Acclaimed by American Mathematical Monthly as "an excellent introduction," this treatment ranges from basic definitions to important results and applications, introducing both the spirit and techniques of abstract algebra. It develops the elementary properties of rings and fields, explores extension fields and Galois theory, and examines numerous applications. 1982 edition.
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Seller: HPB-Diamond, Dallas, TX, U.S.A.
paperback. Condition: Very Good. Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_480834518
Seller: HPB-Emerald, Dallas, TX, U.S.A.
paperback. Condition: Very Good. Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority! Seller Inventory # S_480495787
Seller: World of Books (was SecondSale), Montgomery, IL, U.S.A.
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Seller: Goodwill of Greater Milwaukee and Chicago, Racine, WI, U.S.A.
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Seller: World of Books Inc, Montgomery, IL, U.S.A.
Paperback. Condition: Good. A fascinating branch of algebra with numerous applications, field theory leads the way to one of the most important theorems of mathematics, the fundamental theorem of Galois theory. This text ranges from field theory's basic definitions to its most significant results and applications, introducing both the spirit and techniques of abstract algebra. Appropriate for undergraduate students in pure mathematics, it presupposes minimal knowledge of elementary group theory.Acclaimed by American Mathematical Monthly as -an excellent introduction, - this treatment begins by developing the elementary properties of rings and fields and examining a variety of homomorphisms, vector spaces, and polynomials. Subsequent chapters explore extension fields and their classifications as well as Artin's approach to Galois theory. The concluding section focuses on applications, with considerations of finite fields, cyclotomic extensions, solution by radicals, generic polynomials, and much more. Seller Inventory # CIN0486462668G