000			03136nam a22005055i 4500
001			978-0-387-38147-3
003			DE-He213
005			20250710083958.0
007			cr nn 008mamaa
008			100301s2006 xxu| s |||| 0|eng d
020			_a9780387381473 _a99780387381473
024	7		_a10.1007/978-0-387-38147-3 _2doi
082	0	4	_a511.3 _223
100	1		_aBridges, Douglas S. _eauthor.
245	1	0	_aTechniques of Constructive Analysis _h[recurso electrónico] / _cby Douglas S. Bridges, Luminiţa Simona Vîţă.
264		1	_aNew York, NY : _bSpringer New York, _c2006.
300			_aXVI, 213 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext
505	0		_ato Constructive Mathematics -- Techniques of Elementary Analysis -- The ?-Technique -- Finite-Dimensional and Hilbert Spaces -- Linearity and Convexity -- Operators and Locatedness.
520			_aThis text provides a rigorous, wide-ranging introduction to modern constructive analysis for anyone with a strong mathematical background who is interested in the challenge of developing mathematics algorithmically. The authors begin by outlining the history of constructive mathematics, and the logic and set theory that are used throughout the book. They then present a new construction of the real numbers, followed by the fundamentals of the constructive theory of metric and normed spaces; the lambda-technique (a special method that enables one to prove many results that appear, at first sight, to be nonconstructive); finite- dimensional and Hilbert spaces; and convexity, separation, and Hahn-Banach theorems. The book ends with a long chapter in which the work of the preceding ones is applied to operator theory and other aspects of functional analysis. Many results and proofs, especially in the later chapters, are of relatively recent origin. The intended readership includes advanced undergraduates, postgraduates, and professional researchers in mathematics and theoretical computer science. With this book, the authors hope to spread the message that doing mathematics constructively is interesting and challenging, and produces new, deep computational information.
650		0	_aMATHEMATICS.
650		0	_aGLOBAL ANALYSIS (MATHEMATICS).
650		0	_aFUNCTIONAL ANALYSIS.
650		0	_aOPERATOR THEORY.
650		0	_aLOGIC, SYMBOLIC AND MATHEMATICAL.
650	1	4	_aMATHEMATICS.
650	2	4	_aMATHEMATICAL LOGIC AND FOUNDATIONS.
650	2	4	_aANALYSIS.
650	2	4	_aREAL FUNCTIONS.
650	2	4	_aFUNCTIONAL ANALYSIS.
650	2	4	_aOPERATOR THEORY.
700	1		_aVîţă, Luminiţa Simona. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387336466
830		0	_aUniversitext
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-38147-3 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c57581 _d57581