ISBN: 9781441919472 - a field guide to algebra (undergraduate texts in mathematics) (13 resultados)

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Condición: As New. Unread book in perfect condition.

Condición: New. pp. 210.

Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This is a small book on algebra where the stress is laid on the structure of elds, hence its title. Youwillhearaboutequations,bothpolynomialanddi erential,andabout the algebraic structure of their solutions. For example, it has been known for centuries how to explicitely solve polynomial equations of degree 2 (Baby- nians, many centuries ago), 3 (Scipione del Ferro, Tartaglia, Cardan, around th 1500a.d.), and even 4 (Cardan, Ferrari,xvi century), using only algebraic operations and radicals (nth roots). However, the case of degree 5 remained unsolved until Abel showed in 1826 that a general equation of degree 5 cannot be solved that way. Soon after that, Galois de ned the group of a polynomial equation as the group of permutations of its roots (say, complex roots) that preserve all algebraicidentitieswithrationalcoe cientssatis edbytheseroots.Examples of such identities are given by the elementary symmetric polynomials, for it is well known that the coe cients of a polynomial are (up to sign) elementary symmetric polynomials in the roots. In general, all relations are obtained by combining these, but sometimes there are new ones and the group of the equation is smaller than the whole permutation group. Galois understood how this symmetry group can be used to characterize the solvability of the equation. He de ned the notion of solvable group and showed that if the group of the equation is solvable, then one can express its roots with radicals, and conversely.…

Taschenbuch. Condición: Neu. A Field Guide to Algebra | Antoine Chambert-Loir | Taschenbuch | x | Englisch | 2010 | Springer New York | EAN 9781441919472 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…

Condición: new. Questo è un articolo print on demand.

PF. Condición: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 6-7 days from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely.

Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book has a nonstandard choice of topics, including material on differential galois groups and proofs of the transcendence of e and pi. The author uses a conversational tone and has included a selection of stamps to accompany the text. 198 pp. Englisch.…

Condición: New. Print on Demand pp. 210 12 Illus.

Condición: New. PRINT ON DEMAND pp. 210.

Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Has a nonstandard choice of topics, including material on differential galois groups and proofs of the transcendence of e and piThe author uses a conversational tone and has included a selection of stamps to accompany the textAntoine Ch.…