Its focus lies on sets with positive reach and some extensions, which include the classical polyconvex sets and piecewise smooth submanifolds as special cases. The measures under consideration form a complete system of certain Euclidean invariants. Techniques of geometric measure theory, in particular, rectifiable currents are applied, and some important integral-geometric formulas are derived. Moreover, an approach to curvatures for a class of fractals is presented, which uses approximation by the rescaled curvature measures of small neighborhoods. The book collects results published during the last few decades in a nearly comprehensive way.
Author | : Frank Jones |
Publisher | : Jones & Bartlett Learning |
Total Pages | : 626 |
Release | : 2001 |
Genre | : Computers |
ISBN | : 9780763717087 |
Download Lebesgue Integration on Euclidean Space Book in PDF, ePub and Kindle
"'Lebesgue Integration on Euclidean Space' contains a concrete, intuitive, and patient derivation of Lebesgue measure and integration on Rn. It contains many exercises that are incorporated throughout the text, enabling the reader to apply immediately the new ideas that have been presented" --
Author | : Herbert Federer |
Publisher | : Springer |
Total Pages | : 694 |
Release | : 2014-11-25 |
Genre | : Mathematics |
ISBN | : 3642620108 |
Download Geometric Measure Theory Book in PDF, ePub and Kindle
"This book is a major treatise in mathematics and is essential in the working library of the modern analyst." (Bulletin of the London Mathematical Society)
Author | : K. J. Falconer |
Publisher | : Cambridge University Press |
Total Pages | : 184 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : 9780521337052 |
Download The Geometry of Fractal Sets Book in PDF, ePub and Kindle
A mathematical study of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Considers questions of local density, the existence of tangents of such sets as well as the dimensional properties of their projections in various directions.
Author | : Francesco Maggi |
Publisher | : |
Total Pages | : 454 |
Release | : 2012 |
Genre | : |
ISBN | : 9781107471726 |
Download Sets of Finite Perimeter and Geometric Variational Problems Book in PDF, ePub and Kindle
Author | : Steven G. Krantz |
Publisher | : Springer Science & Business Media |
Total Pages | : 311 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461215749 |
Download The Geometry of Domains in Space Book in PDF, ePub and Kindle
The analysis of Euclidean space is well-developed. The classical Lie groups that act naturally on Euclidean space-the rotations, dilations, and trans lations-have both shaped and guided this development. In particular, the Fourier transform and the theory of translation invariant operators (convolution transforms) have played a central role in this analysis. Much modern work in analysis takes place on a domain in space. In this context the tools, perforce, must be different. No longer can we expect there to be symmetries. Correspondingly, there is no longer any natural way to apply the Fourier transform. Pseudodifferential operators and Fourier integral operators can playa role in solving some of the problems, but other problems require new, more geometric, ideas. At a more basic level, the analysis of a smoothly bounded domain in space requires a great deal of preliminary spadework. Tubular neighbor hoods, the second fundamental form, the notion of "positive reach", and the implicit function theorem are just some of the tools that need to be invoked regularly to set up this analysis. The normal and tangent bundles become part of the language of classical analysis when that analysis is done on a domain. Many of the ideas in partial differential equations-such as Egorov's canonical transformation theorem-become rather natural when viewed in geometric language. Many of the questions that are natural to an analyst-such as extension theorems for various classes of functions-are most naturally formulated using ideas from geometry.
Author | : Steven G. Krantz |
Publisher | : Springer Science & Business Media |
Total Pages | : 344 |
Release | : 2008-12-15 |
Genre | : Mathematics |
ISBN | : 0817646795 |
Download Geometric Integration Theory Book in PDF, ePub and Kindle
This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.