03146nam a22005175i 4500 978-0-387-38147-3 DE-He213 20260521091914.0 cr nn 008mamaa 100301s2006 xxu| s |||| 0|eng d 9780387381473 99780387381473 10.1007/978-0-387-38147-3 doi CICY 511.3 23 Bridges, Douglas S. author. Techniques of Constructive Analysis [recurso electrónico] / by Douglas S. Bridges, Luminiţa Simona Vîţă. New York, NY : Springer New York, 2006. XVI, 213 p. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda Universitext to Constructive Mathematics -- Techniques of Elementary Analysis -- The ?-Technique -- Finite-Dimensional and Hilbert Spaces -- Linearity and Convexity -- Operators and Locatedness. This 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. MATHEMATICS. GLOBAL ANALYSIS (MATHEMATICS). FUNCTIONAL ANALYSIS. OPERATOR THEORY. LOGIC, SYMBOLIC AND MATHEMATICAL. MATHEMATICS. MATHEMATICAL LOGIC AND FOUNDATIONS. ANALYSIS. REAL FUNCTIONS. FUNCTIONAL ANALYSIS. OPERATOR THEORY. Vîţă, Luminiţa Simona. author. SpringerLink (Online service) Springer eBooks Printed edition: 9780387336466 Universitext http://dx.doi.org/10.1007/978-0-387-38147-3 Ver el texto completo en las instalaciones del CICY ddc ER 33518 33518 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 511.3 2025-07-10 08:39:58 2025-07-10 ER