| 000 | 03762nam a22005775i 4500 | ||
|---|---|---|---|
| 001 | 978-0-387-38147-3 | ||
| 003 | DE-He213 | ||
| 005 | 20181204131308.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2006 xxu| s |||| 0|eng d | ||
| 020 |
_a9780387381473 _9978-0-387-38147-3 |
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| 024 | 7 |
_a10.1007/978-0-387-38147-3 _2doi |
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| 040 | _aISI Library, Kolkata | ||
| 050 | 4 | _aQA8.9-10.3 | |
| 072 | 7 |
_aPBC _2bicssc |
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_aMAT018000 _2bisacsh |
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_aPBC _2thema |
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_aPBCD _2thema |
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_a511.3 _223 |
| 100 | 1 |
_aBridges, Douglas S. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aTechniques of Constructive Analysis _h[electronic resource] / _cby Douglas S. Bridges, Luminiţa Simona Vîţă. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York, _c2006. |
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| 300 |
_aXVI, 216 p. 10 illus. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aUniversitext, _x0172-5939 |
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| 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 | _aLogic, Symbolic and mathematical. | |
| 650 | 0 | _aGlobal analysis (Mathematics). | |
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aFunctional analysis. | |
| 650 | 0 | _aOperator theory. | |
| 650 | 1 | 4 |
_aMathematical Logic and Foundations. _0http://scigraph.springernature.com/things/product-market-codes/M24005 |
| 650 | 2 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
| 650 | 2 | 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 |
_aOperator Theory. _0http://scigraph.springernature.com/things/product-market-codes/M12139 |
| 700 | 1 |
_aVîţă, Luminiţa Simona. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9780387513492 |
| 776 | 0 | 8 |
_iPrinted edition: _z9780387336466 |
| 830 | 0 |
_aUniversitext, _x0172-5939 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-0-387-38147-3 |
| 912 | _aZDB-2-SMA | ||
| 942 | _cEB | ||
| 950 | _aMathematics and Statistics (Springer-11649) | ||
| 999 |
_c425120 _d425120 |
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