Real Algebraic Geometry (Record no. 13736)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 03880nmm a22002415i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20230705150652.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 130723s1998 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783662037188 |
| -- | 978-3-662-03718-8 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.35 |
| Edition number | 23 |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Bochnak, Jacek. |
| 9 (RLIN) | 21267 |
| 245 ## - TITLE STATEMENT | |
| Title | Real Algebraic Geometry |
| Medium | [electronic resource] / |
| Statement of responsibility, etc. | by Jacek Bochnak, Michel Coste, Marie-Francoise Roy. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 1998. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Berlin, Heidelberg : |
| Name of publisher, distributor, etc. | Springer Berlin Heidelberg : |
| -- | Imprint: Springer, |
| Date of publication, distribution, etc. | 1998. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | X, 430 p. |
| Other physical details | online resource. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Ordered Fields, Real Closed Fields -- 2. Semi-algebraic Sets -- 3. Real Algebraic Varieties -- 4. Real Algebra -- 5. The Tarski-Seidenberg Principle as a Transfer Tool -- 6. Hilbert's 17th Problem. Quadratic Forms -- 7. Real Spectrum -- 8. Nash Functions -- 9. Stratifications -- 10. Real Places -- 11. Topology of Real Algebraic Varieties -- 12. Algebraic Vector Bundles -- 13. Polynomial or Regular Mappings with Values in Spheres -- 14. Algebraic Models of C? Manifolds -- 15. Witt Rings in Real Algebraic Geometry -- Index of Notation. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | The present volume is a translation, revision and updating of our book (pub lished in French) with the title "Geometrie Algebrique Reelle". Since its pub lication in 1987 the theory has made advances in several directions. There have also been new insights into material already in the French edition. Many of these advances and insights have been incorporated in this English version of the book, so that it may be viewed as being substantially different from the original. We wish to thank Michael Buchner for his careful reading of the text and for his linguistic corrections and stylistic improvements. The initial Jb. TEiX file was prepared by Thierry van Effelterre. The three authors participate in the European research network "Real Algebraic and Analytic Geometry". The first author was partially supported by NATO Collaborative Research Grant 960011. Jacek Bochnak April 1998 Michel Coste Marie-Pranroise Roy Table of Contents Preface. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . V Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. Ordered Fields, Real Closed Fields . . . . . . . . . . . . . . . . . . . . . . . 7 1. 1 Ordered Fields, Real Fields . . . . . " . . . . . . . . . . . . . . . . . . . . . . . 7 1. 2 Real Closed Fields. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1. 3 Real Closure of an Ordered Field. . . . . . . . . . . . . . . . . . . . . . . . . 14 1. 4 The Tarski-Seidenberg Principle. . . . . . . . . . . . . . . . . . . . . . . . . . 17 2. Semi-algebraic Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 2. 1 Algebraic and Semi-algebraic Sets. . . . . . . . . . . . . . . . . . . . . . . . 23 2. 2 Projection of Semi-algebraic Sets. Semi-algebraic Mappings. . 26 2. 3 Decomposition of Semi-algebraic Sets. . . . . . . . . . . . . . . . . . . . . 30 2. 4 Connectedness. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 2. 5 Closed and Bounded Semi-algebraic Sets. Curve-selection Lemma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 2. 6 Continuous Semi-algebraic Functions. Lojasiewicz's Inequality 42 2. 7 Separation of Closed Semi-algebraic Sets. . . . . . . . . . . . . . . . . . |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Algebraic geometry. |
| 9 (RLIN) | 21268 |
| Topical term or geographic name entry element | Algebraic Geometry. |
| 9 (RLIN) | 21269 |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Coste, Michel. |
| Relator term | author. |
| Relationship | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 9 (RLIN) | 21270 |
| Personal name | Roy, Marie-Francoise. |
| Relator term | author. |
| Relationship | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 9 (RLIN) | 21271 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1007/978-3-662-03718-8">https://doi.org/10.1007/978-3-662-03718-8</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | e-Book |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | S. R. Ranganathan Learning Hub | S. R. Ranganathan Learning Hub | Online | 2023-07-05 | Infokart India Pvt. Ltd., New Delhi | 516.35 | EB1460 | 2023-07-05 | 2023-07-05 | e-Book |