03043nam a22004815i 4500001001800000003000900018005001700027007001500044008004100059020001800100020001900118024003500137040000900172082001400181100003300195245012100228264004600349300003400395336002600429337002600455338003900481347002400520490001700544505018600561520128700747650001702034650003502051650002502086650002102111650003802132650001702170650004002187650001402227650002002241650002502261650002102286700004402307710003402351773002002385776003602405830001702441856010302458978-0-387-38147-3DE-He21320260521091914.0cr nn 008mamaa100301s2006    xxu|    s    |||| 0|eng d  a9780387381473  a997803873814737 a10.1007/978-0-387-38147-32doi  cCICY04a511.32231 aBridges, Douglas S.eauthor.10aTechniques of Constructive Analysish[recurso electrónico] /cby Douglas S. Bridges, Luminiţa Simona Vîţă. 1aNew York, NY :bSpringer New York,c2006.  aXVI, 213 p.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  arecurso en líneabcr2rdacarrier  atext filebPDF2rda1 aUniversitext0 ato Constructive Mathematics -- Techniques of Elementary Analysis -- The ?-Technique -- Finite-Dimensional and Hilbert Spaces -- Linearity and Convexity -- Operators and Locatedness.  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. 0aMATHEMATICS. 0aGLOBAL ANALYSIS (MATHEMATICS). 0aFUNCTIONAL ANALYSIS. 0aOPERATOR THEORY. 0aLOGIC, SYMBOLIC AND MATHEMATICAL.14aMATHEMATICS.24aMATHEMATICAL LOGIC AND FOUNDATIONS.24aANALYSIS.24aREAL FUNCTIONS.24aFUNCTIONAL ANALYSIS.24aOPERATOR THEORY.1 aVîţă, Luminiţa Simona.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780387336466 0aUniversitext40uhttp://dx.doi.org/10.1007/978-0-387-38147-3zVer el texto completo en las instalaciones del CICY