Real algebraic geometry:
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Marseille
Société Mathématique de France
2017
|
| Series: | Panoramas et synthèses
51 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Textes en anglais et en français, résumés en anglais |
| Physical Description: | XXIII, 180 Seiten Diagramme 24 cm |
| ISBN: | 9782856298572 2856298575 |
Staff View
MARC
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| 100 | 1 | |a Mangolte, Frédéric |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Real algebraic geometry |c F. Mangolte, J.-P. Rolin, K. Kurdyka, S. Basu and V. Powers ; K. Bekka... [et al.], eds |
| 264 | 1 | |a Marseille |b Société Mathématique de France |c 2017 | |
| 300 | |a XXIII, 180 Seiten |b Diagramme |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Panoramas et synthèses |v 51 | |
| 500 | |a Textes en anglais et en français, résumés en anglais | ||
| 650 | 0 | 7 | |a Geometrische Algebra |0 (DE-588)4156707-9 |2 gnd |9 rswk-swf |
| 653 | 0 | |a Géométrie algébrique | |
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| 700 | 1 | |a Rolin, Jean-Philippe |0 (DE-588)102755962X |4 aut | |
| 700 | 1 | |a Kurdyka, Krzysztof |4 aut | |
| 700 | 1 | |a Basu, Saugata |4 aut | |
| 700 | 1 | |a Powers, Victoria |4 aut | |
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Record in the Search Index
| _version_ | 1804178235204829184 |
|---|---|
| adam_text | TABLE DES MATIÈRES
Introduction : La géométrie algébrique réelle............................. xi
Frédéric Mangolte — Real rational surfaces................................ 1
1. Introduction............................................................. 1
2. Real rational surfaces................................................... 2
3. Automorphism groups of real loci........................................ 11
4. Approximation of differentiable maps by algebraic maps.................. 16
5. Regulous maps........................................................... 21
References............................................................... 24
Jean-Philippe Rolin — A survey on o-minimal structures ................... 27
1. Basic definitions....................................................... 28
2. The initial works in o-minimality .................................... 37
3. General Properties of o-minimal Structures.............................. 42
4. Examples of o-minimal structures........................................ 49
5. o-minimality and Diophantine Geometry................................... 62
6. Establishing the O-minimality of Some Structures........................ 67
7. Conclusion.............................................................. 72
References.............................................................. 73
Krzysztof Kurdyka — Analytic arcs and Real Analytic Singularities......... 79
1. Introduction............................................................ 79
2. Arc-symmetric subsets of affine space .................................. 81
3. Virtual Betti numbers................................................... 90
4. Blow-analytic equivalence and its invariants ........................... 94
5. Understanding arc-analytic equivalence.................................. 99
6. Analytic families of symmetric matrices................................ 102
References.............................................................. 103
Saugata Basu — Algorithms in Real Algebraic Geometry : A Survey............. 107
1. Introduction........................................................... 108
2. Quantifier elimination and related problems............................ Ill
VI
TABLE DES MATIÈRES
3. Computing topological invariants of semi-algebraic sets................... 127
4. Sums of squares and semi-definite programming............................. 144
5. Open problems............................................................. 147
References................................................................ 148
Victoria Powers — Positive Polynomials and Sums of Squares : Theory and
Practice ................................................................. 155
1. Preliminaries and background.............................................. 156
2. Theory : Certificates of Positivity....................................... 159
3. Practice : Computational and algorithmic issues........................... 167
References................................................................ 175
PANORAMAS SYNTHÈSES 51
|
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| author | Mangolte, Frédéric Rolin, Jean-Philippe Kurdyka, Krzysztof Basu, Saugata Powers, Victoria |
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| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV044735750 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:00:45Z |
| institution | BVB |
| isbn | 9782856298572 2856298575 |
| language | English |
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| physical | XXIII, 180 Seiten Diagramme 24 cm |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | Société Mathématique de France |
| record_format | marc |
| series | Panoramas et synthèses |
| series2 | Panoramas et synthèses |
| spelling | Mangolte, Frédéric Verfasser aut Real algebraic geometry F. Mangolte, J.-P. Rolin, K. Kurdyka, S. Basu and V. Powers ; K. Bekka... [et al.], eds Marseille Société Mathématique de France 2017 XXIII, 180 Seiten Diagramme 24 cm txt rdacontent n isbdmedia rdamedia nc rdacarrier Panoramas et synthèses 51 Textes en anglais et en français, résumés en anglais Geometrische Algebra (DE-588)4156707-9 gnd rswk-swf Géométrie algébrique Geometrische Algebra (DE-588)4156707-9 s DE-604 Rolin, Jean-Philippe (DE-588)102755962X aut Kurdyka, Krzysztof aut Basu, Saugata aut Powers, Victoria aut Panoramas et synthèses 51 (DE-604)BV037491878 51 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030131719&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mangolte, Frédéric Rolin, Jean-Philippe Kurdyka, Krzysztof Basu, Saugata Powers, Victoria Real algebraic geometry Panoramas et synthèses Geometrische Algebra (DE-588)4156707-9 gnd |
| subject_GND | (DE-588)4156707-9 |
| title | Real algebraic geometry |
| title_auth | Real algebraic geometry |
| title_exact_search | Real algebraic geometry |
| title_full | Real algebraic geometry F. Mangolte, J.-P. Rolin, K. Kurdyka, S. Basu and V. Powers ; K. Bekka... [et al.], eds |
| title_fullStr | Real algebraic geometry F. Mangolte, J.-P. Rolin, K. Kurdyka, S. Basu and V. Powers ; K. Bekka... [et al.], eds |
| title_full_unstemmed | Real algebraic geometry F. Mangolte, J.-P. Rolin, K. Kurdyka, S. Basu and V. Powers ; K. Bekka... [et al.], eds |
| title_short | Real algebraic geometry |
| title_sort | real algebraic geometry |
| topic | Geometrische Algebra (DE-588)4156707-9 gnd |
| topic_facet | Geometrische Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030131719&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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