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The algorithmic aspects of such naturally abstract topics as Galois theory, Dedekind rings, Prüfer rings, finitely generated projective modules, dimension theory of commutative rings, and others in the current treatise, are all analysed in the spirit of the great developers of constructive algebra in the nineteenth century.
This updated and revised edition contains over 350 well-arranged exercises, together with their helpful hints for solution. A basic knowledge of linear algebra, group theory, elementary number theory as well as the fundamentals of ring and module theory is required. Commutative Algebra: Constructive Methods will be useful for graduate students, and also researchers, instructors and theoretical computer scientists.
The algorithmic aspects of such naturally abstract topics as Galois theory, Dedekind rings, Prüfer rings, finitely generated projective modules, dimension theory of commutative rings, and others in the current treatise, are all analysed in the spirit of the great developers of constructive algebra in the nineteenth century.
This updated and revised edition contains over 350 well-arranged exercises, together with their helpful hints for solution. A basic knowledge of linear algebra, group theory, elementary number theory as well as the fundamentals of ring and module theory is required. Commutative Algebra: Constructive Methods will be useful for graduate students, and also researchers, instructors and theoretical computer scientists.
Henri Lombardi is a researcher in constructive mathematics, real algebra and algorithmic complexity. Since 2003, with Marie-Françoise Roy and Thierry Coquand, he has developed the international group MAP (Mathematics, Algorithms, Proofs). He has published E¿piste¿mologie mathe¿matique, (Ellipse, 2011), and Me¿thodes matricielles. Introduction a` la complexite¿ alge¿brique, (Springer, 2003, in collaboration with Jounai¿di Abdeljaoued).
Claude Quitté is a researcher in effective commutative algebra, computer algebra and computer science. He has published Algorithmique alge¿brique, (Masson, 1991) in collaboration with Patrice Naudin.
Henri Lombardi and Claude Quitté also published together with Maria-Gema Díaz-Toca the book Modules sur les anneaux commutatifs (Calvage & Mounet, 2014).
Brings a fresh approach to traditional theories such as Galois theory and the Dedekind rings
Provides a systematic constructive approach to various basic concepts of commutative algebra
Written in a lively and engaging style
Includes supplementary material: [...]
| Erscheinungsjahr: | 2016 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 1048 |
| Reihe: | Algebra and Applications |
| Inhalt: |
xlix
996 S. 80 s/w Illustr. 996 p. 80 illus. |
| ISBN-13: | 9789402403992 |
| ISBN-10: | 940240399X |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Quitté, Claude
Lombardi, Henri |
| Auflage: | Softcover reprint of the original 1st ed. 2015 |
| Hersteller: |
Springer Netherland
Springer Netherlands Algebra and Applications |
| Maße: | 235 x 155 x 56 mm |
| Von/Mit: | Claude Quitté (u. a.) |
| Erscheinungsdatum: | 23.10.2016 |
| Gewicht: | 1,551 kg |
Henri Lombardi is a researcher in constructive mathematics, real algebra and algorithmic complexity. Since 2003, with Marie-Françoise Roy and Thierry Coquand, he has developed the international group MAP (Mathematics, Algorithms, Proofs). He has published E¿piste¿mologie mathe¿matique, (Ellipse, 2011), and Me¿thodes matricielles. Introduction a` la complexite¿ alge¿brique, (Springer, 2003, in collaboration with Jounai¿di Abdeljaoued).
Claude Quitté is a researcher in effective commutative algebra, computer algebra and computer science. He has published Algorithmique alge¿brique, (Masson, 1991) in collaboration with Patrice Naudin.
Henri Lombardi and Claude Quitté also published together with Maria-Gema Díaz-Toca the book Modules sur les anneaux commutatifs (Calvage & Mounet, 2014).
Brings a fresh approach to traditional theories such as Galois theory and the Dedekind rings
Provides a systematic constructive approach to various basic concepts of commutative algebra
Written in a lively and engaging style
Includes supplementary material: [...]
| Erscheinungsjahr: | 2016 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Seiten: | 1048 |
| Reihe: | Algebra and Applications |
| Inhalt: |
xlix
996 S. 80 s/w Illustr. 996 p. 80 illus. |
| ISBN-13: | 9789402403992 |
| ISBN-10: | 940240399X |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Quitté, Claude
Lombardi, Henri |
| Auflage: | Softcover reprint of the original 1st ed. 2015 |
| Hersteller: |
Springer Netherland
Springer Netherlands Algebra and Applications |
| Maße: | 235 x 155 x 56 mm |
| Von/Mit: | Claude Quitté (u. a.) |
| Erscheinungsdatum: | 23.10.2016 |
| Gewicht: | 1,551 kg |
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