Isbn: 9783540007067 - algebra ii: chapters 4-7 (elements of mathematics) (chapters 4-7 pt. 2) (6 Ergebnisse)

Zustand: New. In English.

Gebunden. Zustand: New.

paperback. Zustand: Sehr gut. 464 Seiten; 9783540007067.2 Gewicht in Gramm: 1.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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). Thiscompletes 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, regularextensions. 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 FractionsChapter V: Commutative FieldsChapter VI: Ordered Groups and FieldsChapter VII: Modules Over Principal Ideal Domains.…

Paperback. Zustand: Brand New. 461 pages. German language. 9.00x6.25x1.00 inches. In Stock.

Zustand: gut. 2003. Algebra II: Chapters 4-7 (Elements of Mathematics) (Chapters 4-7 Pt. 2) In deutscher Sprache. pages.