Computing in Algebraic Geometry : A Quick Start using SINGULAR
Systems of polynomial equations are central to mathematics and its appli- tion to science and engineering. Their solution sets, called algebraic sets, are studied in algebraic geometry, a mathematical discipline of its own. Algebraic geometry has a rich history, being shaped by di?erent schools. We...
Tallennettuna:
| Päätekijät: | , , |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Painos: | 1st ed. 2006. |
| Sarja: | Algorithms and Computation in Mathematics
16 |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Computing in algebraic geometry, a quick start using SINGULAR, Wolfram Decker, Christoph Lossen, Berlin, Springer, Hindustan Book Agency, 2006, 1 vol. (XV-327 p.), Algorithms and computation in mathematics, 3-540-28992-5 • Computing in Algebraic Geometry, Texte imprimé, 9783540815792 • Computing in Algebraic Geometry, Texte imprimé, 9783642067013 • Computing in algebraic geometry, a quick start using SINGULAR, Wolfram Decker, Christoph Lossen, Berlin, Springer, Hindustan Book Agency, 2006, 1 vol. (XV-327 p.), Algorithms and computation in mathematics, 3-540-28992-5 |
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| 009 | PPN12312753X | ||
| 020 | |a 9783540289937 | ||
| 041 | 0 | |a eng | |
| 082 | |a 516.35 | ||
| 100 | 1 | |a Decker, Wolfram. | |
| 245 | 1 | 0 | |a Computing in Algebraic Geometry : |b A Quick Start using SINGULAR |c by Wolfram Decker, Christoph Lossen. |
| 250 | |a 1st ed. 2006. | ||
| 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 16 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Introductory Remarks on Computer Algebra Basic Notations and Ideas: A Historical Account Basic Computational Problems and Their Solution An Introduction to SINGULAR Practical Session I Practical Session II Constructive Module Theory and Homological Algebra I Homological Algebra II Practical Session III Solving Systems of Polynomial Equations Primary Decomposition and Normalization Practical Session IV Algorithms for Invariant Theory Computing in Local Rings Practical Session V | |
| 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 Systems of polynomial equations are central to mathematics and its appli- tion to science and engineering. Their solution sets, called algebraic sets, are studied in algebraic geometry, a mathematical discipline of its own. Algebraic geometry has a rich history, being shaped by di?erent schools. We quote from Hartshorne s introductory textbook (1977): Algebraic geometry has developed in waves, each with its own language and point of view. The late nineteenth century saw the function-theoretic approach of Brill and Noether, and the purely algebraic approach of K- necker, Dedekind, and Weber. The Italian school followed with Cast- nuovo, Enriques, and Severi, culminating in the classi?cation of algebraic surfaces. Then came the twentieth-century American school of Chow, Weil, and Zariski, which gave ?rm algebraic foundations to the Italian - tuition. Mostrecently,SerreandGrothendieck initiatedthe Frenchschool, which has rewritten the foundations of algebraic geometry in terms of schemes and cohomology, and which has an impressive record of solving old problems with new techniques. Each of these schools has introduced new concepts and methods. As a result of this historical process, modern algebraic geometry provides a multitude oftheoreticalandhighly abstracttechniques forthe qualitativeand quantitative study of algebraic sets, without actually studying their de?ning equations at the ?rst place. On the other hand, due to the development of powerful computers and e?ectivecomputer algebraalgorithmsatthe endof the twentiethcentury,it is nowadayspossibletostudyexplicitexamplesviatheirequationsinmanycases ofinterest. Inthisway,algebraicgeometrybecomes accessibleto experiments. Theexperimentalmethod,whichhasproventobehighlysuccessfulinnumber theory, now also adds to the toolbox of the algebraic geometer | ||
| 700 | 1 | |a Lossen, Christoph. |4 aut | |
| 700 | 1 | |a Lossen, Christoph, |d 19..- |4 aut | |
| 776 | 0 | |0 102194521 |t Computing in algebraic geometry |o a quick start using SINGULAR |f Wolfram Decker, Christoph Lossen |c Berlin |n Springer |n Hindustan Book Agency |d 2006 |p 1 vol. (XV-327 p.) |s Algorithms and computation in mathematics |z 3-540-28992-5 | |
| 776 | 0 | |t Computing in Algebraic Geometry |b Texte imprimé |z 9783540815792 | |
| 776 | 0 | |t Computing in Algebraic Geometry |b Texte imprimé |z 9783642067013 | |
| 776 | 0 | |0 102194521 |t Computing in algebraic geometry |o a quick start using SINGULAR |f Wolfram Decker, Christoph Lossen |c Berlin |n Springer |n Hindustan Book Agency |d 2006 |p 1 vol. (XV-327 p.) |s Algorithms and computation in mathematics |z 3-540-28992-5 | |
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| 997 | |0 938371 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||