000 03000nam a22003855i 4500
001 278160
003 MX-SnUAN
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007 cr nn 008mamaa
008 150903s2006 xxu| o |||| 0|eng d
020 _a9780387381473
_99780387381473
024 7 _a10.1007/9780387381473
_2doi
035 _avtls000331375
039 9 _a201509030211
_bVLOAD
_c201404121829
_dVLOAD
_c201404091557
_dVLOAD
_c201401311413
_dstaff
_y201401301208
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA8.9-10.3
100 1 _aBridges, Douglas S.
_eautor
_9301560
245 1 0 _aTechniques of Constructive Analysis /
_cby Douglas S. Bridges, Lumini?a Simona Vî??.
264 1 _aNew York, NY :
_bSpringer New York,
_c2006.
300 _axvI, 213 páginas,
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aUniversitext
500 _aSpringer eBooks
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.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aVî??, Lumini?a Simona.
_eautor
_9301561
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9780387336466
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-387-38147-3
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c278160
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