Articoli correlati a Introduction to Field Theory
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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.
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.
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Informazioni sull'autore
The author is retired from the University of Dundee.
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Introduction to Field Theory: Second Edition (Dover Books on Mathematics)
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Introduction to Field Theory: Second Edition (Dover Books on Mathematics)
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paperback. Condizione: 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! Codice articolo S_480495787
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Introduction to Field Theory D
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Dover Publications, 2007
ISBN 10: 0486462668
ISBN 13: 9780486462660
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Introduction to Field Theory: Second Edition (Dover Books on Mathematics)
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Condizione: good. Book is considered to be in good or better condition. The actual cover image may not match the stock photo. Hard cover books may show signs of wear on the spine, cover or dust jacket. Paperback book may show signs of wear on spine or cover as well as having a slight bend, curve or creasing to it. Book should have minimal to no writing inside and no highlighting. Pages should be free of tears or creasing. Stickers should not be present on cover or elsewhere, and any CD or DVD expected with the book is included. Book is not a former library copy. Codice articolo 459IUB0061L1_ns
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Introduction to Field Theory
Editore:
Dover Publications Inc., 2007
ISBN 10: 0486462668
ISBN 13: 9780486462660
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Paperback
Da: World of Books Inc, Montgomery, IL, U.S.A.
Valutazione del venditore 4 su 5 stelle
Paperback. Condizione: 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. Codice articolo CIN0486462668G
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