Articoli correlati a A Course in Galois Theory
Sinossi
This textbook, based on lectures given over a period of years at Cambridge, is a detailed and thorough introduction to Galois theory.
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Recensione
"This is a marvellous little book. It is characterized by good mathematical taste, plain and elegant language, and an earthy but precise style." Carl Riehm, Mathematical Reviews
Contenuti
Preface; Part I. Algebraic Preliminaries: 1. Groups, fields and vector spaces; 2. The axiom of choice, and Zorn's lemma; 3. Rings; Part II. The Theory of Fields, and Galois Theory: 4. Field extensions; 5. Tests for irreducibility; 6. Ruler-and-compass constructions; 7. Splitting fields; 8. The algebraic closure of a field; 9. Normal extensions; 10. Separability; 11. Automorphisms and fixed fields; 12. Finite fields; 13. The theorem of the primative element; 14. Cubics and quartics; 15. Roots of unity; 16. Cyclic extensions; 17. Solution by radicals; 18. Transcendental elements and algebraic independence; 19. Some further topics; 20. The calculation of Galois groups; Index.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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A Course in Galois Theory
Editore:
Cambridge University Press, 1987
ISBN 10: 0521312493
ISBN 13: 9780521312493
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paperback
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Da: One Planet Books, Columbia, MO, U.S.A.
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paperback. Condizione: Good. 1st Edition. Ships in a BOX from Central Missouri! May not include working access code. Will not include dust jacket. Has used sticker(s) and some writing and/or highlighting. UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes). Codice articolo 000281163U
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A Course in Galois Theory
Editore:
Cambridge University Press, 1987
ISBN 10: 0521312493
ISBN 13: 9780521312493
Antico o usato
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Da: Zubal-Books, Since 1961, Cleveland, OH, U.S.A.
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Condizione: Fine. 176 pp., Paperback, very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Codice articolo ZB1325454
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A Course in Galois Theory
Editore:
Cambridge University Press, 1987
ISBN 10: 0521312493
ISBN 13: 9780521312493
Antico o usato
paperback
Prima edizione
Da: Textbooks_Source, Columbia, MO, U.S.A.
Valutazione del venditore 5 su 5 stelle
paperback. Condizione: Good. 1st Edition. Ships in a BOX from Central Missouri! May not include working access code. Will not include dust jacket. Has used sticker(s) and some writing or highlighting. UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes). Codice articolo 000281163U
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A Course in Galois Theory
Editore:
Cambridge University Press, 1987
ISBN 10: 0521312493
ISBN 13: 9780521312493
Antico o usato
paperback
Da: HPB-Emerald, Dallas, TX, U.S.A.
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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_448637049
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A Course in Galois Theory
Editore:
Cambridge University Press, 1987
ISBN 10: 0521312493
ISBN 13: 9780521312493
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Paperback
Da: AMM Books, Gillingham, KENT, Regno Unito
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Paperback. Condizione: Very Good. In stock ready to dispatch from the UK. Codice articolo mon0000296430
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A Course in Galois Theory
Editore:
Cambridge University Press, United Kingdom, Cambridge, 1987
ISBN 10: 0521312493
ISBN 13: 9780521312493
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Paperback
Da: WorldofBooks, Goring-By-Sea, WS, Regno Unito
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Paperback. Condizione: Very Good. Galois theory is one of the most beautiful branches of mathematics. By synthesising the techniques of group theory and field theory it provides a complete answer to the problem of the solubility of polynomials by radicals: that is, the problem of determining when and how a polynomial equation can be solved by repeatedly extracting roots and using elementary algebraic operations. This textbook, based on lectures given over a period of years at Cambridge, is a detailed and thorough introduction to the subject. The work begins with an elementary discussion of groups, fields and vector spaces, and then leads the reader through such topics as rings, extension fields, ruler-and-compass constructions, to automorphisms and the Galois correspondence. By these means, the problem of the solubility of polynomials by radicals is answered; in particular it is shown that not every quintic equation can be solved by radicals. Throughout, Dr Garling presents the subject not as something closed, but as one with many applications. In the final chapters, he discusses further topics, such as transcendence and the calculation of Galois groups, which indicate that there are many questions still to be answered. The reader is assumed to have no previous knowledge of Galois theory. Some experience of modern algebra is helpful, so that the book is suitable for undergraduates in their second or final years. There are over 200 exercises which provide a stimulating challenge to the reader. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Codice articolo GOR006357867
Quantità: 4 disponibili
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A Course in Galois Theory
Editore:
Cambridge University Press, 1986
ISBN 10: 0521312493
ISBN 13: 9780521312493
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Da: Anybook.com, Lincoln, Regno Unito
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Condizione: Poor. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In poor condition, suitable as a reading copy. Front fly leaf appears to have been removed. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,400grams, ISBN:9780521312493. Codice articolo 4314096
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Course in Galois Theory
Editore:
Cambridge University Press, 1987
ISBN 10: 0521312493
ISBN 13: 9780521312493
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Condizione: As New. Unread book in perfect condition. Codice articolo 694933
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Course in Galois Theory
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PAP. Condizione: New. New Book. Shipped from UK. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice articolo L0-9780521312493
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