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Éléments de Mathématique: Algebre: Chapitre 4 a 7 (French Edition)
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Algèbre - Chapitre 4 à 7
ISBN: 9783540343981 bzw. 3540343989, in Französisch, Springer-Verlag Gmbh, Taschenbuch, neu.
Algèbre: This is a softcover reprint of the English translation of 1990 of the revised and expanded version of Bourbaki`s, Algèbre, Chapters 4 to 7 (1981). This completes Algebra, 1 to 3, by establishing the theories of commutative fields and modules over a principal ideal domain. Chapter 4 deals with polynomials, rational fractions and power series. A section on symmetric tensors and polynomial mappings between modules, and a final one on symmetric functions, have been added. Chapter 5 was entirely rewritten. After the basic theory of extensions (prime fields, algebraic, algebraically closed, radical extension), separable algebraic extensions are investigated, giving way to a section on Galois theory. Galois theory is in turn applied to finite fields and abelian extensions. The chapter then proceeds to the study of general non-algebraic extensions which cannot usually be found in textbooks: p-bases, transcendental extensions, separability criterions, regular extensions. Chapter 6 treats ordered groups and fields and based on it is Chapter 7: modules over a p.i.d. studies of torsion modules, free modules, finite type modules, with applications to abelian groups and endomorphisms of vector spaces. Sections on semi-simple endomorphisms and Jordan decomposition have been added. Chapter IV: Polynomials and Rational Fractions Chapter V: Commutative Fields Chapter VI: Ordered Groups and Fields Chapter VII: Modules Over Principal Ideal Domains.Ce deuxième volume du Livre d Algèbre, deuxième Livre des Éléments de mathématique, traite notamment des extensions de corps et de la théorie de Galois. Il comprend les chapitres : 4. Polynômes et fractions rationnelles 5. Corps commutatifs 6. Groupes et corps ordonnés 7. Modules sur les anneaux principaux. Taschenbuch.
Algèbre 4-7 (2006)
ISBN: 9783540343981 bzw. 3540343989, in Deutsch, Springer-Verlag Gmbh Dez 2006, Taschenbuch, neu.
Neuware - This is a softcover reprint of the English translation of 1990 of the revised and expanded version of Bourbaki's, Algèbre, Chapters 4 to 7 (1981). This completes Algebra, 1 to 3, by establishing the theories of commutative fields and modules over a principal ideal domain. Chapter 4 deals with polynomials, rational fractions and power series. A section on symmetric tensors and polynomial mappings between modules, and a final one on symmetric functions, have been added. Chapter 5 was entirely rewritten. After the basic theory of extensions (prime fields, algebraic, algebraically closed, radical extension), separable algebraic extensions are investigated, giving way to a section on Galois theory. Galois theory is in turn applied to finite fields and abelian extensions. The chapter then proceeds to the study of general non-algebraic extensions which cannot usually be found in textbooks: p-bases, transcendental extensions, separability criterions, regular extensions. Chapter 6 treats ordered groups and fields and based on it is Chapter 7: modules over a p.i.d. studies of torsion modules, free modules, finite type modules, with applications to abelian groups and endomorphisms of vector spaces. Sections on semi-simple endomorphisms and Jordan decomposition have been added. Chapter IV: Polynomials and Rational Fractions Chapter V: Commutative Fields Chapter VI: Ordered Groups and Fields Chapter VII: Modules Over Principal Ideal Domains.Ce deuxième volume du Livre d Algèbre, deuxième Livre des Éléments de mathématique, traite notamment des extensions de corps et de la théorie de Galois. Il comprend les chapitres : 4. Polynômes et fractions rationnelles ; 5. Corps commutatifs ; 6. Groupes et corps ordonnés ; 7. Modules sur les anneaux principaux. Französisch.
Algèbre 4-7 (2006)
ISBN: 9783540343981 bzw. 3540343989, in Deutsch, Springer-Verlag Gmbh Dez 2006, Taschenbuch, neu.
Neuware - This is a softcover reprint of the English translation of 1990 of the revised and expanded version of Bourbaki's, Algèbre, Chapters 4 to 7 (1981). This completes Algebra, 1 to 3, by establishing the theories of commutative fields and modules over a principal ideal domain. Chapter 4 deals with polynomials, rational fractions and power series. A section on symmetric tensors and polynomial mappings between modules, and a final one on symmetric functions, have been added. Chapter 5 was entirely rewritten. After the basic theory of extensions (prime fields, algebraic, algebraically closed, radical extension), separable algebraic extensions are investigated, giving way to a section on Galois theory. Galois theory is in turn applied to finite fields and abelian extensions. The chapter then proceeds to the study of general non-algebraic extensions which cannot usually be found in textbooks: p-bases, transcendental extensions, separability criterions, regular extensions. Chapter 6 treats ordered groups and fields and based on it is Chapter 7: modules over a p.i.d. studies of torsion modules, free modules, finite type modules, with applications to abelian groups and endomorphisms of vector spaces. Sections on semi-simple endomorphisms and Jordan decomposition have been added. Chapter IV: Polynomials and Rational Fractions Chapter V: Commutative Fields Chapter VI: Ordered Groups and Fields Chapter VII: Modules Over Principal Ideal Domains.Ce deuxième volume du Livre d Algèbre, deuxième Livre des Éléments de mathématique, traite notamment des extensions de corps et de la théorie de Galois. Il comprend les chapitres : 4. Polynômes et fractions rationnelles ; 5. Corps commutatifs ; 6. Groupes et corps ordonnés ; 7. Modules sur les anneaux principaux. Französisch.
Algèbre, chapitres 4 à 7 (2006)
ISBN: 9783540343981 bzw. 3540343989, in Französisch, 432 Seiten, Springer-Verlag Berlin and Heidelberg GmbH & Co. K, gebraucht.
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Eléments de mathématique : Algèbre, chapitres 4 à 7 (1981)
ISBN: 9782225685743 bzw. 2225685746, in Französisch, 424 Seiten, Dunod, gebraucht.
Von Händler/Antiquariat, delcassé.
Relié, Étiquette: Dunod, Dunod, Groupe de produits: Book, Publié: 1981, Studio: Dunod, Vente de rang: 1123655.
ALGEBRE CHAPITRE 4 A 7 (1981)
ISBN: 9782225685743 bzw. 2225685746, in Französisch, elsevier-masson, gebundenes Buch, gebraucht.
Von Händler/Antiquariat, Prestivo3.
Hardcover, Étiquette: elsevier-masson, elsevier-masson, Groupe de produits: Book, Publié: 1981, Studio: elsevier-masson.