Techniques of Constructive Analysis (Record no. 425120)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03762nam a22005775i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9780387381473 |
| -- | 978-0-387-38147-3 |
| 024 7# - | |
| -- | 10.1007/978-0-387-38147-3 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA8.9-10.3 |
| 072 #7 - | |
| -- | PBC |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT018000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBC |
| -- | thema |
| 072 #7 - | |
| -- | PBCD |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511.3 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bridges, Douglas S. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Techniques of Constructive Analysis |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Douglas S. Bridges, Luminiţa Simona Vîţă. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | New York, NY : |
| Name of producer, publisher, distributor, manufacturer | Springer New York, |
| Date of production, publication, distribution, manufacture | 2006. |
| 300 ## - | |
| -- | XVI, 216 p. 10 illus. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Universitext, |
| -- | 0172-5939 |
| 505 0# - | |
| -- | to Constructive Mathematics -- Techniques of Elementary Analysis -- The ?-Technique -- Finite-Dimensional and Hilbert Spaces -- Linearity and Convexity -- Operators and Locatedness. |
| 520 ## - | |
| -- | 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. |
| 650 #0 - | |
| -- | Logic, Symbolic and mathematical. |
| 650 #0 - | |
| -- | Global analysis (Mathematics). |
| 650 #0 - | |
| -- | Mathematics. |
| 650 #0 - | |
| -- | Functional analysis. |
| 650 #0 - | |
| -- | Operator theory. |
| 650 14 - | |
| -- | Mathematical Logic and Foundations. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M24005 |
| 650 24 - | |
| -- | Analysis. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12007 |
| 650 24 - | |
| -- | Real Functions. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12171 |
| 650 24 - | |
| -- | Functional Analysis. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12066 |
| 650 24 - | |
| -- | Operator Theory. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12139 |
| 700 1# - | |
| -- | Vîţă, Luminiţa Simona. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9780387513492 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9780387336466 |
| 830 #0 - | |
| -- | Universitext, |
| -- | 0172-5939 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-0-387-38147-3 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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