000			03953nam a22005895i 4500
001			978-3-319-64629-9
003			DE-He213
005			20210118152727.0
007			cr nn 008mamaa
008			171202s2017 gw | s |||| 0|eng d
020			_a9783319646299 _9978-3-319-64629-9
024	7		_a10.1007/978-3-319-64629-9 _2doi
050		4	_aQA331.5
072		7	_aPBKB _2bicssc
072		7	_aMAT034000 _2bisacsh
072		7	_aPBKB _2thema
082	0	4	_a515.8 _223
100	1		_aZiemer, William P. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aModern Real Analysis _h[electronic resource] / _cby William P. Ziemer.
250			_a2nd ed. 2017.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2017.
300			_aXI, 382 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aGraduate Texts in Mathematics, _x0072-5285 ; _v278
505	0		_aPreface -- 1. Preliminaries -- 2. Real, Cardinal and Ordinal Numbers -- 3. Elements of Topology -- 4. Measure Theory -- 5. Measurable Functions -- 6. Integration -- 7. Differentiation -- 8. Elements of Functional Analysis -- 9. Measures and Linear Functionals -- 10. Distributions -- 11. Functions of Several Variables -- Bibliography -- Index.
520			_aThis first year graduate text is a comprehensive resource in real analysis based on a modern treatment of measure and integration. Presented in a definitive and self-contained manner, it features a natural progression of concepts from simple to difficult. Several innovative topics are featured, including differentiation of measures, elements of Functional Analysis, the Riesz Representation Theorem, Schwartz distributions, the area formula, Sobolev functions and applications to harmonic functions. Together, the selection of topics forms a sound foundation in real analysis that is particularly suited to students going on to further study in partial differential equations. This second edition of Modern Real Analysis contains many substantial improvements, including the addition of problems for practicing techniques, and an entirely new section devoted to the relationship between Lebesgue and improper integrals. Aimed at graduate students with an understanding of advanced calculus, the text will also appeal to more experienced mathematicians as a useful reference. .
650		0	_aFunctions of real variables.
650		0	_aFunctional analysis.
650		0	_aMeasure theory.
650	1	4	_aReal Functions. _0http://scigraph.springernature.com/things/product-market-codes/M12171
650	2	4	_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066
650	2	4	_aMeasure and Integration. _0http://scigraph.springernature.com/things/product-market-codes/M12120
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783319646282
776	0	8	_iPrinted edition: _z9783319646305
776	0	8	_iPrinted edition: _z9783319878409
830		0	_aGraduate Texts in Mathematics, _x0072-5285 ; _v278
856	4	0	_uhttps://doi.org/10.1007/978-3-319-64629-9
912			_aZDB-2-SMA
999			_c453203 _d453203
942			_cEB
506			_aAvailable to subscribing member institutions only. Доступно лише організаціям членам підписки.
506			_fOnline access from local network of NaUOA.
506			_fOnline access with authorization at https://link.springer.com/
506			_fОнлайн-доступ з локальної мережі НаУОА.
506			_fОнлайн доступ з авторизацією на https://link.springer.com/