000			03343nam a22005895i 4500
001			978-0-8176-4679-0
003			DE-He213
005			20161121231211.0
007			cr nn 008mamaa
008			100301s2008 xxu| s |||| 0|eng d
020			_a9780817646790 _9978-0-8176-4679-0
024	7		_a10.1007/978-0-8176-4679-0 _2doi
050		4	_aQA440-699
072		7	_aPBM _2bicssc
072		7	_aMAT012000 _2bisacsh
082	0	4	_a516 _223
100	1		_aKrantz, Steven. _eauthor.
245	1	0	_aGeometric Integration Theory _h[electronic resource] / _cby Steven Krantz, Harold Parks.
264		1	_aBoston : _bBirkhäuser Boston, _c2008.
300			_aXVI, 340 p. 33 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aCornerstones
505	0		_aBasics -- Carathéodory’s Construction and Lower-Dimensional Measures -- Invariant Measures and the Construction of Haar Measure. -- Covering Theorems and the Differentiation of Integrals -- Analytical Tools: The Area Formula, the Coarea Formula, and Poincaré Inequalities. -- The Calculus of Differential Forms and Stokes’s Theorem -- to Currents -- Currents and the Calculus of Variations -- Regularity of Mass-Minimizing Currents.
520			_aThis 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 various 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. Key features of Geometric Integration Theory: * Includes topics on the deformation theorem, the area and coarea formulas, the compactness theorem, the slicing theorem and applications to minimal surfaces * Applies techniques to complex geometry, partial differential equations, harmonic analysis, differential geometry, and many other parts of mathematics * Provides considerable background material for the student Motivating key ideas with examples and figures, Geometric Integration Theory is a comprehensive introduction ideal for use in the classroom and for self-study. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for graduate students and researchers.
650		0	_aMathematics.
650		0	_aIntegral equations.
650		0	_aIntegral transforms.
650		0	_aOperational calculus.
650		0	_aMeasure theory.
650		0	_aGeometry.
650		0	_aConvex geometry.
650		0	_aDiscrete geometry.
650		0	_aDifferential geometry.
650	1	4	_aMathematics.
650	2	4	_aGeometry.
650	2	4	_aDifferential Geometry.
650	2	4	_aMeasure and Integration.
650	2	4	_aIntegral Equations.
650	2	4	_aIntegral Transforms, Operational Calculus.
650	2	4	_aConvex and Discrete Geometry.
700	1		_aParks, Harold. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817646769
830		0	_aCornerstones
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4679-0
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c510036 _d510036