Algorithms in Real Algebraic Geometry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003
|
| Series: | Algorithms and Computation in Mathematics
10 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, or deciding whether two points belong in the same connected component of a semi-algebraic set occur in many contexts. In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing. Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects, and researchers in computer science and engineering will find the required mathematical background. Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students |
| Physical Description: | 1 Online-Ressource (VIII, 602 p) |
| ISBN: | 9783662053553 9783662053577 |
| DOI: | 10.1007/978-3-662-05355-3 |
Staff View
MARC
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Record in the Search Index
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| author | Basu, Saugata |
| author_facet | Basu, Saugata |
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| author_variant | s b sb |
| building | Verbundindex |
| bvnumber | BV042423352 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863966576 (DE-599)BVBBV042423352 |
| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-05355-3 |
| format | Electronic eBook |
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| id | DE-604.BV042423352 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662053553 9783662053577 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858769 |
| oclc_num | 863966576 |
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| physical | 1 Online-Ressource (VIII, 602 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2003 |
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| publisher | Springer Berlin Heidelberg |
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| series | Algorithms and Computation in Mathematics |
| series2 | Algorithms and Computation in Mathematics |
| spelling | Basu, Saugata Verfasser aut Algorithms in Real Algebraic Geometry by Saugata Basu, Richard Pollack, Marie-Franco̧ise Roy Berlin, Heidelberg Springer Berlin Heidelberg 2003 1 Online-Ressource (VIII, 602 p) txt rdacontent c rdamedia cr rdacarrier Algorithms and Computation in Mathematics 10 The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, or deciding whether two points belong in the same connected component of a semi-algebraic set occur in many contexts. In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing. Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects, and researchers in computer science and engineering will find the required mathematical background. Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students Mathematics Algebra / Data processing Geometry, algebraic Algorithms Algebraic Geometry Symbolic and Algebraic Manipulation Datenverarbeitung Mathematik Computeralgebra (DE-588)4010449-7 gnd rswk-swf Reelle algebraische Geometrie (DE-588)4192004-1 gnd rswk-swf Reelle algebraische Geometrie (DE-588)4192004-1 s Computeralgebra (DE-588)4010449-7 s 1\p DE-604 Pollack, Richard Sonstige oth Roy, Marie-Franco̧ise Sonstige oth Algorithms and Computation in Mathematics 10 (DE-604)BV036602654 10 https://doi.org/10.1007/978-3-662-05355-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Basu, Saugata Algorithms in Real Algebraic Geometry Algorithms and Computation in Mathematics Mathematics Algebra / Data processing Geometry, algebraic Algorithms Algebraic Geometry Symbolic and Algebraic Manipulation Datenverarbeitung Mathematik Computeralgebra (DE-588)4010449-7 gnd Reelle algebraische Geometrie (DE-588)4192004-1 gnd |
| subject_GND | (DE-588)4010449-7 (DE-588)4192004-1 |
| title | Algorithms in Real Algebraic Geometry |
| title_auth | Algorithms in Real Algebraic Geometry |
| title_exact_search | Algorithms in Real Algebraic Geometry |
| title_full | Algorithms in Real Algebraic Geometry by Saugata Basu, Richard Pollack, Marie-Franco̧ise Roy |
| title_fullStr | Algorithms in Real Algebraic Geometry by Saugata Basu, Richard Pollack, Marie-Franco̧ise Roy |
| title_full_unstemmed | Algorithms in Real Algebraic Geometry by Saugata Basu, Richard Pollack, Marie-Franco̧ise Roy |
| title_short | Algorithms in Real Algebraic Geometry |
| title_sort | algorithms in real algebraic geometry |
| topic | Mathematics Algebra / Data processing Geometry, algebraic Algorithms Algebraic Geometry Symbolic and Algebraic Manipulation Datenverarbeitung Mathematik Computeralgebra (DE-588)4010449-7 gnd Reelle algebraische Geometrie (DE-588)4192004-1 gnd |
| topic_facet | Mathematics Algebra / Data processing Geometry, algebraic Algorithms Algebraic Geometry Symbolic and Algebraic Manipulation Datenverarbeitung Mathematik Computeralgebra Reelle algebraische Geometrie |
| url | https://doi.org/10.1007/978-3-662-05355-3 |
| volume_link | (DE-604)BV036602654 |
| work_keys_str_mv | AT basusaugata algorithmsinrealalgebraicgeometry AT pollackrichard algorithmsinrealalgebraicgeometry AT roymariefrancoise algorithmsinrealalgebraicgeometry |