Algorithms in real algebraic geometry
The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequent...
Αποθηκεύτηκε σε:
| Κύριοι συγγραφείς: | , , |
|---|---|
| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Έκδοση: | 2nd edition. |
| Σειρά: | Algorithms and Computation in Mathematics
10 |
| Θέματα: | |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Σημείωση: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Algorithms in real algebraic geometry, Saugata Basu, Richard Pollack, Marie-Françoise Roy, 2nd ed., 2006, Berlin, Springer, 1 vol. (IX-662 p.), Algorithms and computation in mathematics, 978-3-540-33098-1 • Algorithms in Real Algebraic Geometry, Texte imprimé, 9783540821953 |
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| 100 | 1 | |a Basu, Saugata, |d 1968- | |
| 245 | 1 | 0 | |a Algorithms in real algebraic geometry |c Saugata Basu, Richard Pollack, Marie-Françoise Roy. |
| 250 | |a 2nd edition. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Algorithms and Computation in Mathematics |v 10 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Algebraically Closed Fields Real Closed Fields Semi-Algebraic Sets Algebra Decomposition of Semi-Algebraic Sets Elements of Topology Quantitative Semi-algebraic Geometry Complexity of Basic Algorithms Cauchy Index and Applications Real Roots Cylindrical Decomposition Algorithm Polynomial System Solving Existential Theory of the Reals Quantifier Elimination Computing Roadmaps and Connected Components of Algebraic Sets Computing Roadmaps and Connected Components of Semi-algebraic Sets | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequently in many areas of science and engineering. 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. This revised second edition contains several recent results, notably on discriminants of symmetric matrices, real root isolation, global optimization, quantitative results on semi-algebraic sets and the first single exponential algorithm computing their first Betti number. An index of notation has also been added | ||
| 650 | |a Algorithmes | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Géométrie |x Informatique | ||
| 700 | 1 | |a Pollack, Richard, |d 1935-2018, |c mathématicien. |4 aut | |
| 700 | 1 | |a Roy, Marie-Françoise, |d 1950-...., |c mathématicienne. |4 aut | |
| 776 | 0 | |0 113151284 |t Algorithms in real algebraic geometry |f Saugata Basu, Richard Pollack, Marie-Françoise Roy |e 2nd ed. |d 2006 |c Berlin |n Springer |p 1 vol. (IX-662 p.) |s Algorithms and computation in mathematics |z 978-3-540-33098-1 | |
| 776 | 0 | |t Algorithms in Real Algebraic Geometry |b Texte imprimé |z 9783540821953 | |
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