This is a softcover reprint of the English translation of 1990 of the revised and expanded version of Bourbaki's, Alg???bre , 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 ...
Read More
This is a softcover reprint of the English translation of 1990 of the revised and expanded version of Bourbaki's, Alg???bre , 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, 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 Fractions Chapter V: Commutative Fields Chapter VI: Ordered Groups and Fields Chapter VII: Modules Over Principal Ideal Domains
Read Less
Add this copy of Algebra II: Chapters 4-7 (Elements of Mathematics) to cart. $60.23, good condition, Sold by Goodwill of Orange County rated 5.0 out of 5 stars, ships from Santa Ana, CA, UNITED STATES, published 2003 by Springer.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Book has internal/external wear and/or highlighting and underlining. It may have creases on the cover and some folded pages. This is a USED book. Codes have been used. All items ship Monday-Friday within 2-3 business days. Thank you for supporting Goodwill of OC.
Add this copy of Algebra II: Chapters 4 - 7 to cart. $61.05, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2003 by Springer.
Add this copy of Algebra II: Chapters 4 - 7 to cart. $77.75, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2003 by Springer.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Trade paperback (US). Glued binding. 453 p. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
